COMPARISON OF METHODS FOR SOLVING THE HEAT TRANSFER IN ELECTRICAL MACHINES
|
|
- Mervyn Bishop
- 5 years ago
- Views:
Transcription
1 POZNAN UNIVE RSITY OF TE CHNOLOGY ACADE MIC JOURNALS No 75 Electical Engineeing 2013 Zbynek MAKKI* Macel JANDA* Ramia DEEB* COMPARISON OF METHODS FOR SOLVING THE HEAT TRANSFER IN ELECTRICAL MACHINES This pape descibes the use of moden computational methods fo the veification of mathematical equations, to detemine the total heat flow tansmitted acoss a cetain suface. ANSYS WORKBENCH is choosen as the computational softwae fo this pupose. Calculations ae pesented fo fou models. Thee is a suface, which the total heat flow is tansmitted though is consideed as: a simple flat plate, compising with othe flat plate, and thinwalled and thickwalled tube. Fo each case, the total heat flow is calculated using numeical methods and moden compute methods (ANSYS WORBENCH). Pefomed esults of numeical methods ae compaed with the esults of ANSYS softwae. The numeical methods ae consideed as a efeent. The eo of ANSYS calculations in compaison with the the numeical is calculated. The heat tansfe by conduction is descibed fo all pesented models. Finally, the esults of tempeatue distibution and heat flux distibution fo each simulated case ae pesented Simple flat plate 1. INTRODUCTION Fo the numeical we have to use Fouie s laws. Fouie's law is an empiical law based on obsevation. It states that the ate of heat flow dq/dt, though a homogeneous solid is diectly popotional to the aea A, of the section at ight angles to the diection of heat flow, and to the tempeatue diffeence along the path of heat flow, dt/dx i.e. [1]. Fo simple flat plate applies equation = λ ( T T )A (1) Q S 1 2 x whee Qs is numeical total heat flow tansmitted acoss a cetain suface [J], λ is themal conductivity [W/m.K], x is wall thickness [m], T 1 is tempeatue of hot wall [K], T 2 is tempeatue of cold wall [K] and A is heat flow aea [m 2 ] [3]. * Bno Univesity of Technology.
2 26 Zbynek Makki, Macel Janda, Ramia Deeb Fig. 1. Case of simply flat plate [2] 1.2. Flat plate compising with othe flat plate In this case we combined two mateials (steel and cupum) with diffeent thickness. Fig. 2. Case of flat plate compising with othe flat plate [2] Fo this case applies equation Q S ( T1 T3) A = (2) x1 x2 λ + λ Thinwalled and thickwalled tube In this case is impotant atio between the adius 1 and adius 2. When is this atio lowe than 1.5 ( 1 / 2 <1.5) is it thinwalled tube and applies this equation [3]
3 Compaison of methods fo solving the heat tansfe in electical machines Q S = π λ. L( T1 T2) (3) 2 1 whee L is length of tube [m]. When is this atio uppe than 1.5 ( 1 / 2 > 1.5) is it thickwalled tube and applies this equation [3] 2π. λ. L Q S = ( T1 T2) (4) 2 ln 1 Fig. 3. Case of thinwalled and thickwalled tube [2] 2. CALCULATION PARAMETERS Each calculation of the numeical and compute have set hot wall on value K and cold wall on value K. Used mateial in case of Simple flat plate, thinwalled and thickwalled tube is steel with themal conduction 60.5 W/m.K and in case of flat plate compising with othe flat plate is steel as fist mateial with the same paametes as fist case and cupum as second mateial with themal conduction 400 W/m.K. Thinwalled and thickwalled tube is solved as decomposed simple flat plate. Simple flat plate, flat plate compising with othe flat plate, thinwalled and thickwalled tube of esults is divided into thee pats. Fist (a) is change thickness steel plate in case of simple flat plate and flat plate compise with othe flat plate fom 0.1 to 1 m. In case of thinwalled tube we change thickness fom 0.05 to 0.3. And in case of thickwalled tube fom 0.75 to 1.9 m. Second pat (b) is change tempeatue T1 fom to K fo each model. And thid pat (c) is change tempeatue T2 fom to K fo each model.
4 28 Zbynek Makki, Macel Janda, Ramia Deeb 3. RESULTS 3.1. Simple flat plate Table 3.1. Simple flat plate, (a) change thickness steel plate, (b) change tempeatue T 1 and (c) change tempeatue T 2 Eo Eo Eo , ,00 0, , ,00 0, , ,00 0, , ,00 0, , ,00 0, , ,00 0, , ,00 0, , ,00 0, , ,00 0, , ,15 0, , ,00 0, , ,00 0, , ,00 0, , ,00 0, , ,00 0, , ,39 0, , ,00 0,00 Fig. 4. Change thickness steel plate fo simply flat plate
5 Compaison of methods fo solving the heat tansfe in electical machines 29 Fig. 5. Change tempeatue T 1 and T 2 fo simply flat plate 3.2. Flat plate compising with othe flat plate Table 3.2. Flat plate compising with othe flat plate, (a) change thickness steel plate, (b) change tempeatue T 1 and (c) change tempeatue T 2 Eo Eo Eo , ,1 6 0, , ,60 0, , ,60 0, , ,06 0, , ,49 0, , ,49 0, , ,34 0, , ,39 0, , ,39 0, , ,75 0, , ,29 0, , ,29 0, , ,07 0, , ,19 0, , ,19 0, , ,33 0, , ,48 0,01
6 30 Zbynek Makki, Macel Janda, Ramia Deeb 3.3. Thinwalled tube Table 3.3. Thinwalled tube, (a) change thickness steel plate, (b) change tempeatue T 1 and (c) change tempeatue T 2 Eo Numeica l Eo Numeica l , ,41 1, , , , , , , , , , ,47 1, , , , , , , , , , , , ,87 0, , , , , , ,54 0, , , , , Thickwalled tube Table 3.4. Thickwalled tube, (a) change thickness steel plate, (b) change tempeatue T 1 and (c) change tempeatue T 2 Eo 1,11 Eo Eo Eo 19024, ,90 1, , ,86 2, , ,86 2, , ,03 1, , ,67 2, , ,67 2, , ,48 2, , ,48 2, , ,48 2, , ,18 3, , ,28 2, , ,28 2, , ,72 1, , ,09 2, , ,09 2, , , ,02
7 Compaison of methods fo solving the heat tansfe in electical machines CONCLUSION When changing thickness of the mateial in case is obtained simple flat plate diffeence between the values calculated using the numeical method and ANSYS Wokbench 0% (in fact, this diffeence is about 1x106%). In the second case fo flat plate compising with othe flat plate is obtained the diffeence between the values calculated using the numeical method and ANSYS Wokbench maximum 0.05%. In this case we can see the effect of two mateials with diffeent themal conductivities. In the thid case fo thinwalled tube is the diffeence maximum 1.32%. And in the last case fo Thickwalled tube maximum eo was 3.34%. All esults show that with inceasing thickness of the mateial deceases nonlinealy heat flow. When changing tempeatue T 1 o T 2 we can see linea change in heat flow with tempeatue. All eos between the numeical and the compute came out small, so we can say that ANSYS Wokbench is a suitable to these poblems. ACKNOWLEDGEMENTS Reseach descibed in this pape was financed by the Gant agency CR No. GACR: 102/09/18775 and Ministy of industy and tade of the Czech Republic unde pojects No. FRTI1/067 and FRTI3/073. The wok was suppoted by Cente fo Reseach and utilization of enewable enegy CZ.1.05/2.1.00/ REFERENCES [1] Fouie's Law of Conduction. In: Fouie's Law of Conduction [online] [cit ]. Dostupné z: [2] Sdílení tepla a poudění. Ostava: Ediční středisko VŠBTU, ISBN [3] Přenos tepla a látky. Bno: Akademické nakladatelství CERM, ISBN [4] ASHGRIZ, N. Handbook of Atomization and Spays: Theoy and Applications. Canada: Spinge. ISBN [5] BURGESS, William, Michael ELLENBECKER a Robet TREITMAN. VENTILATION FOR CONTROL OF THE WORK ENVIRONMENT. ISBN X. [6] KREITH, Fank. The CRC Handbook of Themal Engineeing. CRC Pess LLC, ISBN X.
ELASTIC ANALYSIS OF CIRCULAR SANDWICH PLATES WITH FGM FACE-SHEETS
THE 9 TH INTERNATIONAL CONFERENCE ON COMPOSITE MATERIALS ELASTIC ANALYSIS OF CIRCULAR SANDWICH PLATES WITH FGM FACE-SHEETS R. Sbulati *, S. R. Atashipou Depatment of Civil, Chemical and Envionmental Engineeing,
More informationSTUDY ON 2-D SHOCK WAVE PRESSURE MODEL IN MICRO SCALE LASER SHOCK PEENING
Study Rev. Adv. on -D Mate. shock Sci. wave 33 (13) pessue 111-118 model in mico scale lase shock peening 111 STUDY ON -D SHOCK WAVE PRESSURE MODEL IN MICRO SCALE LASER SHOCK PEENING Y.J. Fan 1, J.Z. Zhou,
More informationIn the previous section we considered problems where the
5.4 Hydodynamically Fully Developed and Themally Developing Lamina Flow In the pevious section we consideed poblems whee the velocity and tempeatue pofile wee fully developed, so that the heat tansfe coefficient
More informationResearch Article EXPERIMENTAL STUDY OF HEAT TRANSFER CHARACTERISTICS OF STAINLESS STEEL FIBROUS FLOW INSULATOR
Tansactions of the TSME (16) Vol. 4, No. 2, 148 155 Jounal of seach and Applications in Mechanical Engineeing Copyight 16 by TSME ISSN 2229-2152 pint DOI: 1.14456/jame.16.15 seach Aticle EXPERIMENTAL STUDY
More informationPhysics 2212 GH Quiz #2 Solutions Spring 2016
Physics 2212 GH Quiz #2 Solutions Sping 216 I. 17 points) Thee point chages, each caying a chage Q = +6. nc, ae placed on an equilateal tiangle of side length = 3. mm. An additional point chage, caying
More informationGauss s Law Simulation Activities
Gauss s Law Simulation Activities Name: Backgound: The electic field aound a point chage is found by: = kq/ 2 If thee ae multiple chages, the net field at any point is the vecto sum of the fields. Fo a
More informationRecent Advances in Chemical Engineering, Biochemistry and Computational Chemistry
Themal Conductivity of Oganic Liquids: a New Equation DI NICOLA GIOVANNI*, CIARROCCHI ELEONORA, PIERANTOZZI ARIANO, STRYJEK ROAN 1 DIIS, Univesità Politecnica delle ache, 60131 Ancona, ITALY *coesponding
More informationField emission of Electrons from Negatively Charged Cylindrical Particles with Nonlinear Screening in a Dusty Plasma
Reseach & Reviews: Jounal of Pue and Applied Physics Field emission of Electons fom Negatively Chaged Cylindical Paticles with Nonlinea Sceening in a Dusty Plasma Gyan Pakash* Amity School of Engineeing
More informationDesigning a Sine-Coil for Measurement of Plasma Displacements in IR-T1 Tokamak
Designing a Sine-Coil fo Measuement of Plasma Displacements in IR-T Tokamak Pejman Khoshid, M. Razavi, M. Ghoanneviss, M. Molaii, A. TalebiTahe, R. Avin, S. Mohammadi and A. NikMohammadi Dept. of Physics,
More informationCOLD STRANGLING HOLLOW PARTS FORCES CALCULATION OF CONICAL AND CONICAL WITH CYLINDRICAL COLLAR
COLD STANGLING HOLLOW PATS OCES CALCULATION O CONICAL AND CONICAL WITH CYLINDICAL COLLA Lucian V. Sevein, Taian Lucian Sevein,, Stefan cel Mae Univesity of Suceava, aculty of Mechanical Engineeing, Mechatonics
More informationEFFECTS OF GFRP REINFORCING REBARS ON SHRINKAGE AND THERMAL STRESSES IN CONCRETE
EFFECTS OF GFRP REINFORCING REBARS ON SHRINKAGE AND THERMAL STRESSES IN CONCRETE Roge H. L. Chen 1 and Jeong-Hoon Choi 2 ABSTRACT The use of Glass Fibe Reinfoced Polyme (GFRP) ebas instead of conventional
More informationTitle. Author(s)Y. IMAI; T. TSUJII; S. MOROOKA; K. NOMURA. Issue Date Doc URL. Type. Note. File Information
Title CALCULATION FORULAS OF DESIGN BENDING OENTS ON TH APPLICATION OF THE SAFETY-ARGIN FRO RC STANDARD TO Autho(s)Y. IAI; T. TSUJII; S. OROOKA; K. NOURA Issue Date 013-09-1 Doc URL http://hdl.handle.net/115/538
More informationTHERMAL PROPERTIES OF FRACTAL STRUCTURE MATERIALS
HERMAL PROPERIES OF FRACAL SRUCURE MAERIALS Oldřich Zmeškal, Mioslav Buchníček, Matin Nežádal Pavla Štefková, Radek Capoušek Institute of Physical and Applied Chemisty, Faculty of Chemisty, Bno Univesity
More informationAnalysis of high speed machining center spindle dynamic unit structure performance Yuan guowei
Intenational Confeence on Intelligent Systems Reseach and Mechatonics Engineeing (ISRME 0) Analysis of high speed machining cente spindle dynamic unit stuctue pefomance Yuan guowei Liaoning jidian polytechnic,dan
More information1 Dark Cloud Hanging over Twentieth Century Physics
We ae Looking fo Moden Newton by Caol He, Bo He, and Jin He http://www.galaxyanatomy.com/ Wuhan FutueSpace Scientific Copoation Limited, Wuhan, Hubei 430074, China E-mail: mathnob@yahoo.com Abstact Newton
More informationTHE INFLUENCE OF TEMPERATURE S CHANGE ALONG THE RADIUS ON THE MEMBRANE STRESSES FIELD AT ROTATING DISKS
6 th Intenational Confeence Computational Mechanics and Vitual Engineeing COMEC 015 15-16 Octobe 015, Başov, Romania HE INFLUENCE OF EMPERAURE S CHANGE ALONG HE RADIUS ON HE MEMBRANE SRESSES FIELD A ROAING
More informationTHE INFLUENCE OF THE MAGNETIC NON-LINEARITY ON THE MAGNETOSTATIC SHIELDS DESIGN
THE INFLUENCE OF THE MAGNETIC NON-LINEARITY ON THE MAGNETOSTATIC SHIELDS DESIGN LIVIU NEAMŢ 1, ALINA NEAMŢ, MIRCEA HORGOŞ 1 Key wods: Magnetostatic shields, Magnetic non-lineaity, Finite element method.
More informationLECTURER: PM DR MAZLAN ABDUL WAHID PM Dr Mazlan Abdul Wahid
M 445 LU: M D MZL BDUL WID http://www.fkm.utm.my/~mazlan hapte teady-tate tate One Dimensional eat onduction M bdul Wahid UM aculty of Mechanical ngineeing Univesiti eknologi Malaysia www.fkm.utm.my/~mazlan
More informationB. Spherical Wave Propagation
11/8/007 Spheical Wave Popagation notes 1/1 B. Spheical Wave Popagation Evey antenna launches a spheical wave, thus its powe density educes as a function of 1, whee is the distance fom the antenna. We
More informationCoupled Electromagnetic and Heat Transfer Simulations for RF Applicator Design for Efficient Heating of Materials
Coupled Electomagnetic and Heat Tansfe Simulations fo RF Applicato Design fo Efficient Heating of Mateials Jeni Anto 1 and Raj C Thiagaajan 2 * 1 Reseache, Anna Univesity, Chennai, 2 ATOA Scientific Technologies
More informationAbsorption Rate into a Small Sphere for a Diffusing Particle Confined in a Large Sphere
Applied Mathematics, 06, 7, 709-70 Published Online Apil 06 in SciRes. http://www.scip.og/jounal/am http://dx.doi.og/0.46/am.06.77065 Absoption Rate into a Small Sphee fo a Diffusing Paticle Confined in
More informationPage 1 of 6 Physics II Exam 1 155 points Name Discussion day/time Pat I. Questions 110. 8 points each. Multiple choice: Fo full cedit, cicle only the coect answe. Fo half cedit, cicle the coect answe and
More informationTHERMODYNAMIC OPTIMIZATION OF TUBULAR HEAT EXCHANGERS BASED ON MINIMUM IRREVERSIBILITY CRITERIA
THERMODYNAMIC OPTIMIZATION OF TUBULAR HEAT EXCHANGER BAED ON MINIMUM IRREVERIBILITY CRITERIA As. dd. ing. Adina GHEORGHIAN, Pof. d. ing. Alexandu DOBROVICECU, As. dd. ing. Andeea MARIN,.l. d. ing. Claudia
More informationConservative Averaging Method and its Application for One Heat Conduction Problem
Poceedings of the 4th WSEAS Int. Conf. on HEAT TRANSFER THERMAL ENGINEERING and ENVIRONMENT Elounda Geece August - 6 (pp6-) Consevative Aveaging Method and its Application fo One Heat Conduction Poblem
More informationFlux. Area Vector. Flux of Electric Field. Gauss s Law
Gauss s Law Flux Flux in Physics is used to two distinct ways. The fist meaning is the ate of flow, such as the amount of wate flowing in a ive, i.e. volume pe unit aea pe unit time. O, fo light, it is
More informationComputational Methods of Solid Mechanics. Project report
Computational Methods of Solid Mechanics Poject epot Due on Dec. 6, 25 Pof. Allan F. Bowe Weilin Deng Simulation of adhesive contact with molecula potential Poject desciption In the poject, we will investigate
More informationLiquid gas interface under hydrostatic pressure
Advances in Fluid Mechanics IX 5 Liquid gas inteface unde hydostatic pessue A. Gajewski Bialystok Univesity of Technology, Faculty of Civil Engineeing and Envionmental Engineeing, Depatment of Heat Engineeing,
More informationSchool of Electrical and Computer Engineering, Cornell University. ECE 303: Electromagnetic Fields and Waves. Fall 2007
School of Electical and Compute Engineeing, Conell Univesity ECE 303: Electomagnetic Fields and Waves Fall 007 Homewok 8 Due on Oct. 19, 007 by 5:00 PM Reading Assignments: i) Review the lectue notes.
More informationCHAPTER 10 ELECTRIC POTENTIAL AND CAPACITANCE
CHAPTER 0 ELECTRIC POTENTIAL AND CAPACITANCE ELECTRIC POTENTIAL AND CAPACITANCE 7 0. ELECTRIC POTENTIAL ENERGY Conside a chaged paticle of chage in a egion of an electic field E. This filed exets an electic
More informationAnalysis and Optimization of a Special Type of Dielectric Loaded Resonant Cavity for Mobile Communication Filters
328 Analysis and Optimization of a Special Type of Dielectic Loaded Resonant Cavity fo Mobile Communication Filtes Haold S. Showes, Banmali S. Rawat *, Syam S. Challa Depatment of Electical and Biomedical
More information2 E. on each of these two surfaces. r r r r. Q E E ε. 2 2 Qencl encl right left 0
Ch : 4, 9,, 9,,, 4, 9,, 4, 8 4 (a) Fom the diagam in the textbook, we see that the flux outwad though the hemispheical suface is the same as the flux inwad though the cicula suface base of the hemisphee
More informationElectric Forces: Coulomb s Law
Electic Foces: Coulomb s Law All the matte aound you contains chaged paticles, and it is the electic foces between these chaged paticles that detemine the stength of the mateials and the popeties of the
More informationSwissmetro: design methods for ironless linear transformer
Swissmeto: design methods fo ionless linea tansfome Nicolas Macabey GESTE Engineeing SA Scientific Pak PSE-C, CH-05 Lausanne, Switzeland Tel (+4) 2 693 83 60, Fax. (+4) 2 693 83 6, nicolas.macabey@geste.ch
More informationPhysics 2A Chapter 10 - Moment of Inertia Fall 2018
Physics Chapte 0 - oment of netia Fall 08 The moment of inetia of a otating object is a measue of its otational inetia in the same way that the mass of an object is a measue of its inetia fo linea motion.
More informationGradient-based Neural Network for Online Solution of Lyapunov Matrix Equation with Li Activation Function
Intenational Confeence on Infomation echnology and Management Innovation (ICIMI 05) Gadient-based Neual Netwok fo Online Solution of Lyapunov Matix Equation with Li Activation unction Shiheng Wang, Shidong
More informationPhysics 122, Fall September 2012
Physics 1, Fall 1 7 Septembe 1 Today in Physics 1: getting V fom E When it s best to get V fom E, athe than vice vesa V within continuous chage distibutions Potential enegy of continuous chage distibutions
More informationIdentification of the degradation of railway ballast under a concrete sleeper
Identification of the degadation of ailway ballast unde a concete sleepe Qin Hu 1) and Heung Fai Lam ) 1), ) Depatment of Civil and Achitectual Engineeing, City Univesity of Hong Kong, Hong Kong SAR, China.
More informationReview: Electrostatics and Magnetostatics
Review: Electostatics and Magnetostatics In the static egime, electomagnetic quantities do not vay as a function of time. We have two main cases: ELECTROSTATICS The electic chages do not change postion
More informationCHAPTER 25 ELECTRIC POTENTIAL
CHPTE 5 ELECTIC POTENTIL Potential Diffeence and Electic Potential Conside a chaged paticle of chage in a egion of an electic field E. This filed exets an electic foce on the paticle given by F=E. When
More informationDuality between Statical and Kinematical Engineering Systems
Pape 00, Civil-Comp Ltd., Stiling, Scotland Poceedings of the Sixth Intenational Confeence on Computational Stuctues Technology, B.H.V. Topping and Z. Bittna (Editos), Civil-Comp Pess, Stiling, Scotland.
More informationMolecular dynamics simulation of ultrafast laser ablation of fused silica
IOP Publishing Jounal of Physics: Confeence Seies 59 (27) 1 14 doi:1.188/1742-6596/59/1/22 Eighth Intenational Confeence on Lase Ablation Molecula dynamics simulation of ultafast lase ablation of fused
More information1D2G - Numerical solution of the neutron diffusion equation
DG - Numeical solution of the neuton diffusion equation Y. Danon Daft: /6/09 Oveview A simple numeical solution of the neuton diffusion equation in one dimension and two enegy goups was implemented. Both
More informationHydroelastic Analysis of a 1900 TEU Container Ship Using Finite Element and Boundary Element Methods
TEAM 2007, Sept. 10-13, 2007,Yokohama, Japan Hydoelastic Analysis of a 1900 TEU Containe Ship Using Finite Element and Bounday Element Methods Ahmet Egin 1)*, Levent Kaydıhan 2) and Bahadı Uğulu 3) 1)
More informationAnalytic and Finite Element Solutions for Temperature Profiles in Welding using Varied Heat Source Models
Vol:5, No:9, 11 Analytic and Finite Element Solutions fo Tempeatue Pofiles in Welding using Vaied Heat Souce Models Djaot B Damadi, John Noish and Anh Kiet Tieu Digital Open Science ndex, Mechanical and
More informationMagneto-Elastic Analysis of an Annular FGM Plate Based on Classical Plate Theory Using GDQ Method
736 Magneto-Elastic Analysis of an Annula FGM Plate Based on Classical Plate Theoy Using GDQ Method Abstact Using GDQ method, the adial and cicumfeential stesses in an annula FGM plate with a unifom thickness
More informationThe Millikan Experiment: Determining the Elementary Charge
LAB EXERCISE 7.5.1 7.5 The Elementay Chage (p. 374) Can you think of a method that could be used to suggest that an elementay chage exists? Figue 1 Robet Millikan (1868 1953) m + q V b The Millikan Expeiment:
More informationSupplementary Figure 1. Circular parallel lamellae grain size as a function of annealing time at 250 C. Error bars represent the 2σ uncertainty in
Supplementay Figue 1. Cicula paallel lamellae gain size as a function of annealing time at 50 C. Eo bas epesent the σ uncetainty in the measued adii based on image pixilation and analysis uncetainty contibutions
More information11) A thin, uniform rod of mass M is supported by two vertical strings, as shown below.
Fall 2007 Qualifie Pat II 12 minute questions 11) A thin, unifom od of mass M is suppoted by two vetical stings, as shown below. Find the tension in the emaining sting immediately afte one of the stings
More informationA Double Exponential Function Fitting Algorithm for Optimize Parameter of µh Curve
Advanced Mateials Reseach Online: 214-6-18 ISSN: 1662-8985, Vols. 96-961, pp 1146-115 doi:1.428/www.scientific.net/amr.96-961.1146 214 Tans Tech Publications, Switzeland A Double Exponential Function Fitting
More informationBlack Body Radiation and Radiometric Parameters:
Black Body Radiation and Radiometic Paametes: All mateials absob and emit adiation to some extent. A blackbody is an idealization of how mateials emit and absob adiation. It can be used as a efeence fo
More informationGeometry of the homogeneous and isotropic spaces
Geomety of the homogeneous and isotopic spaces H. Sonoda Septembe 2000; last evised Octobe 2009 Abstact We summaize the aspects of the geomety of the homogeneous and isotopic spaces which ae most elevant
More informationEM-2. 1 Coulomb s law, electric field, potential field, superposition q. Electric field of a point charge (1)
EM- Coulomb s law, electic field, potential field, supeposition q ' Electic field of a point chage ( ') E( ) kq, whee k / 4 () ' Foce of q on a test chage e at position is ee( ) Electic potential O kq
More informationDetermining solar characteristics using planetary data
Detemining sola chaacteistics using planetay data Intoduction The Sun is a G-type main sequence sta at the cente of the Sola System aound which the planets, including ou Eath, obit. In this investigation
More informationDESIGN OF INTERMEDIATE RING STIFFENERS FOR COLUMN-SUPPORTED CYLINDRICAL STEEL SHELLS
DESIGN OF INTERMEDIATE RING STIFFENERS FOR COLUMN-SUPPORTED CYLINDRICAL STEEL SHELLS Öze Zeybek Reseach Assistant Depatment of Civil Engineeing, Middle East Technical Univesity, Ankaa, Tukey E-mail: ozeybek@metu.edu.t
More informationDEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS
DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS TSOKOS LESSON 10-1 DESCRIBING FIELDS Essential Idea: Electic chages and masses each influence the space aound them and that influence can be epesented
More informationProceedings of the 11th WSEAS International Conference on Automatic Control, Modelling and Simulation
Tempeatue measuement in contact pantogaph - AC contact line Constantin-Floin OCOLEANU *, Ioan POPA *, Gheoghe MANOLEA **, Alin-Iulian DOLAN * Electical Appaatus and Technologies *, Electomechanical **
More informationMathematical Analysis and Numerical Simulation of High Frequency Electromagnetic Field in Soft Contact Continuous Casting Mold
, pp. 974 981 Mathematical Analysis and Numeical Simulation of High Fequency Electomagnetic Field in Soft Contact Continuous Casting Mold Xianzhao NA, Xingzhong ZHANG and Yong GAN National Engineeing &
More informationTo investigate Heat Loss of a Fluid flowing through a Pipeline for Turbulent Flow
ISSN: 2454-2377 Volume, Issue 9, Januay 206 To investigate Heat Loss of a Fluid flowing though a Pipeline fo Tubulent Flow Maheshkuma Mauti Patil, Maiappan D. Nada 2, Suhas A. Uthale 3 PG Student, Mechanical
More informationLINEAR AND NONLINEAR ANALYSES OF A WIND-TUNNEL BALANCE
LINEAR AND NONLINEAR ANALYSES O A WIND-TUNNEL INTRODUCTION BALANCE R. Kakehabadi and R. D. Rhew NASA LaRC, Hampton, VA The NASA Langley Reseach Cente (LaRC) has been designing stain-gauge balances fo utilization
More information7.2. Coulomb s Law. The Electric Force
Coulomb s aw Recall that chaged objects attact some objects and epel othes at a distance, without making any contact with those objects Electic foce,, o the foce acting between two chaged objects, is somewhat
More informationContact impedance of grounded and capacitive electrodes
Abstact Contact impedance of gounded and capacitive electodes Andeas Hödt Institut fü Geophysik und extateestische Physik, TU Baunschweig The contact impedance of electodes detemines how much cuent can
More informationControl Chart Analysis of E k /M/1 Queueing Model
Intenational OPEN ACCESS Jounal Of Moden Engineeing Reseach (IJMER Contol Chat Analysis of E /M/1 Queueing Model T.Poongodi 1, D. (Ms. S. Muthulashmi 1, (Assistant Pofesso, Faculty of Engineeing, Pofesso,
More informationA scaling-up methodology for co-rotating twin-screw extruders
A scaling-up methodology fo co-otating twin-scew extudes A. Gaspa-Cunha, J. A. Covas Institute fo Polymes and Composites/I3N, Univesity of Minho, Guimaães 4800-058, Potugal Abstact. Scaling-up of co-otating
More informationNATURAL CONVECTION HEAT TRANSFER WITHIN VERTICALLY ECCENTRIC DOMED SKYLIGHTS CAVITIES
Poceedings: Building Simulation 007 NATURAL CONVECTION HEAT TRANSFER WITHIN VERTICALLY ECCENTRIC DOMED SKYLIGHTS CAVITIES A. Satipi, A. Laouadi, D. Naylo 3, R. Dhib 4 Depatment of Mechanical and Industial
More informationChapter 2 ONE DIMENSIONAL STEADY STATE CONDUCTION. Chapter 2 Chee 318 1
hapte ONE DIMENSIONAL SEADY SAE ONDUION hapte hee 38 HEA ONDUION HOUGH OMPOSIE EANGULA WALLS empeatue pofile A B X X 3 X 3 4 X 4 Χ A Χ B Χ hapte hee 38 hemal conductivity Fouie s law ( is constant) A A
More informationPhys102 Second Major-182 Zero Version Monday, March 25, 2019 Page: 1
Monday, Mach 5, 019 Page: 1 Q1. Figue 1 shows thee pais of identical conducting sphees that ae to be touched togethe and then sepaated. The initial chages on them befoe the touch ae indicated. Rank the
More informationINFLUENCE OF GROUND INHOMOGENEITY ON WIND INDUCED GROUND VIBRATIONS. Abstract
INFLUENCE OF GROUND INHOMOGENEITY ON WIND INDUCED GROUND VIBRATIONS Mohammad Mohammadi, National Cente fo Physical Acoustics, Univesity of Mississippi, MS Caig J. Hicey, National Cente fo Physical Acoustics,
More informationScienceDirect. The modelling of the electric field generated by the electrical transport lines
Available online at www.sciencediect.com ScienceDiect Enegy ocedia 85 (016) 170 177 Sustainable Solutions fo Enegy and Envionment, EENVIRO - YRC 015, 18-0 Novembe 015, Buchaest, Romania The modelling of
More informationForce between two parallel current wires and Newton s. third law
Foce between two paallel cuent wies and Newton s thid law Yannan Yang (Shanghai Jinjuan Infomation Science and Technology Co., Ltd.) Abstact: In this pape, the essence of the inteaction between two paallel
More informationPosition Error Estimation of a Laser Illuminated Object
SCIENTIFIC PUBLICATIONS OF THE STATE UNIVERSITY OF NOVI PAZAR SER. A: APPL. MATH. INFORM. AND MECH. vol. 3, 1 (2011, 59-69 Position Eo Estimation of a Lase Illuminated Object Ž. P. Babaić Abstact: Position
More informationName. Date. Period. Engage Examine the pictures on the left. 1. What is going on in these pictures?
AP Physics 1 Lesson 9.a Unifom Cicula Motion Outcomes 1. Define unifom cicula motion. 2. Detemine the tangential velocity of an object moving with unifom cicula motion. 3. Detemine the centipetal acceleation
More informationSensor and Simulation Notes. Note 525. Oct Lens Design for a Prolate-Spheroidal Impulse radiating Antenna (IRA)
Senso and Simulation Notes Note 55 Oct 7 Lens Design fo a Polate-Spheoidal Impulse adiating Antenna (IRA) Sehat Altunc, Cal E. Baum, Chistos G. Chistodoulou and Edl Schamiloglu Univesity of New Mexico
More informationT x. T k x. is a constant of integration. We integrate a second time to obtain an expression for the temperature distribution:
ME 336 Fall 8 HW solution Poblem - The geneal fom of the heat diffusion equation is: T cp = ( T) + eg t - one-dimensional conduction (along the x - diection only): = ˆi and T = T( x) x - steady state conditions:
More informationMulti-state Electric Field Analysis of 1-tower-double-circuit HVDC Transmission Lines Based On Charge Simulation Method
Applied Mechanics and Mateials Online: 04-0-06 ISSN: 66-748, Vol. 5, pp 3-39 doi:0.408/www.scientific.net/amm.5.3 04 Tans Tech Publications, Switzeland Multi-state Electic Field Analysis of -towe-double-cicuit
More informationSTABILITY AND PARAMETER SENSITIVITY ANALYSES OF AN INDUCTION MOTOR
HUNGARIAN JOURNAL OF INDUSTRY AND CHEMISTRY VESZPRÉM Vol. 42(2) pp. 109 113 (2014) STABILITY AND PARAMETER SENSITIVITY ANALYSES OF AN INDUCTION MOTOR ATTILA FODOR 1, ROLAND BÁLINT 1, ATTILA MAGYAR 1, AND
More informationPHYSICS 151 Notes for Online Lecture #20
PHYSICS 151 Notes fo Online Lectue #20 Toque: The whole eason that we want to woy about centes of mass is that we ae limited to looking at point masses unless we know how to deal with otations. Let s evisit
More informationMechanical Design for an Elliptical Shaped Nozzle Exposed for Thermal and Pressure Loads
MASTER S THESIS 007:159 CIV Mechanical Design fo an Elliptical Shaped Nozzle Exposed fo Themal and Pessue Loads Caoline Pettesson Caoline Pettesson Luleå Univesity of Technology MSc Pogammes in Engineeing
More informationQUALITATIVE AND QUANTITATIVE ANALYSIS OF MUSCLE POWER
QUALITATIVE AND QUANTITATIVE ANALYSIS OF MUSCLE POWER Jey N. Baham Anand B. Shetty Mechanical Kinesiology Laboatoy Depatment of Kinesiology Univesity of Nothen Coloado Geeley, Coloado Muscle powe is one
More information$ i. !((( dv vol. Physics 8.02 Quiz One Equations Fall q 1 q 2 r 2 C = 2 C! V 2 = Q 2 2C F = 4!" or. r ˆ = points from source q to observer
Physics 8.0 Quiz One Equations Fall 006 F = 1 4" o q 1 q = q q ˆ 3 4" o = E 4" o ˆ = points fom souce q to obseve 1 dq E = # ˆ 4" 0 V "## E "d A = Q inside closed suface o d A points fom inside to V =
More informationNumerical Integration
MCEN 473/573 Chapte 0 Numeical Integation Fall, 2006 Textbook, 0.4 and 0.5 Isopaametic Fomula Numeical Integation [] e [ ] T k = h B [ D][ B] e B Jdsdt In pactice, the element stiffness is calculated numeically.
More informationLead field theory and the spatial sensitivity of scalp EEG Thomas Ferree and Matthew Clay July 12, 2000
Lead field theoy and the spatial sensitivity of scalp EEG Thomas Feee and Matthew Clay July 12, 2000 Intoduction Neuonal population activity in the human cotex geneates electic fields which ae measuable
More informationSurveillance Points in High Dimensional Spaces
Société de Calcul Mathématique SA Tools fo decision help since 995 Suveillance Points in High Dimensional Spaces by Benad Beauzamy Januay 06 Abstact Let us conside any compute softwae, elying upon a lage
More informationInverse Square Law and Polarization
Invese Squae Law and Polaization Objectives: To show that light intensity is invesely popotional to the squae of the distance fom a point light souce and to show that the intensity of the light tansmitted
More informationChapter 13 Gravitation
Chapte 13 Gavitation In this chapte we will exploe the following topics: -Newton s law of gavitation, which descibes the attactive foce between two point masses and its application to extended objects
More informationSCRAPED SURFACE HEAT EXCHANGER (SSHE)
Intenational Jounal of Engineeing Reseach and Geneal Science Volume 4, Issue 6,Novembe-Decembe, 2016 SCRAPED SURFACE HEAT EXCHANGER (SSHE) Rajesh S C, D. B. Sadashive Gowda, D. G.S.V.L. Naasimham VVPIET
More informationPearson s Chi-Square Test Modifications for Comparison of Unweighted and Weighted Histograms and Two Weighted Histograms
Peason s Chi-Squae Test Modifications fo Compaison of Unweighted and Weighted Histogams and Two Weighted Histogams Univesity of Akueyi, Bogi, v/noduslód, IS-6 Akueyi, Iceland E-mail: nikolai@unak.is Two
More informationCurrent, Resistance and
Cuent, Resistance and Electomotive Foce Chapte 25 Octobe 2, 2012 Octobe 2, 2012 Physics 208 1 Leaning Goals The meaning of electic cuent, and how chages move in a conducto. What is meant by esistivity
More informationToday in Physics 122: getting V from E
Today in Physics 1: getting V fom E When it s best to get V fom E, athe than vice vesa V within continuous chage distibutions Potential enegy of continuous chage distibutions Capacitance Potential enegy
More informationUsing Laplace Transform to Evaluate Improper Integrals Chii-Huei Yu
Available at https://edupediapublicationsog/jounals Volume 3 Issue 4 Febuay 216 Using Laplace Tansfom to Evaluate Impope Integals Chii-Huei Yu Depatment of Infomation Technology, Nan Jeon Univesity of
More informationSpherical Solutions due to the Exterior Geometry of a Charged Weyl Black Hole
Spheical Solutions due to the Exteio Geomety of a Chaged Weyl Black Hole Fain Payandeh 1, Mohsen Fathi Novembe 7, 018 axiv:10.415v [g-qc] 10 Oct 01 1 Depatment of Physics, Payame Noo Univesity, PO BOX
More informationExperiment I Voltage Variation and Control
ELE303 Electicity Netwoks Expeiment I oltage aiation and ontol Objective To demonstate that the voltage diffeence between the sending end of a tansmission line and the load o eceiving end depends mainly
More informationDo Managers Do Good With Other People s Money? Online Appendix
Do Manages Do Good With Othe People s Money? Online Appendix Ing-Haw Cheng Haison Hong Kelly Shue Abstact This is the Online Appendix fo Cheng, Hong and Shue 2013) containing details of the model. Datmouth
More informationTwo-level quantum dot in the Aharonov Bohm ring. Towards understanding phase lapse *
Mateials Science-Poland, Vol. 5, No. 4, 007 Two-level quantum dot in the Ahaonov Bohm ing. Towads undestanding phase lapse * P. STEFAŃSKI ** Institute of Molecula Physics of the Polish Academy of Sciences,
More informationTransverse Wakefield in a Dielectric Tube with Frequency Dependent Dielectric Constant
ARDB-378 Bob Siemann & Alex Chao /4/5 Page of 8 Tansvese Wakefield in a Dielectic Tube with Fequency Dependent Dielectic Constant This note is a continuation of ARDB-368 that is now extended to the tansvese
More informationModeling Fermi Level Effects in Atomistic Simulations
Mat. Res. Soc. Symp. Poc. Vol. 717 Mateials Reseach Society Modeling Femi Level Effects in Atomistic Simulations Zudian Qin and Scott T. Dunham Depatment of Electical Engineeing, Univesity of Washington,
More informationFREE SPACE OPTICS - MEASUREMENT OF TRANSMISSION QUALITY LINK PARAMETERS
FREE SPACE OPTICS - MEASUREMENT OF TRANSMISSION QUALITY LINK PARAMETERS Pavel Hovořák, Otaka Wilfet Depatment of Radioelectonics, Bno Univesity of Technology, Faculty of Electical Engineeing and Communication,
More informationOn the Comparison of Stability Analysis with Phase Portrait for a Discrete Prey-Predator System
Intenational Jounal of Applied Engineeing Reseach ISSN 0973-4562 Volume 12, Nume 24 (2017) pp. 15273-15277 Reseach India Pulications. http://www.ipulication.com On the Compaison of Staility Analysis with
More informationGravitation. AP/Honors Physics 1 Mr. Velazquez
Gavitation AP/Honos Physics 1 M. Velazquez Newton s Law of Gavitation Newton was the fist to make the connection between objects falling on Eath and the motion of the planets To illustate this connection
More informationEmpirical Prediction of Fitting Densities in Industrial Workrooms for Ray Tracing. 1 Introduction. 2 Ray Tracing using DRAYCUB
Empiical Pediction of Fitting Densities in Industial Wokooms fo Ray Tacing Katina Scheebnyj, Muay Hodgson Univesity of Bitish Columbia, SOEH-MECH, Acoustics and Noise Reseach Goup, 226 East Mall, Vancouve,
More informationA thermodynamic degree of freedom solution to the galaxy cluster problem of MOND. Abstract
A themodynamic degee of feedom solution to the galaxy cluste poblem of MOND E.P.J. de Haas (Paul) Nijmegen, The Nethelands (Dated: Octobe 23, 2015) Abstact In this pape I discus the degee of feedom paamete
More information