Experimental Analysis of Heat Transfer Augmentation in Double Pipe Heat Exchanger using Tangential Entry of Fluid

Size: px
Start display at page:

Download "Experimental Analysis of Heat Transfer Augmentation in Double Pipe Heat Exchanger using Tangential Entry of Fluid"

Transcription

1 ISR Journal of Mecanical & Civil Engineering (ISRJMCE) e-issn: ,p-ISSN: X PP Experimental Analysis of Heat Transfer Augmentation in Double Pipe Heat Excanger using Tangential Entry of Fluid Hanumant Jagdale, Subas Laane (Department of Mecanical Engineering, MIT Aurangabad, Dr. BAMU Aurangabad, Maarastra, India) Abstract:In tis work, te effect of eat transfer enancement of swirl generator wit tangential injection of fluid was examined. Te five tangential injectors are placed suc tat tey are equidistance along te lengt of pipe to improve te efficiency of eat transfer in concentric pipe eat excanger te injectors are designed and placed suc tat it creates tangential flow in te pipe. Te experiment performed for water as working fluid, ot water flowing troug inner tube of material mild steel wit inner diameter (ID) 16 mm and outer diameter (D) 21 mm and cold water flowing troug annulus space to generate swirling motion. Te outer tube of material UPVC (un-plasticized polyvinyl cloride) aving ID 35 mm and D 42 mm. Te experiment was performed for different Reynolds number ranging from for parallel and counter flow configurations. It is observed from te experimental results tat te eat transfer rate increased wit increase in Reynolds number. Heat transfer rate was increased about 20 % to 70 % wit tangential injector type swirl generator tan te eat excanger witout tangential injectors. It was also observed tat te maximum eat transfer coefficients (1613 W/ m2k) could be acieved at Reynolds number of 4600 for all (five) nozzles opening wit 70 % increase in eat transfer. Keywords - Tangential, swirl flow, eat transfer augmentation, nozzles I. INTRDUCTIN Heat transfer is widely used in many applications in eat excangers, cemical process, gas and oil production, air condition, automotive or food industries. Modern engineering and tecnology is moving constantly upward on te temperature scale and subsequently te concept of augmentation of eat transfer as derived te attention of many scientists and engineers in te past few decades [1]. A general consideration in designing a eat excanger is to make it compact, i.e., increase te overall eat transfer coefficient. Anoter consideration is reducing te temperature of driving forces wic enances te second law efficiency and decreases entropy generation. ver te past decades, several metods ave developed and extensively applied to eat excangers [2]. Te double pipe eat excangers are te most important device used in industrial and engineering applications. Te economic and energy considerations continuously motivate investigators to searc for efficient metods of eat transfer. Tere are different eat transfer augmentations metods available to increase te eat transfer rate and make instrument compact and incorporated into eat excanger are passive, active and compound tecniques [3]. Passive tecnique is used surface or geometrical modifications to te flow by incorporating inserts or additional devices. Higer eat transfer coefficients acieved by disturbing te flow beavior wic also leads to increase in te pressure drop. Passive tecniques old te advantage over te active tecniques as tey do not require any direct input of external power [3-4]. Tis tecnique includes treated surfaces, roug surfaces, extended fins, swirl flow device, coiled tubes etc. Active tecniques require external power to disturb te flow and improvement in eat transfer rate. Tis tecnique finds limited application because of te need of external power in many practical applications [4]. Tis tecnique includes mecanical aids, surface vibration, fluid vibration, injection, jet impingements etc. In compound tecniques, tere is use of one or more tan one of te above mentioned tecniques in combination to improve te performance of a eat excanger [4]. Active and compound metods are rarely used because of teir complexity & cost [5]. Te swirl flow is one of te tecniques tat ave been used successfully in te past to augment eat transfer [6]. Te eat transfer augmentation along wit swirl in te flow was proposed by Kreit and Margolis [7]. In tis concept, tangential injection was used and te vortex motion maintained by repeated addition of fluid troug appropriately spaced injection oles for any desired distance. Swirl flows result from an application of a spiral motion, a swirl velocity component (also called as tangential or azimutal velocity component) being imparted to te flow by te use of various swirl-generating metods. Many researcers ave studied te eat transfer caracteristics of swirl flows by using various swirls. Generally, te swirling pipe flows are classified into two types: (i) Continuous swirl flows, wic maintain teir caracteristics over entire lengt of test section; 5 t National Conference RDME 2016, t Marc Page

2 and (ii) decaying swirl flows [8]. Gupta et al. [9] classified te metod of generating swirl into tree main categories- (i) tangential entry, (ii) guide vanes and (iii) direct rotation. Te tangential entry of te fluid into a duct stream can be acieved by a single tangential inlet duct (circular or rectangular at different angles to te pipe axis) or more tan one tangential entry, tangential inlet nozzles, tangential macined slots and tangentially drilled slots. Te swirl can be produced in te flow by tangential of te fluid by single tangential entry or te combination of axial plus tangential entry. Dir, et al. [10] experimentally determined augmentation of eat transfer wit air as te test fluid and Reynolds numbers ranging from to Te air was injected tangential to te inner walls of te eat excanger tubes troug square edged injectors extending perpendicular from te tube surface. Te net augmentation of eat transfer, at constant pumping power, was between 3% and 14% depending on te momentum ratio. It was also found tat te effectiveness of te system is igly dependent on te ratio of te rates of tangential to total momentum fluxes. Te two measure mecanisms of augmentation are observed- i) ig maximum axial velocity near te wall produces iger eat flux from te wall, ii) ig turbulence level in te middle region of tube improves mixing and tus, te rate of eat transfer [11]. Cang and Dir [11] carried out an experimental study for te eat transfer augmentation for a turbulent flow wit tangentially injected swirl flows in vertical tubes. It was found tat te momentum flux ratio is te most effective parameter tat enances eat transfer wile Reynolds number affects it weakly and te effect of te fluid Prandtl number is very weak. Also, te injector tube diameter and number of injectors do not affect te eat transfer enancement. Te effect of injection include swirl flow on single and two pase eat transfer using water as a working fluid was investigated by Guo and Dir [6]. It was found tat, on a constant pumping power basis, a net enancement of about 20% could be acieved experimentally at a momentum flux ratio of about 9.6. Te different parameters of swirling flow generated by injection were studied experimentally by Akpinar et al. [12-13] and Çakmak and Yıldız [14]. Tey studied te effect of oles diameter, oles number and angle of injection on te eat transfer rate and pressure drop. Tey found tat, using injector to create swirling flow enances eat transfer rate but it increases te pressure drop and requires more pumping power. II. EXPERIMENTAL DETAILS Experiment was performed for bot parallel flow and counter flow for different values of Reynolds number from 2000 to 5000 and for different nozzles openings. In tis experiment ot water was passed troug inner tube, wile cold water passed troug annulus space between inner and outer tube. Hot water was acieved by gas geyser provided to te experimental setup as sown in Fig. 1. Fig.1. (a) Layout of experimental set-up, (b) Working set-up (c) 3-D view of tangential injection tube of double pipe eat excanger wit tangential entry. 5 t National Conference RDME 2016, t Marc Page

3 Te mass flow rate of ot water keeping as constant i.e.300 LPH and tat of cold water was varied from 300 LPH to 600 LPH in te step of 50 LPH and simultaneously temperature of inlet and outlet of ot and cold water were recorded. Temperatures of cold water and ot water inlet and outlet were measured wit te elp of termocouples. Five nozzles are fitted tangential to te axis of pipe equidistance along te lengt of tube suc tat tey are tangentially perpendicular to te lengt of pipe. Nozzles are opened (consecutive opening and closing) one by one and te temperatures at te inlet and outlet of cold and ot water are measured. Te layout of experimental setup and working setup of tangential entry nozzles are sown in Fig. 1. III. MATHEMATICAL CALCULATINS In concentric eat excanger te eat given by ot fluid is expressed by Equation 1 and it is te function of mass of ot fluid, specific eat and temperature difference. m C T T (1) p o i Te eat received by cold fluid is expressed by Equation 2 and it is te function of mass of cold fluid, specific eat and temperature difference. c m C T T (2) c p co ci Te average eat transfer rate for ot and cold fluid is calculated using Equation 3 by calculating te average of eat given by ot fluid and eat received by cold fluid. avg c (3) 2 Te overall eat transfer coefficients is calculated by using Equation 4 and it is te function of average eat transfer, logaritmic mean temperature difference (LMTD) and outer surface area. U avg (4) A LMTD Reynolds number can be calculated by using Equation 5 and wic is te function of inertial force to te viscous force. Re Vd (5) Te termo pysical properties of water wic is used to calculate Reynolds number is determined at mean temperature calculated using Equation 6. T avg IV. T i T (6) 2 RESULTS AND DISCUSSIN Te experimental value of eat transfer coefficient is determined by plotting Wilson cart [15-16]. Te Wilson cart is plotted for variation of 1/ (Re) 0.8 wit 1/ Uo as sown in Fig. 2. Te y intercept as k (fouling resistance) taken from te Wilson cart and eat transfer enancement is calculated by using Equation 7. 1 exp t U 1 k (7) 5 t National Conference RDME 2016, t Marc Page

4 Fig.2. Wilson plot Te experiment was performed for different Reynolds number for different nozzle openings and te results obtained for parallel and counter flow models for eat transfer coefficient are discussed in tis section. Heat transfer coefficient results for plain tube and tube wit tangential entry for parallel flow and counter flow model are obtained for range of Reynolds number from Te comparison of te plain pipe and pipe wit tangential wit different nozzle openings is sown in Fig. 3. It is seen tat expt increases wit increase in Reynolds number for bot te configurations. For plain pipe expt value is varies from W/m 2 K for range of Reynolds number As compared to tangential entry tube wit 1-nozzle and 2-nozzles opening plain tube is efficient and gives better results. 40 % more expt is observed over te 1-nozzle open and 26 % more expt is observed over 2-nozzle openings. For 3-nozzles opening, 4-nozzles openings and 5-nozzle openings value of expt dominates over te plain pipe. About 35 %, 72 % and 77 % augmentation in expt for 3-nozzles openings, 4-nozzles openings and 5- nozzle openings over te plain pipe configuration is acieved respectively. For parallel flow model consecutive tree openings of nozzles are required for te better results. Fig.3. Variation of eat transfer coefficient wit Reynolds number for plain tube and tangential injection wit different nozzles openings (Parallel flow model) Te comparison between plain pipe and tangential entry pipe wit different nozzle entries open for counter flow configuration as sown in Fig.4. It is seen tat expt increases wit increase in Re for bot te pipes. For plain pipe expt value is varies from W/m 2 K for range of Re from As compared to tangential entry pipe wit 1-nozzle openings and 2-nozzles openings, plain pipe configuration is efficient and 5 t National Conference RDME 2016, t Marc Page

5 gives better results. About 38 % more expt is observed over te 1-nozzle open and 25 % more expt is observed over 2-nozzle openings. For 3- nozzles, 4-nozzles and 5-nozzle openings value of expt dominates over te plain tube value. About 19%, 33 % and 67 % augmentation in expt for 3- nozzles, 4-nozzles and 5-nozzle openings over te plain tube is acieved respectively. For counter flow model consecutive tree openings of nozzles are required for te better results. As te number of entries increases expt increases wit increase in Reynolds number. Fig.4. Variation of eat transfer coefficient wit Reynolds number for plain tube and tangential injection wit different nozzles openings (Counter flow model) Fig.5. sows te performance of different tangential entries for parallel and counter flow model. From te experimental results reveals tat as te number of tangential entries increases eat transfer coefficient increases wit Reynolds number. It as been observed tat as te number of entries increases te eat transfer coefficient increases wit respect to te Reynolds number. Counter flow configuration gives te better results over te plain tube for all cases. As te number of entries increases te temperature difference goes on increasing along te flow ence te eat transfer coefficient also increases. Also te local turbulence gives te advantage of te mixing of fluid. Fig.5. Variation of eat transfer coefficient wit Reynolds number for tangential injection wit different nozzles openings (Parallel and counter flow model) 5 t National Conference RDME 2016, t Marc Page

6 V. CNCLUSINS Te experiment is performed for bot te plain tube and tube wit tangential injector entries and te conclusion is summarized as follows: As Reynolds number increases te eat transfer augmentation is increases for bot plain tube and tangential injection configurations. Te turbulence (swirl or vortex) in te flow is increased wit every addition of tangential entry nozzles. Te increase in eat transfer augmentation was observed about 70 % wit tangential entry configuration over plain pipe for counter flow configuration. Te igest eat transfer augmentation was found 1613 W/ m 2 K. Te best operating range of Reynolds number for tis experimentation is NMENCLATURES TNP tangential nozzles openings in parallel flow TNC tangential nozzles openings in counter flow LMTD log mean temperature difference LPH litres per our k fouling resistance REFERENCES [1] K Sailendra, A. Devi, n te enanced eat transfer in te oscillatory flow of liquid metals, Journal of Applied Fluid Mecanics, 4, 2011, [2] S Vaidifar, M Karom, Experimental study of eat transfer enancement in a eated tube caused by wire-coil and rings, Journal of Applied Fluid Mecanics, 8 (4), 2015, [3] N Kumar, P Murugesan, Review of twisted tapes eat transfer enancement, International Journal of Scientific and Engineering Researc, 3 (4), 2012, 1-9. [4] A Gupta, M Uniyal, Review of eat transfer augmentation troug different passive intensifier metod, ISR Journal of Mecanical and Civil Engineering, 1 (4), 2012, [5] S Babar, K Devade, Heat transfer enancement in pipe in pipe eat excanger wit swirling flow: Review, International Journal for Scientific Researc & Development, 3 (3), 2015, [6] Z Guo, V Dir, Single and two pase eat transfer in tangential injection-induced swirl flow, International Journal of Heat and Fluid Flow, 10 (3), 1989, [7] F. Kreit, D Margolis, Heat transfer and friction in turbulent vortex flow, Applied Scientific Researc, Section A, 8 (1), 1959, [8] M Yilmaz, Comakli, S Yapici, Enancement of eat transfer by turbulent decaying swirl flow, Energy Conversion and Management, 40 (13),1999, [9] A. K. Gupta, D. G. Lilley, N. Syred, Swirl Flows (Abacus Press, Cambridge, 1984). V Dir, S Monica, Heat transfer enancement using tangential injection, United State Patent, US A, [10] F Cang, V Dir, Mecanisms of eat transfer enancement and slow decay of swirl in tubes using tangential injection, International Journal of Heat and Fluid Flow, 16, 1995, [11] E Akpinar, Y Bicer, C Yildiz, D Pelivan, Heat transfer enancements in a concentric double pipe excanger equipped wit swirl elements, International Communications in Heat and Mass Transfer, 31 (6), 20014, [12] E Akpinar, Y Bicer, Investigation of eat transfer and exergy loss in a concentric double pipe excanger equipped wit swirl generator, International Journal of Termal Sciences, 44, 2005, [13] G Çakmak, C Yıldız, Te influence of te injectors wit swirling flow generating on te eat transfer in te concentric eat excanger, International Communications in Heat and Mass Transfer, 34, 2007, [14] M. Ratore, Engineering Heat and Mass Transfer, (3rd ed. New Deli: University science press, [15] J Rose, Heat-transfer coefficients, Wilson plots and accuracy of termal measurements, Experimental Termal and Fluid Science, 28, 2004, t National Conference RDME 2016, t Marc Page

HEAT TRANSFER ENHANCEMENT IN HEAT EXCHANGER USING TANGENTIAL INJECTOR TYPE SWIRL GENERATOR

HEAT TRANSFER ENHANCEMENT IN HEAT EXCHANGER USING TANGENTIAL INJECTOR TYPE SWIRL GENERATOR HEAT TRANSFER ENHANCEMENT IN HEAT EXCHANGER USING TANGENTIAL INJECTOR TYPE SWIRL GENERATOR Hanumant Jagdale Department of Mechanical Engineering, MIT, Aurangabad, India Subhash Lahane Department of Mechanical

More information

CFD Analysis and Optimization of Heat Transfer in Double Pipe Heat Exchanger with Helical-Tap Inserts at Annulus of Inner Pipe

CFD Analysis and Optimization of Heat Transfer in Double Pipe Heat Exchanger with Helical-Tap Inserts at Annulus of Inner Pipe IOR Journal Mecanical and Civil Engineering (IOR-JMCE) e-in: 2278-1684,p-IN: 2320-334X, Volume 13, Issue 3 Ver. VII (May- Jun. 2016), PP 17-22 www.iosrjournals.org CFD Analysis and Optimization Heat Transfer

More information

Study of Convective Heat Transfer through Micro Channels with Different Configurations

Study of Convective Heat Transfer through Micro Channels with Different Configurations International Journal of Current Engineering and Tecnology E-ISSN 2277 4106, P-ISSN 2347 5161 2016 INPRESSCO, All Rigts Reserved Available at ttp://inpressco.com/category/ijcet Researc Article Study of

More information

Simulation and verification of a plate heat exchanger with a built-in tap water accumulator

Simulation and verification of a plate heat exchanger with a built-in tap water accumulator Simulation and verification of a plate eat excanger wit a built-in tap water accumulator Anders Eriksson Abstract In order to test and verify a compact brazed eat excanger (CBE wit a built-in accumulation

More information

The entransy dissipation minimization principle under given heat duty and heat transfer area conditions

The entransy dissipation minimization principle under given heat duty and heat transfer area conditions Article Engineering Termopysics July 2011 Vol.56 No.19: 2071 2076 doi: 10.1007/s11434-010-4189-x SPECIAL TOPICS: Te entransy dissipation minimization principle under given eat duty and eat transfer area

More information

Use of fin analysis for determination of thermal conductivity of material

Use of fin analysis for determination of thermal conductivity of material RESEARCH ARTICLE OPEN ACCESS Use of fin analysis for determination of termal conductivity of material Nea Sanjay Babar 1, Saloni Suas Desmuk 2,Sarayu Dattatray Gogare 3, Snea Barat Bansude 4,Pradyumna

More information

Heat Transfer/Heat Exchanger

Heat Transfer/Heat Exchanger Heat ransfer/heat Excanger How is te eat transfer? Mecanism of Convection Applications. Mean fluid Velocity and Boundary and teir effect on te rate of eat transfer. Fundamental equation of eat transfer

More information

Department of Mechanical Engineering, Azarbaijan Shahid Madani University, Tabriz, Iran b

Department of Mechanical Engineering, Azarbaijan Shahid Madani University, Tabriz, Iran b THERMAL SCIENCE, Year 2016, Vol. 20, No. 2, pp. 505-516 505 EXPERIMENTAL INVESTIGATION ON FLOW AND HEAT TRANSFER FOR COOLING FLUSH-MOUNTED RIBBONS IN A CHANNEL Application of an Electroydrodinamics Active

More information

Journal of Applied Science and Agriculture. The Effects Of Corrugated Geometry On Flow And Heat Transfer In Corrugated Channel Using Nanofluid

Journal of Applied Science and Agriculture. The Effects Of Corrugated Geometry On Flow And Heat Transfer In Corrugated Channel Using Nanofluid Journal o Applied Science and Agriculture, 9() February 04, Pages: 408-47 AENSI Journals Journal o Applied Science and Agriculture ISSN 86-9 Journal ome page: www.aensiweb.com/jasa/index.tml Te Eects O

More information

De-Coupler Design for an Interacting Tanks System

De-Coupler Design for an Interacting Tanks System IOSR Journal of Electrical and Electronics Engineering (IOSR-JEEE) e-issn: 2278-1676,p-ISSN: 2320-3331, Volume 7, Issue 3 (Sep. - Oct. 2013), PP 77-81 De-Coupler Design for an Interacting Tanks System

More information

Desalination by vacuum membrane distillation: sensitivity analysis

Desalination by vacuum membrane distillation: sensitivity analysis Separation and Purification Tecnology 33 (2003) 75/87 www.elsevier.com/locate/seppur Desalination by vacuum membrane distillation: sensitivity analysis Fawzi Banat *, Fami Abu Al-Rub, Kalid Bani-Melem

More information

Chapters 19 & 20 Heat and the First Law of Thermodynamics

Chapters 19 & 20 Heat and the First Law of Thermodynamics Capters 19 & 20 Heat and te First Law of Termodynamics Te Zerot Law of Termodynamics Te First Law of Termodynamics Termal Processes Te Second Law of Termodynamics Heat Engines and te Carnot Cycle Refrigerators,

More information

HT TURBULENT NATURAL CONVECTION IN A DIFFERENTIALLY HEATED VERTICAL CHANNEL. Proceedings of 2008 ASME Summer Heat Transfer Conference HT2008

HT TURBULENT NATURAL CONVECTION IN A DIFFERENTIALLY HEATED VERTICAL CHANNEL. Proceedings of 2008 ASME Summer Heat Transfer Conference HT2008 Proceedings of 2008 ASME Summer Heat Transfer Conference HT2008 August 10-14, 2008, Jacksonville, Florida USA Proceedings of HT2008 2008 ASME Summer Heat Transfer Conference August 10-14, 2008, Jacksonville,

More information

Analysis of Static and Dynamic Load on Hydrostatic Bearing with Variable Viscosity and Pressure

Analysis of Static and Dynamic Load on Hydrostatic Bearing with Variable Viscosity and Pressure Indian Journal of Science and Tecnology Supplementary Article Analysis of Static and Dynamic Load on Hydrostatic Bearing wit Variable Viscosity and Pressure V. Srinivasan* Professor, Scool of Mecanical

More information

Hydraulic validation of the LHC cold mass heat exchanger tube.

Hydraulic validation of the LHC cold mass heat exchanger tube. Hydraulic validation o te LHC cold mass eat excanger tube. LHC Project Note 155 1998-07-22 (pilippe.provenaz@cern.c) Pilippe PROVENAZ / LHC-ACR Division Summary Te knowledge o te elium mass low vs. te

More information

Theoretical Analysis of Flow Characteristics and Bearing Load for Mass-produced External Gear Pump

Theoretical Analysis of Flow Characteristics and Bearing Load for Mass-produced External Gear Pump TECHNICAL PAPE Teoretical Analysis of Flow Caracteristics and Bearing Load for Mass-produced External Gear Pump N. YOSHIDA Tis paper presents teoretical equations for calculating pump flow rate and bearing

More information

Determination of heat transfer intensity between free streaming water film and rigid surface using thermography

Determination of heat transfer intensity between free streaming water film and rigid surface using thermography IV Conferencia Panamericana de END Buenos Aires Octubre 2007 Determination of eat transfer intensity between free ing water film and rigid surface using termograpy Ivanka Boras and Srecko Svaic Faculty

More information

Fundamentals of Heat Transfer Muhammad Rashid Usman

Fundamentals of Heat Transfer Muhammad Rashid Usman Fundamentals of Heat Transfer Muammad Rasid Usman Institute of Cemical Engineering and Tecnology University of te Punjab, Laore. Figure taken from: ttp://eatexcanger-design.com/20/0/06/eat-excangers-6/

More information

Elmahdy, A.H.; Haddad, K. NRCC-43378

Elmahdy, A.H.; Haddad, K. NRCC-43378 Experimental procedure and uncertainty analysis of a guarded otbox metod to determine te termal transmission coefficient of skyligts and sloped glazing Elmady, A.H.; Haddad, K. NRCC-43378 A version of

More information

Section A 01. (12 M) (s 2 s 3 ) = 313 s 2 = s 1, h 3 = h 4 (s 1 s 3 ) = kj/kgk. = kj/kgk. 313 (s 3 s 4f ) = ln

Section A 01. (12 M) (s 2 s 3 ) = 313 s 2 = s 1, h 3 = h 4 (s 1 s 3 ) = kj/kgk. = kj/kgk. 313 (s 3 s 4f ) = ln 0. (a) Sol: Section A A refrigerator macine uses R- as te working fluid. Te temperature of R- in te evaporator coil is 5C, and te gas leaves te compressor as dry saturated at a temperature of 40C. Te mean

More information

Effects of Radiation on Unsteady Couette Flow between Two Vertical Parallel Plates with Ramped Wall Temperature

Effects of Radiation on Unsteady Couette Flow between Two Vertical Parallel Plates with Ramped Wall Temperature Volume 39 No. February 01 Effects of Radiation on Unsteady Couette Flow between Two Vertical Parallel Plates wit Ramped Wall Temperature S. Das Department of Matematics University of Gour Banga Malda 73

More information

International Journal of Advanced Engineering Research and Studies E-ISSN

International Journal of Advanced Engineering Research and Studies E-ISSN Research Paper ANALYSIS OF TWISTED TAPE WITH STRAIGHT WINGLETS TO IMPROVE THE THERMO-HYDRAULIC PERFORMANCE OF TUBE IN TUBE HEAT EXCHANGER Mr.S.D.Patil 1, Prof. A.M. Patil 2, Prof. Gutam S. Kamble 3 Address

More information

Heat Augmentation Using Non-metallic Flow Divider Type Inserts in Forced Convection

Heat Augmentation Using Non-metallic Flow Divider Type Inserts in Forced Convection IOSR Journal of Mechanical and Civil Engineering (IOSR-JMCE) e-issn: 2278-1684,p-ISSN: 2320-334X PP. 62-67 www.iosrjournals.org Heat Augmentation Using Non-metallic Flow Divider Type Inserts in Forced

More information

Carnot Factor of a Vapour Power Cycle with Regenerative Extraction

Carnot Factor of a Vapour Power Cycle with Regenerative Extraction Journal of Modern Pysics, 2017, 8, 1795-1808 ttp://www.scirp.org/journal/jmp ISSN Online: 2153-120X ISSN Print: 2153-1196 arnot Factor of a Vapour Power ycle wit Regenerative Extraction Duparquet Alain

More information

The Basics of Vacuum Technology

The Basics of Vacuum Technology Te Basics of Vacuum Tecnology Grolik Benno, Kopp Joacim January 2, 2003 Basics Many scientific and industrial processes are so sensitive tat is is necessary to omit te disturbing influence of air. For

More information

Chapter 4 Optimal Design

Chapter 4 Optimal Design 4- Capter 4 Optimal Design e optimum design of termoelectric devices (termoelectric generator and cooler) in conjunction wit eat sins was developed using dimensional analysis. ew dimensionless groups were

More information

Optimization of flat tubular molten salt receivers

Optimization of flat tubular molten salt receivers Optimization of flat tubular molten salt receivers Meige Zeng, Jon Pye Researc Scool of Engineering, Australian National University, Canberra, Australia Abstract E-mail: meige.zeng@anu.edu.au, jon.pye@anu.edu.au

More information

Physics 207 Lecture 23

Physics 207 Lecture 23 ysics 07 Lecture ysics 07, Lecture 8, Dec. Agenda:. Finis, Start. Ideal gas at te molecular level, Internal Energy Molar Specific Heat ( = m c = n ) Ideal Molar Heat apacity (and U int = + W) onstant :

More information

2016 PRELIM 2 PAPER 2 MARK SCHEME

2016 PRELIM 2 PAPER 2 MARK SCHEME 06 River Valley Hig Scool Prelim Paper Mark Sceme 06 PRELIM PAPER MARK SCHEME (a) V 5.00 X 85. 9V 3 I.7 0 X V I X V I X 0.03 0. 85.9 5.00.7 X 48.3 00 X X 900 00 [A0] Anomalous data can be identified. Systematic

More information

232 Calculus and Structures

232 Calculus and Structures 3 Calculus and Structures CHAPTER 17 JUSTIFICATION OF THE AREA AND SLOPE METHODS FOR EVALUATING BEAMS Calculus and Structures 33 Copyrigt Capter 17 JUSTIFICATION OF THE AREA AND SLOPE METHODS 17.1 THE

More information

Chapter 3 Thermoelectric Coolers

Chapter 3 Thermoelectric Coolers 3- Capter 3 ermoelectric Coolers Contents Capter 3 ermoelectric Coolers... 3- Contents... 3-3. deal Equations... 3-3. Maximum Parameters... 3-7 3.3 Normalized Parameters... 3-8 Example 3. ermoelectric

More information

LAMINAR FORCED CONVECTION TO FLUIDS IN COILED PIPE SUBMERGED IN AGITATED VESSEL

LAMINAR FORCED CONVECTION TO FLUIDS IN COILED PIPE SUBMERGED IN AGITATED VESSEL Int. J. Mec. Eng. & Rob. Res. 05 Ansar Ali S K et al., 05 Researc Paper LAMIAR FORCED COVECTIO TO FLUIDS I COILED PIPE SUBMERGED I AGITATED VESSEL Ansar Ali S K *, L P Sing and S Gupta 3 ISS 78 049 www.ijmerr.com

More information

Heat Transfer Enhancement of Shell and Tube Heat Exchanger Using Conical Tapes.

Heat Transfer Enhancement of Shell and Tube Heat Exchanger Using Conical Tapes. ISSN : 2248-9622, Vol. 4, Issue 12( Part 3), December 214, pp.6-11 RESEARCH ARTICLE OPEN ACCESS Heat Transfer Enhancement of Shell and Tube Heat Exchanger Using Conical Tapes. Dhanraj S.Pimple 1,Shreeshail.B.H

More information

SSRG International Journal of Mechanical Engineering ( SSRG IJME ) Volume 2 Issue 5 May 2015

SSRG International Journal of Mechanical Engineering ( SSRG IJME ) Volume 2 Issue 5 May 2015 Heat Transfer Enhancement in a Tube using Elliptical-Cut Twisted Tape Inserts Pratik P. Ganorkar 1, R.M. Warkhedkar 2 1 Heat power Engineering, Department of Mechanical Engineering, Govt. collage of engineering

More information

Model development for the beveling of quartz crystal blanks

Model development for the beveling of quartz crystal blanks 9t International Congress on Modelling and Simulation, Pert, Australia, 6 December 0 ttp://mssanz.org.au/modsim0 Model development for te beveling of quartz crystal blanks C. Dong a a Department of Mecanical

More information

COMPARISON OF FUZZY LOGIC CONTROLLERS FOR A MULTIVARIABLE PROCESS

COMPARISON OF FUZZY LOGIC CONTROLLERS FOR A MULTIVARIABLE PROCESS COMPARISON OF FUZZY LOGIC CONTROLLERS FOR A MULTIVARIABLE PROCESS KARTHICK S, LAKSHMI P, DEEPA T 3 PG Student, DEEE, College of Engineering, Guindy, Anna University, Cennai Associate Professor, DEEE, College

More information

UNIVERSITY OF SASKATCHEWAN Department of Physics and Engineering Physics

UNIVERSITY OF SASKATCHEWAN Department of Physics and Engineering Physics UNIVERSITY O SASKATCHEWAN Department of Pysics and Engineering Pysics Pysics 117.3 MIDTERM EXAM Regular Sitting NAME: (Last) Please Print (Given) Time: 90 minutes STUDENT NO.: LECTURE SECTION (please ceck):

More information

CFD calculation of convective heat transfer coefficients and validation Part I: Laminar flow Neale, A.; Derome, D.; Blocken, B.; Carmeliet, J.E.

CFD calculation of convective heat transfer coefficients and validation Part I: Laminar flow Neale, A.; Derome, D.; Blocken, B.; Carmeliet, J.E. CFD calculation of convective eat transfer coefficients and validation Part I: Laminar flow Neale, A.; Derome, D.; Blocken, B.; Carmeliet, J.E. Publised in: IEA Annex 41 working meeting, Kyoto, Japan Publised:

More information

Heat Transfer Enhancement with Different Square Jagged Twisted Tapes and CuO Nano fluid

Heat Transfer Enhancement with Different Square Jagged Twisted Tapes and CuO Nano fluid Heat Transfer Enhancement with Different Square Jagged Twisted Tapes and CuO Nano fluid 1 Krishna S. Borate, 2 A.V. Gawandare, 3 P.M. Khanwalkar 1,2,3 Department of Mechanical Engineering, Sinhgad College

More information

1 Power is transferred through a machine as shown. power input P I machine. power output P O. power loss P L. What is the efficiency of the machine?

1 Power is transferred through a machine as shown. power input P I machine. power output P O. power loss P L. What is the efficiency of the machine? 1 1 Power is transferred troug a macine as sown. power input P I macine power output P O power loss P L Wat is te efficiency of te macine? P I P L P P P O + P L I O P L P O P I 2 ir in a bicycle pump is

More information

Krazy Katt, the mechanical cat

Krazy Katt, the mechanical cat Krazy Katt, te mecanical cat Te cat rigting relex is a cat's innate ability to orient itsel as it alls in order to land on its eet. Te rigting relex begins to appear at 3 4 weeks o age, and is perected

More information

Consider a function f we ll specify which assumptions we need to make about it in a minute. Let us reformulate the integral. 1 f(x) dx.

Consider a function f we ll specify which assumptions we need to make about it in a minute. Let us reformulate the integral. 1 f(x) dx. Capter 2 Integrals as sums and derivatives as differences We now switc to te simplest metods for integrating or differentiating a function from its function samples. A careful study of Taylor expansions

More information

Investigating Euler s Method and Differential Equations to Approximate π. Lindsay Crowl August 2, 2001

Investigating Euler s Method and Differential Equations to Approximate π. Lindsay Crowl August 2, 2001 Investigating Euler s Metod and Differential Equations to Approximate π Lindsa Crowl August 2, 2001 Tis researc paper focuses on finding a more efficient and accurate wa to approximate π. Suppose tat x

More information

Level-set based Topology Optimisation of Convectively Cooled Heatsinks

Level-set based Topology Optimisation of Convectively Cooled Heatsinks Level-set based Topology Optimisation of Convectively Cooled Heatsinks M. Santanakrisnan* 1, T. Tilford 1, C. Bailey 1 1.Department of Matematical Sciences, Te University of Greenwic, London, UK *m.santanakrisnan@greenwic.ac.uk

More information

Problem Solving. Problem Solving Process

Problem Solving. Problem Solving Process Problem Solving One of te primary tasks for engineers is often solving problems. It is wat tey are, or sould be, good at. Solving engineering problems requires more tan just learning new terms, ideas and

More information

Velocity distribution in non-uniform/unsteady flows and the validity of log law

Velocity distribution in non-uniform/unsteady flows and the validity of log law University of Wollongong Researc Online Faculty of Engineering and Information Sciences - Papers: Part A Faculty of Engineering and Information Sciences 3 Velocity distribution in non-uniform/unsteady

More information

Department of Mechanical Engineering, VTU, Basveshwar Engineering college, Bagalkot, Karnataka, India

Department of Mechanical Engineering, VTU, Basveshwar Engineering college, Bagalkot, Karnataka, India International Journal of Current Engineering and Technology E-ISSN 2277 4106, P-ISSN 2347 5161 2016 INPRESSCO, All Rights Reserved Available at http://inpressco.com/category/ijcet Research Article Optimization

More information

Prediction of Oil-Water Two Phase Flow Pressure Drop by Using Homogeneous Model

Prediction of Oil-Water Two Phase Flow Pressure Drop by Using Homogeneous Model FUNDAMENTAL DAN APLIKASI TEKNIK KIMIA 008 Surabaya, 5 November 008 Prediction of Oil-Water Two Pase Flow Pressure Drop by Using Nay Zar Aung a, Triyogi Yuwono b a Department of Mecanical Engineering, Institute

More information

Quantum Theory of the Atomic Nucleus

Quantum Theory of the Atomic Nucleus G. Gamow, ZP, 51, 204 1928 Quantum Teory of te tomic Nucleus G. Gamow (Received 1928) It as often been suggested tat non Coulomb attractive forces play a very important role inside atomic nuclei. We can

More information

J. Electrical Systems 12-3 (2016): Regular paper. Parametric analysis of temperature gradient across thermoelectric power generators

J. Electrical Systems 12-3 (2016): Regular paper. Parametric analysis of temperature gradient across thermoelectric power generators Kaled Caine, *, Moamad Ramadan, Zaer Meri, Hadi Jaber, Mamoud Kaled, 3 J. Electrical Systems -3 (6): 63-63 Regular paper Parametric analysis of temperature gradient across termoelectric power generators

More information

Lecture 10: Carnot theorem

Lecture 10: Carnot theorem ecture 0: Carnot teorem Feb 7, 005 Equivalence of Kelvin and Clausius formulations ast time we learned tat te Second aw can be formulated in two ways. e Kelvin formulation: No process is possible wose

More information

Higher Derivatives. Differentiable Functions

Higher Derivatives. Differentiable Functions Calculus 1 Lia Vas Higer Derivatives. Differentiable Functions Te second derivative. Te derivative itself can be considered as a function. Te instantaneous rate of cange of tis function is te second derivative.

More information

Fluids and Buoyancy. 1. What will happen to the scale reading as the mass is lowered?

Fluids and Buoyancy. 1. What will happen to the scale reading as the mass is lowered? Fluids and Buoyancy. Wat will appen to te scale reading as te mass is lowered? M Using rcimedes Principle: any body fully or partially submerged in a fluid is buoyed up by a force equal to te weigt of

More information

Part C : Quantum Physics

Part C : Quantum Physics Part C : Quantum Pysics 1 Particle-wave duality 1.1 Te Bor model for te atom We begin our discussion of quantum pysics by discussing an early idea for atomic structure, te Bor model. Wile tis relies on

More information

Numerical Differentiation

Numerical Differentiation Numerical Differentiation Finite Difference Formulas for te first derivative (Using Taylor Expansion tecnique) (section 8.3.) Suppose tat f() = g() is a function of te variable, and tat as 0 te function

More information

Given: Hot fluid oil, Cold fluid - water (T 1, T 2 ) (t 1, t 2 ) Water

Given: Hot fluid oil, Cold fluid - water (T 1, T 2 ) (t 1, t 2 ) Water . In a counter flow double pipe eat excanger, oil is cooled fro 85 to 55 by water entering at 5. Te ass flow rate of oil is 9,800 kg/ and specific eat f oil is 000 J/kg K. Te ass flow rate of water is

More information

DYNAMIC MODELING OF ORGANIC RANKINE CYCLE (ORC) SYSTEM FOR FAULT DIAGNOSIS AND CONTROL SYSTEM DESIGN

DYNAMIC MODELING OF ORGANIC RANKINE CYCLE (ORC) SYSTEM FOR FAULT DIAGNOSIS AND CONTROL SYSTEM DESIGN DYNAMIC MODELING OF ORGANIC RANKINE CYCLE (ORC SYSTEM FOR FAULT DIAGNOSIS AND CONTROL SYSTEM DESIGN Sungjin Coi and Susan Krumdieck University of Canterbury, Private Bag 48, Cristcurc 84 New Zealand sungjin.coi@pg.canterbury.ac.nz

More information

Comparison of Heat Transfer Conditions in. Tube Bundle Cross-Flow for Different Tube Shapes

Comparison of Heat Transfer Conditions in. Tube Bundle Cross-Flow for Different Tube Shapes Comparison of Heat Transfer Conditions in Tube Bundle Cross-Flow for Different Tube Sapes Dr. Andrej Horvat, researc associate* Jožef Stefan Institute, actor Engineering Division Jamova 39, SI 1001, Ljubljana,

More information

The development of contact and noncontact technique to study the heat dissipation in metals under loading

The development of contact and noncontact technique to study the heat dissipation in metals under loading Te development of contact and noncontact tecnique to study te eat dissipation in metals under loading More info about tis article: ttp://www.ndt.net/?id=73 Abstract * ICMM UB RAS, Ac. Koroleva Str., 63

More information

DEVELOPMENT AND PERFORMANCE EVALUATION OF THERMAL CONDUCTIVITY EQUIPMENT FOR LABORATORY USES

DEVELOPMENT AND PERFORMANCE EVALUATION OF THERMAL CONDUCTIVITY EQUIPMENT FOR LABORATORY USES . Sunday Albert LAWAL,. Benjamin Iyenagbe UGHEOKE DEVELOPMENT AND PERFORMANCE EVALUATION OF THERMAL CONDUCTIVITY EQUIPMENT FOR LABORATORY USES. DEPARTMENT OF MECHANICAL ENGINEERING, FEDERAL UNIVERSITY

More information

A = h w (1) Error Analysis Physics 141

A = h w (1) Error Analysis Physics 141 Introduction In all brances of pysical science and engineering one deals constantly wit numbers wic results more or less directly from experimental observations. Experimental observations always ave inaccuracies.

More information

Evaluation and Accurate Estimation from Petrophysical Parameters of a Reservoir

Evaluation and Accurate Estimation from Petrophysical Parameters of a Reservoir American Journal of Environmental Engineering and Science 2016; 3(2): 68-74 ttp://www.aascit.org/journal/ajees ISSN: 2381-1153 (Print); ISSN: 2381-1161 (Online) Evaluation and Accurate Estimation from

More information

Pre-lab Quiz/PHYS 224 Earth s Magnetic Field. Your name Lab section

Pre-lab Quiz/PHYS 224 Earth s Magnetic Field. Your name Lab section Pre-lab Quiz/PHYS 4 Eart s Magnetic Field Your name Lab section 1. Wat do you investigate in tis lab?. For a pair of Helmoltz coils described in tis manual and sown in Figure, r=.15 m, N=13, I =.4 A, wat

More information

Large eddy simulation of turbulent flow downstream of a backward-facing step

Large eddy simulation of turbulent flow downstream of a backward-facing step Available online at www.sciencedirect.com Procedia Engineering 31 (01) 16 International Conference on Advances in Computational Modeling and Simulation Large eddy simulation of turbulent flow downstream

More information

Grade: 11 International Physics Olympiad Qualifier Set: 2

Grade: 11 International Physics Olympiad Qualifier Set: 2 Grade: 11 International Pysics Olympiad Qualifier Set: 2 --------------------------------------------------------------------------------------------------------------- Max Marks: 60 Test ID: 12111 Time

More information

Section 15.6 Directional Derivatives and the Gradient Vector

Section 15.6 Directional Derivatives and the Gradient Vector Section 15.6 Directional Derivatives and te Gradient Vector Finding rates of cange in different directions Recall tat wen we first started considering derivatives of functions of more tan one variable,

More information

HOW TO DEAL WITH FFT SAMPLING INFLUENCES ON ADEV CALCULATIONS

HOW TO DEAL WITH FFT SAMPLING INFLUENCES ON ADEV CALCULATIONS HOW TO DEAL WITH FFT SAMPLING INFLUENCES ON ADEV CALCULATIONS Po-Ceng Cang National Standard Time & Frequency Lab., TL, Taiwan 1, Lane 551, Min-Tsu Road, Sec. 5, Yang-Mei, Taoyuan, Taiwan 36 Tel: 886 3

More information

Performance Prediction of Commercial Thermoelectric Cooler. Modules using the Effective Material Properties

Performance Prediction of Commercial Thermoelectric Cooler. Modules using the Effective Material Properties Performance Prediction of Commercial ermoelectric Cooler Modules using te Effective Material Properties HoSung Lee, Alaa M. Attar, Sean L. Weera Mecanical and Aerospace Engineering, Western Micigan University,

More information

Distribution of reynolds shear stress in steady and unsteady flows

Distribution of reynolds shear stress in steady and unsteady flows University of Wollongong Researc Online Faculty of Engineering and Information Sciences - Papers: Part A Faculty of Engineering and Information Sciences 13 Distribution of reynolds sear stress in steady

More information

Chapter 3 NATURAL CONVECTION

Chapter 3 NATURAL CONVECTION Fundamentals of Thermal-Fluid Sciences, 3rd Edition Yunus A. Cengel, Robert H. Turner, John M. Cimbala McGraw-Hill, 2008 Chapter 3 NATURAL CONVECTION Mehmet Kanoglu Copyright The McGraw-Hill Companies,

More information

Work and Energy. Introduction. Work. PHY energy - J. Hedberg

Work and Energy. Introduction. Work. PHY energy - J. Hedberg Work and Energy PHY 207 - energy - J. Hedberg - 2017 1. Introduction 2. Work 3. Kinetic Energy 4. Potential Energy 5. Conservation of Mecanical Energy 6. Ex: Te Loop te Loop 7. Conservative and Non-conservative

More information

Dynamic analysis of pedestrian bridges with FEM and CFD

Dynamic analysis of pedestrian bridges with FEM and CFD Dynamic analysis of pedestrian bridges wit FEM and CFD Krzysztof Zoltowski Piotr Zoltowski Gdansk University of Tecnology KBP Zoltowski (Consulting Engineers), Gdansk Summary Te paper describes a numerical

More information

THERMO-HYDRODYNAMICS OF DEVELOPING FLOW IN A RECTANGULAR MINI-CHANNEL ARRAY

THERMO-HYDRODYNAMICS OF DEVELOPING FLOW IN A RECTANGULAR MINI-CHANNEL ARRAY THERMO-HYDRODYNAMICS OF DEVELOPING FLOW IN A RECTANGULAR MINI-CHANNEL ARRAY Gaurav Agarwal Dept. of Mecanical Engineering Indian Institute of Tecnology Kanpur Kanpur (UP) 0016, India gaurag.agarwal@gmail.com

More information

Static Response Analysis of a FGM Timoshenko s Beam Subjected to Uniformly Distributed Loading Condition

Static Response Analysis of a FGM Timoshenko s Beam Subjected to Uniformly Distributed Loading Condition Static Response Analysis of a FGM Timoseno s Beam Subjected to Uniformly Distributed Loading Condition 8 Aas Roy Department of Mecanical Engineering National Institute of Tecnology Durgapur Durgapur, Maatma

More information

Numerical Simulations of the Physical Process for Hailstone Growth

Numerical Simulations of the Physical Process for Hailstone Growth NO.1 FANG Wen, ZHENG Guoguang and HU Zijin 93 Numerical Simulations of te Pysical Process for Hailstone Growt FANG Wen 1,3 ( ), ZHENG Guoguang 2 ( ), and HU Zijin 3 ( ) 1 Nanjing University of Information

More information

Heat Transfer Analysis of Helical Strip Insert with Regularly Spaced Cut Sections Placed Inside a Circular Pipe

Heat Transfer Analysis of Helical Strip Insert with Regularly Spaced Cut Sections Placed Inside a Circular Pipe Vol. 2, Issue. 5, Sep.-Oct. 2012 pp-3711-3716 ISSN: 2249-6645 Heat Transfer Analysis of Helical Strip Insert with Regularly Spaced Cut Sections Placed Inside a Circular Pipe Prof. Naresh B. Dhamane 1,

More information

Modeling spray flame under MILD condition with FGM and a new conditional droplet injection model Likun Ma *, Dirk Roekaerts

Modeling spray flame under MILD condition with FGM and a new conditional droplet injection model Likun Ma *, Dirk Roekaerts Modeling spray flame under MILD condition wit FGM and a new conditional droplet injection model Likun Ma *, Dirk Roekaerts Department of Process and Energy, Delft University of Tecnology, Te Neterlands

More information

Numerical Investigation of Heat Transfer Enhancement and Pressure Drop of a Double Tube Heat Exchanger with Rectangular Fins in the Annulus Side

Numerical Investigation of Heat Transfer Enhancement and Pressure Drop of a Double Tube Heat Exchanger with Rectangular Fins in the Annulus Side International Journal of Dynamics of Fluids. ISSN 0973-1784 Volume 13, Number 2 (2017), pp. 295-308 Research India Publications http://www.ripublication.com Numerical Investigation of Heat Transfer Enhancement

More information

ADCP MEASUREMENTS OF VERTICAL FLOW STRUCTURE AND COEFFICIENTS OF FLOAT IN FLOOD FLOWS

ADCP MEASUREMENTS OF VERTICAL FLOW STRUCTURE AND COEFFICIENTS OF FLOAT IN FLOOD FLOWS ADCP MEASUREMENTS OF VERTICAL FLOW STRUCTURE AND COEFFICIENTS OF FLOAT IN FLOOD FLOWS Yasuo NIHEI (1) and Takeiro SAKAI (2) (1) Department of Civil Engineering, Tokyo University of Science, 2641 Yamazaki,

More information

Keywords: Spiral plate heat exchanger, Heat transfer, Nusselt number

Keywords: Spiral plate heat exchanger, Heat transfer, Nusselt number EXPERIMENTAL AND NUMERICAL STUDIES OF A SPIRAL PLATE HEAT EXCHANGER Dr.RAJAVEL RANGASAMY Professor and Head, Department of Mechanical Engineering Velammal Engineering College,Chennai -66,India Email:rajavelmech@gmail.com

More information

Comparative Analysis of Heat Transfer and Friction Characteristics in a Corrugated Tube

Comparative Analysis of Heat Transfer and Friction Characteristics in a Corrugated Tube International Journal of Current Engineering and Technology E-ISSN 2277 416, P-ISSN 2347 5161 216 INPRESSCO, All Rights Reserved Available at http://inpressco.com/category/ijcet Research Article Comparative

More information

Concept Description and Thermalhydraulics of Liquid Surface FW/Blankets for High Power Density Reactors

Concept Description and Thermalhydraulics of Liquid Surface FW/Blankets for High Power Density Reactors Concept Description and Termalydraulics of Liquid Surface FW/Blankets for Hig Power Density Reactors A. Ying, N. Morley, K. Gulec, B. Nelson (1), M. Youssef, and M. Abdou Mecanical and Aerospace Engineering

More information

Unsteady State Simulation of Vapor Compression Heat Pump Systems With Modular Analysis (This paper will not be presented.)

Unsteady State Simulation of Vapor Compression Heat Pump Systems With Modular Analysis (This paper will not be presented.) Purdue University Purdue e-pubs nternational Refrigeration and ir Conditioning Conference Scool of Mecanical Engineering 0 Unsteady State Simulation of Vapor Compression Heat Pump Systems Wit Modular nalysis

More information

radiation damage 318 doi: /s J. Synchrotron Rad. (2005). 12, Introduction

radiation damage 318 doi: /s J. Synchrotron Rad. (2005). 12, Introduction Journal of Syncrotron Radiation ISSN 0909-0495 Received 3 Marc 2004 Accepted 5 January 2005 Tree-dimensional numerical analysis of convection and conduction cooling of sperical biocrystals wit localized

More information

CFD calculation of convective heat transfer coefficients and validation Part I: Laminar flow. Annex 41 Kyoto, April 3 rd to 5 th, 2006

CFD calculation of convective heat transfer coefficients and validation Part I: Laminar flow. Annex 41 Kyoto, April 3 rd to 5 th, 2006 CFD calculation of convective eat transfer coefficients and validation Part I: Laminar flow Annex 41 Kyoto, April 3 rd to 5 t, 2006 Adam Neale 1, Dominique Derome 1, Bert Blocken 2 and Jan Carmeliet 2,3

More information

EXPERIMENTAL AND NUMERICAL STUDIES OF A SPIRAL PLATE HEAT EXCHANGER

EXPERIMENTAL AND NUMERICAL STUDIES OF A SPIRAL PLATE HEAT EXCHANGER THERMAL SCIENCE: Year 2014, Vol. 18, No. 4, pp. 1355-1360 1355 EXPERIMENTAL AND NUMERICAL STUDIES OF A SPIRAL PLATE HEAT EXCHANGER by Rangasamy RAJAVEL Department of Mechanical Engineering, AMET University,

More information

Notes: Most of the material in this chapter is taken from Young and Freedman, Chap. 12.

Notes: Most of the material in this chapter is taken from Young and Freedman, Chap. 12. Capter 6. Fluid Mecanics Notes: Most of te material in tis capter is taken from Young and Freedman, Cap. 12. 6.1 Fluid Statics Fluids, i.e., substances tat can flow, are te subjects of tis capter. But

More information

Reflection of electromagnetic waves from magnetic having the ferromagnetic spiral

Reflection of electromagnetic waves from magnetic having the ferromagnetic spiral Reflection of electromagnetic waves from magnetic aving te ferromagnetic spiral Igor V. Bycov 1a Dmitry A. Kuzmin 1b and Vladimir G. Savrov 3 1 Celyabins State University 51 Celyabins Br. Kasiriny Street

More information

Heat transfer characteristics and friction of turbulent swirling air flow through abrupt expansion

Heat transfer characteristics and friction of turbulent swirling air flow through abrupt expansion AMERICAN JOURNAL OF SCIENTIFIC AND INDUSTRIAL RESEARCH 2010, Science Huβ, http://www.scihub.org/ajsir ISSN: 2153-649X doi:10.5251/ajsir.2010.1.2.364.374 Heat transfer characteristics and friction of turbulent

More information

Part 2: Introduction to Open-Channel Flow SPRING 2005

Part 2: Introduction to Open-Channel Flow SPRING 2005 Part : Introduction to Open-Cannel Flow SPRING 005. Te Froude number. Total ead and specific energy 3. Hydraulic jump. Te Froude Number Te main caracteristics of flows in open cannels are tat: tere is

More information

The Laplace equation, cylindrically or spherically symmetric case

The Laplace equation, cylindrically or spherically symmetric case Numerisce Metoden II, 7 4, und Übungen, 7 5 Course Notes, Summer Term 7 Some material and exercises Te Laplace equation, cylindrically or sperically symmetric case Electric and gravitational potential,

More information

CHAPTER 2 MODELING OF THREE-TANK SYSTEM

CHAPTER 2 MODELING OF THREE-TANK SYSTEM 7 CHAPTER MODELING OF THREE-TANK SYSTEM. INTRODUCTION Te interacting tree-tank system is a typical example of a nonlinear MIMO system. Heiming and Lunze (999) ave regarded treetank system as a bencmark

More information

Optimal Shape Design of a Two-dimensional Asymmetric Diffsuer in Turbulent Flow

Optimal Shape Design of a Two-dimensional Asymmetric Diffsuer in Turbulent Flow THE 5 TH ASIAN COMPUTAITIONAL FLUID DYNAMICS BUSAN, KOREA, OCTOBER 7 ~ OCTOBER 30, 003 Optimal Sape Design of a Two-dimensional Asymmetric Diffsuer in Turbulent Flow Seokyun Lim and Haeceon Coi. Center

More information

Taylor Series and the Mean Value Theorem of Derivatives

Taylor Series and the Mean Value Theorem of Derivatives 1 - Taylor Series and te Mean Value Teorem o Derivatives Te numerical solution o engineering and scientiic problems described by matematical models oten requires solving dierential equations. Dierential

More information

Pumping Heat with Quantum Ratchets

Pumping Heat with Quantum Ratchets Pumping Heat wit Quantum Ratcets T. E. Humprey a H. Linke ab R. Newbury a a Scool of Pysics University of New Sout Wales UNSW Sydney 5 Australia b Pysics Department University of Oregon Eugene OR 9743-74

More information

Dedicated to the 70th birthday of Professor Lin Qun

Dedicated to the 70th birthday of Professor Lin Qun Journal of Computational Matematics, Vol.4, No.3, 6, 4 44. ACCELERATION METHODS OF NONLINEAR ITERATION FOR NONLINEAR PARABOLIC EQUATIONS Guang-wei Yuan Xu-deng Hang Laboratory of Computational Pysics,

More information

3. Using your answers to the two previous questions, evaluate the Mratio

3. Using your answers to the two previous questions, evaluate the Mratio MASSACHUSETTS INSTITUTE OF TECHNOLOGY DEPARTMENT OF MECHANICAL ENGINEERING CAMBRIDGE, MASSACHUSETTS 0219 2.002 MECHANICS AND MATERIALS II HOMEWORK NO. 4 Distributed: Friday, April 2, 2004 Due: Friday,

More information

AN ANALYSIS OF AMPLITUDE AND PERIOD OF ALTERNATING ICE LOADS ON CONICAL STRUCTURES

AN ANALYSIS OF AMPLITUDE AND PERIOD OF ALTERNATING ICE LOADS ON CONICAL STRUCTURES Ice in te Environment: Proceedings of te 1t IAHR International Symposium on Ice Dunedin, New Zealand, nd t December International Association of Hydraulic Engineering and Researc AN ANALYSIS OF AMPLITUDE

More information

The total error in numerical differentiation

The total error in numerical differentiation AMS 147 Computational Metods and Applications Lecture 08 Copyrigt by Hongyun Wang, UCSC Recap: Loss of accuracy due to numerical cancellation A B 3, 3 ~10 16 In calculating te difference between A and

More information

COMPUTATIONAL FLUID DYNAMICS ANALYSIS ON HEAT TRANSFER AND FRICTION FACTOR CHARACTERISTICS OF A TURBULENT FLOW FOR INTERNALLY GROOVED TUBES

COMPUTATIONAL FLUID DYNAMICS ANALYSIS ON HEAT TRANSFER AND FRICTION FACTOR CHARACTERISTICS OF A TURBULENT FLOW FOR INTERNALLY GROOVED TUBES THERMAL SCIENCE: Year 2013, Vol. 17, No. 4, pp. 1125-1137 1125 COMPUTATIONAL FLUID DYNAMICS ANALYSIS ON HEAT TRANSFER AND FRICTION FACTOR CHARACTERISTICS OF A TURBULENT FLOW FOR INTERNALLY GROOVED TUBES

More information