Homework Set 4. gas B open end
|
|
- Lionel Buck Green
- 5 years ago
- Views:
Transcription
1 Homework Set 4 (1). A steady-state Arnold ell is used to determine the diffusivity of toluene (speies A) in air (speies B) at 298 K and 1 atm. If the diffusivity is DAB = m 2 /s = 8.44 x 10-6 m 2 /s, and the ell has a 0.8 m 2 ross-setional area and a onstant diffusion path length of 10 m, how muh toluene in units of m 3 per hour must be supplied to the ell to maintain a onstant liquid level? At 298K, the vapor pressure of toluene is 28.4 mmhg and its speifi gravity is gas B open end N Az (z=z+ z) N Az (z=z) z = z 2 z z = z 1 pure liquid A liquid-gas interfae Note that onentration of toluene in the air blowing past the top of the Arnold ell is effetively zero as it is extremely dilute. The molar mass of toluene is g/mol. (2). A spherial ball of solid, nonporous naphthalene, a moth ball, is suspended in still air. The naphthalene ball slowly sublimes, releasing the naphthalene into the surrounding air by a diffusion limited proess. Estimate the time required to redue the diameter from 2 m to 0.5 m when the surrounding air is at 347 K and Pa. Naphthalene has a moleular weight of 128 g/mole, a solid density of g/m 3, a diffusion oeffiient in air of m 2 /s, and exerts a vapor pressure of 5 torr (670 Pa) at 347 K. While this problem is not stritly steady state, for purposes of the approximate alulation you may treat it as steady state. (3). In the manufature of semionduting thin films, a thin film of solid arseni is laid down onto the surfae of a silion wafer by the hemial vapor deposition of arseni, AsH3
2 2AsH3(g) 2 As(s) + 3 H2(g) The arseni atoms then diffuse into the solid silion to dope the wafer. What is the flux of arseni atoms into the silion wafer after one hour, in units of atoms/m 2 s? What is the arseni onentration 2 mirons into the silion wafer after one hour, in units of atoms/m 3? The initial onentration of residual arseni in the silion wafer is atoms/m 3. The proess temperature is 1050 C. The average diffusivity of arseni in silion is m 2 /s at this temperature, and its maximum solubility in silion is atoms/m 3. The Si wafer an be onsidered to be semi-infinite. Also, tabulated values of the error funtion an be found at (4). A 750 Watt immersion heater in the form of a ylinder with a 0.75 inh diameter and 6 inhes in length is plaed in 20 o C stagnant water. The ylinder is oriented with its axis horizontal. Heating of the water produes free (natural) onvetion of water around the ylinder. This free onvetion removes heat from the ylinder's surfae at a rate that an be alulated with the help of the following orrelation established from experimental data: Nu = 1/ Ra /16 1 (0.559/ Pr) 2 8 / 27 This orrelation was derived for ylinders with a high aspet ratio (as in the present problem), immersed in a fluid reservoir and oriented horizontal (that is, perpendiular to the gravitational field). Nu is the Nusselt number, Pr is the Prandtl number, and Ra is the Rayleigh number. For this situation, these dimensionless groups are defined as follows: Nu = hd/ Pr = ĉ p / Ra = D 3 g T / ( ) D is the ylinder radius, g is the gravitational onstant, 0 is the density of the fluid at the bulk temperature, is the oeffiient of thermal expansion of the fluid, T is the temperature differene between surfae of the ylinder and bulk fluid, is the fluid visosity, is the thermal diffusivity of the fluid, is the thermal ondutivity of the fluid, and h is the heat transfer oeffiient desribing heat transfer from the ylinder to the surrounding fluid due to free onvetion. Ra an be shown to equal the produt of the Grashof and Prandtl numbers, Ra = Gr Pr. The produt T equals the differene in density between fluid at the ylinder surfae and in the bulk. In the above expressions, the properties of the fluid (other than 0) are evaluated at the surfae temperature of the ylinder.
3 Calulate the surfae temperature of the ylinder, given that steady state applies (Note: a trial and error solution is required). Properties of water as a funtion of temperature an be found at (5). A ooking oven has a top surfae temperature of 45 C when exposed to still air. At this ondition the inside oven temperature and room air temperature are 180 C and 20 C, respetively, and heat is transferred from the top surfae at 40 W. To redue the surfae temperature, as required by safety regulations, room air is blown aross the top with a veloity of 20 m/s, whih is measured to redue the surfae temperature to 24 C. What will be the rate of heat transfer from the top surfae under this new operating ondition? When the room air is still (initial situation), the heat transfer from the oven top to the air is by natural onvetion only. Under this situation we an take NuL = 0.15 Ra 1/3 (works for 10 7 < Ra < ) Assume the shape of the oven top is square, with a length L on eah side (you'll need to figure out what L is from the given information note that the total rate of heat transfer is given in Watts, rather than a heat flux). For the fored onvetion ase when air is blown aross the top of the oven, there are several options of orrelations. Two are reprodued below (the laminar flow orrelation follows from boundary layer theory) NuL = Re L 1/2 Pr 1/3 (works for laminar flow, ReL < ) NuL = (0.037 Re L 4/5 871)Pr 1/3 (works for transition flow, < ReL < ) You an assume that the heat transfer from the top of the oven is dominated by fored onvetion (i.e. the fored onvetion heat transfer is muh larger than any residual natural onvetion transfer). In these orrelations the properties of air are to be evaluated at the film temperature Tf, whih is the average of the surfae and bulk temperatures. Properties of air are at Note that the internal oven temperature of 180 C is not needed in this problem. The subsript L indiates to use L as the harateristi dimension of the problem. (6). Trihloroethane, Cl3CCH3 (TCA), is used to hlorinate films of SiO2 grown by thermal oxidation. A semiondutor fabriation proess has been proposed involving the evaporating of the TCA into a flowing inert gas stream. A pan will ontain the liquid TCA at a starting depth of 0.01 m and a length of 4 m in the diretion that inert gas will flow at 6 m/s. The pan is quite wide. The liquid TCA will be maintained at a temperature of 293K and the system s pressure will be Pa. Under these onditions, the vapor pressure of TCA is Pa, the kinemati visosity of the inert gas is = / = m 2 /s, and the diffusivity of TCA may
4 be assumed to be m 2 /s. If the density of the liquid TCA is assumed to be 1 g/m 3 and the transition from laminar to turbulent ours at Ret = , determine the time that will be required to evaporate the TCA. The molar mass of TCA is 133 g/mol. Above it states that the transition from laminar to turbulent flow of the gas over the pan ours at Ret = For flows over a flat surfae like the pan, the flow remains laminar for short distanes but as the length of the surfae (here pan) inreases the perturbation to the flow builds and a transition from laminar to turbulent flow takes plae. This is quantified by the Reynolds number, whih is defined as Rex = Vx/ where x is the distane traveled along the surfae and V is the veloity of the flow far from the surfae, where it remains unperturbed. Thus, Rex inreases with distane from the leading edge of the pan. This means that mass transfer over the initial setion of the pan, for whih Rex < Ret, will follow the orrelation for laminar flow, while that from the remaining area of the pan where Rex > Ret will obey the orrelation for turbulent flow. The appliable orrelation for suh a ombined situation of laminar and turbulent flows an be obtained by averaging over the full length of the pan, leading to k 0.664D AB S 1/ 3 Re 1/ 2 t D L AB S 1/ 3 (Re 4 / 5 L Re 4 / 5 t ) The above equation provides an expression for an averaged mass transfer oeffiient for a plate of total length L over whih part of the flow is laminar (orresponding to first term in the numerator) and part turbulent (the seond term in the numerator). (7). Determine the value of Henry s law onstant, in Pa/mole fration of ammonia (as xnh3 0) for ammonia (NH3) in water. The following equilibrium data at 298 K were reported in the Chemial Engineering Handbook: partial pressure NH3, mmhg wt NH3/100 wt of water Take the molar mass of ammonia as g/mol. (8). An absorption tower, operating at 293 K and Pa, was used to absorb SO2 from an air mixture into water. At one point in the equipment, the partial pressure of the SO2 on the gas stream was Pa and the onentration of the ontating liquid stream was 0.55 kgmole/m 3. The individual film mass-transfer oeffiients at 293 K and Pa were
5 and kg = kgmole/m 2 s Pa kl = kgmole/m 2 s (kgmole/m 3 ) Equilibrium data at 293 K are as follows: Partial pressure SO2, Pa Conentration in kgmole/m 3 soln A kgmol is a number of partiles equal to 1000 times Avogadro's number (i.e. 1 kgmol = partiles). The plae to start for part (a) is to equate the molar fluxes on the gas and liquid sides of the interfae (assuming no aumulation at the interfae) and to make use of the equilibrium data provided. You may wish to fit the equilibrium data to a polynomial for ease of interpolation, but this is not neessary (i.e. manual interpolation between the given values is fine). (a) Evaluate the interfaial onentration, A,i, and pa,i. (b) Fill in the values for the following table, giving the various oeffiients and the assoiated driving fore. Coeffiient kg = kl = KG = KL = Driving Fore pag - pai = Ai - AL = pag - pa* = A* - AL = () What perentage of the overall mass-transfer resistane is in the gas film? (9). The outside walls of a house are onstruted of a 4-in. layer of brik, ½ in. of elotex, an air 5 spae 3 in. thik, and ¼ in. of wood paneling. If the outside surfae of the brik is at 30 F 8 and the inner surfae of the paneling at 75 F, what is the heat flux if the air spae is assumed to transfer heat by ondution only? Below are the needed thermal ondutivities: kbrik = 0.38 Btu/hr ft o F kelotex = Btu/hr ft o F kair = Btu/hr ft o F kwood = 0.12 Btu/hr ft o F
Review for Exam #2. Specific Heat, Thermal Conductivity, and Thermal Diffusivity. Conduction
Review for Exam # Speifi Heat, Thermal Condutivity, and Thermal Diffusivity Speifi heat ( p ) A measure of how muh energy is required to raise the temperature of an objet Thermal ondutivity (k) A measure
More information2. Mass transfer takes place in the two contacting phases as in extraction and absorption.
PRT 11- CONVECTIVE MSS TRNSFER 2.1 Introdution 2.2 Convetive Mass Transfer oeffiient 2.3 Signifiant parameters in onvetive mass transfer 2.4 The appliation of dimensional analysis to Mass Transfer 2.4.1
More informationMass Transfer 2. Diffusion in Dilute Solutions
Mass Transfer. iffusion in ilute Solutions. iffusion aross thin films and membranes. iffusion into a semi-infinite slab (strength of weld, tooth deay).3 Eamples.4 ilute diffusion and onvetion Graham (85)
More informationMass Transfer (Stoffaustausch) Fall 2012
Mass Transfer (Stoffaustaush) Fall Examination 9. Januar Name: Legi-Nr.: Edition Diffusion by E. L. Cussler: none nd rd Test Duration: minutes The following materials are not permitted at your table and
More informationMODULE 3: MASS TRANSFER COEFFICIENTS
MOULE 3: MASS TRASFER COEFFICIETS LECTURE O. 6 3.5. Penetration theory Most of the industrial proesses of mass transfer is unsteady state proess. In suh ases, the ontat time between phases is too short
More informationPart G-4: Sample Exams
Part G-4: Sample Exams 1 Cairo University M.S.: Eletronis Cooling Faulty of Engineering Final Exam (Sample 1) Mehanial Power Engineering Dept. Time allowed 2 Hours Solve as muh as you an. 1. A heat sink
More informationNatural Convection Experiment Measurements from a Vertical Surface
OBJECTIVE Natural Convetion Experiment Measurements from a Vertial Surfae 1. To demonstrate te basi priniples of natural onvetion eat transfer inluding determination of te onvetive eat transfer oeffiient.
More informationGeneral Equilibrium. What happens to cause a reaction to come to equilibrium?
General Equilibrium Chemial Equilibrium Most hemial reations that are enountered are reversible. In other words, they go fairly easily in either the forward or reverse diretions. The thing to remember
More informationReceived 3 November 2015; accepted 24 December 2015; published 29 December 2015
Open Journal of Fluid Dynamis, 015, 5, 364-379 Published Online Deember 015 in SiRes. http://www.sirp.org/journal/ojfd http://dx.doi.org/10.436/ojfd.015.54036 Effets of Thermal Radiation and Radiation
More informationChapter 14. The Concept of Equilibrium and the Equilibrium Constant. We have for the most part depicted reactions as going one way.
Chapter 14 The Conept of Equilibrium and the Equilibrium Constant In hapter 1 we dealt with Physial Equilibrium Physial Changes HO 2 (l) HO 2 (g) In hapter 14 we will learn about Chemial Equilibrium. We
More informationChemical Reaction Engineering
Leture 6 Chemial Reation Engineering (CRE) is the field that studies the rates and mehanisms of hemial reations and the design of the reators in whih they tae plae. Web Leture 6 Class Leture Course Information
More informationDuct Acoustics. Chap.4 Duct Acoustics. Plane wave
Chap.4 Dut Aoustis Dut Aoustis Plane wave A sound propagation in pipes with different ross-setional area f the wavelength of sound is large in omparison with the diameter of the pipe the sound propagates
More informationMass Transfer Operations
College of Engineering Tutorial # 1 Chemical Engineering Dept. 14/9/1428 1. Methane and helium gas mixture is contained in a tube at 101.32 k Pa pressure and 298 K. At one point the partial pressure methane
More informationHeat exchangers: Heat exchanger types:
Heat exhangers: he proess of heat exhange between two fluids that are at different temperatures and separated by a solid wall ours in many engineering appliations. he devie used to implement this exhange
More informationIV Transport Phenomena. Lecture 21: Solids and Concentrated Solutions
IV Transport Phenomena Leture 21: Solids and Conentrated Solutions MIT Student (and MZB) Marh 28, 2011 1 Transport in Solids 1.1 Diffusion The general model of hemial reations an also be used for thermally
More informationDr G. I. Ogilvie Lent Term 2005
Aretion Diss Mathematial Tripos, Part III Dr G. I. Ogilvie Lent Term 2005 1.4. Visous evolution of an aretion dis 1.4.1. Introdution The evolution of an aretion dis is regulated by two onservation laws:
More informationLecture 4. Kinetics and Transport in Sorption (1)
Leture 4. Kinetis and Transport in Sorption () Mass-Transport Proesses in Adsorption Convetion-Dispersion Model Modes of Time-Dependent Sorption Operation Chromatogram Solute Conentration Distriution Separation
More informationModel Prediction of Heat Losses from Sirosmelt Pilot Plant
00 mm 855 mm 855 mm Model Predition of Heat Losses from Sirosmelt Pilot Plant Yuua Pan 1 and Miael A Somerville 1 1 CSIRO Mineral Resoures Flagsip, Private Bag 10, Clayton Sout, VIC 169, Australia Keywords:
More informationELECTROCHEMISTRY Lecture/Lession Plan -1
Chapter 4 ELECTROCHEMISTRY Leture/Lession Plan -1 ELECTROCHEMISTRY 4.1 Conept of eletrohemistry Eletrohemistry is a branh of hemistry where we will study how hemial energy an be transformed into eletrial
More informationThermal interaction between free convection and forced convection along a vertical conducting wall
Termal interation between free onvetion and fored onvetion along a vertial onduting wall J.-J. Su, I. Pop Heat and Mass Transfer 35 (1999) 33±38 Ó Springer-Verlag 1999 Abstrat A teoretial study is presented
More informationLecture 6 Design of ESP
Leture 6 Design of ES DESIGN OF ELECTROSTATIC RECIITATOR Introdution An eletrostati preipitator (ES) is a partile ontrol devie that uses eletrial fores to move the partiles out of the flowing gas stream
More informationChapter 15 Equilibrium. Reversible Reactions & Equilibrium. Reversible Reactions & Equilibrium. Reversible Reactions & Equilibrium 5/27/2014
Amount of reatant/produt 5/7/01 quilibrium in Chemial Reations Lets look bak at our hypothetial reation from the kinetis hapter. A + B C Chapter 15 quilibrium [A] Why doesn t the onentration of A ever
More informationA Study of Dufour and Soret Effect on MHD Mixed Convection Stagnation Point Flow towards a Vertical Plate in a Porous Medium
International Journal of Fluids Engineering. ISSN 0974-3138 Volume 9, Number 1 (017), pp. 1-8 International Researh Publiation House http://www.irphouse.om A Study of Dufour and Soret Effet on MHD Mixed
More informationTHERMAL MODELING OF PACKAGES FOR NORMAL CONDITIONS OF TRANSPORT WITH INSOLATION t
THERMAL MODELING OF PACKAGES FOR NORMAL CONDITIONS OF TRANSPORT WITH INSOLATION THERMAL MODELING OF PACKAGES FOR NORMAL CONDITIONS OF TRANSPORT WITH INSOLATION t Tehnial Programs and Servies/Engineering
More informationPOROUS CARBON PARTICLE COMBUSTION IN AIR
MCS 7 Chia Laguna, Cagliari, Sardinia, taly, 11-15, 11 POOUS CABON PATCLE COMBUSTON N A V. M. Gremyahkin grema@ipmnet.ru nstitute for Problems in Mehanis, AS, Mosow, ussia Abstrat Theoretial investigation
More informationConvective Mass Transfer
Convective Mass Transfer Definition of convective mass transfer: The transport of material between a boundary surface and a moving fluid or between two immiscible moving fluids separated by a mobile interface
More informationChapter 15 Equilibrium. Reversible Reactions & Equilibrium. Reversible Reactions & Equilibrium. Reversible Reactions & Equilibrium 2/3/2014
Amount of reatant/produt //01 quilibrium in Chemial Reations Lets look bak at our hypothetial reation from the kinetis hapter. A + B C Chapter 15 quilibrium [A] Why doesn t the onentration of A ever go
More informationPhysics (Theory) There are 30 questions in total. Question Nos. 1 to 8 are very short answer type questions and carry one mark each.
Physis (Theory) Tie allowed: 3 hours] [Maxiu arks:7 General Instrutions: (i) ll uestions are opulsory. (ii) (iii) (iii) (iv) (v) There are 3 uestions in total. Question Nos. to 8 are very short answer
More informationStudy the Effect of Variable Viscosity and Thermal Conductivity of Micropolar Fluid in a Porous Channel
Study the Effet of Variable Visosity and Thermal Condutivity of Miropolar Fluid in a Porous Channel Gitima Patowary 1, Dusmanta Kumar Sut 1 Assistant Professor, Dept. of Mathematis, Barama College, Barama,
More informationIII. SURFACE PROPERTIES III.A. SURFACE TENSION SURFACE PROPERTIES
III. SURFACE PROPERTIES III.A. SURFACE TENSION GOAL: To investigate the influene of the solution onentration and/or the kind of the solute on the surfae tension INTRODUCTION Liquids tend to adopt shapes
More informationERT 216 HEAT & MASS TRANSFER SEM2, 2013/2014
ERT 16 HET & MSS TRNSFER SEM, 01/014 Tutorial: Principles of Mass Transfer (Part 1) gas of CH 4 and He is contained in a tube at 10 kpa pressure and 98 K. t one point the partial pressure of methane is
More informationEnhanced Energy Harvesting by Concentration. Gradient-Driven Ion Transport in SBA-15 Mesoporous
Eletroni Supplementary aterial (ESI) for ab on a Chip. This journal is The Royal Soiety of Chemistry 016 Eletroni supplementary information (ESI) Enhaned Energy arvesting by Conentration Gradient-Driven
More informationAcoustic Waves in a Duct
Aousti Waves in a Dut 1 One-Dimensional Waves The one-dimensional wave approximation is valid when the wavelength λ is muh larger than the diameter of the dut D, λ D. The aousti pressure disturbane p is
More informationA simple expression for radial distribution functions of pure fluids and mixtures
A simple expression for radial distribution funtions of pure fluids and mixtures Enrio Matteoli a) Istituto di Chimia Quantistia ed Energetia Moleolare, CNR, Via Risorgimento, 35, 56126 Pisa, Italy G.
More informationChapter 13, Chemical Equilibrium
Chapter 13, Chemial Equilibrium You may have gotten the impression that when 2 reatants mix, the ensuing rxn goes to ompletion. In other words, reatants are onverted ompletely to produts. We will now learn
More informationMillennium Relativity Acceleration Composition. The Relativistic Relationship between Acceleration and Uniform Motion
Millennium Relativity Aeleration Composition he Relativisti Relationship between Aeleration and niform Motion Copyright 003 Joseph A. Rybzyk Abstrat he relativisti priniples developed throughout the six
More informationCalculation of Desorption Parameters for Mg/Si(111) System
e-journal of Surfae Siene and Nanotehnology 29 August 2009 e-j. Surf. Si. Nanoteh. Vol. 7 (2009) 816-820 Conferene - JSSS-8 - Calulation of Desorption Parameters for Mg/Si(111) System S. A. Dotsenko, N.
More informationStochastic boundary conditions to the convection-diffusion equation including chemical reactions at solid surfaces.
Stohasti boundary onditions to the onvetion-diffusion equation inluding hemial reations at solid surfaes. P. Szymzak and A. J. C. Ladd Department of Chemial Engineering, University of Florida, Gainesville,
More informationNUMERICAL SIMULATION OF ATOMIZATION WITH ADAPTIVE JET REFINEMENT
Paper ID ILASS8--7 ILASS 28 Sep. 8-, 28, Como Lake, Italy A44 NUMERICAL SIMULATION OF ATOMIZATION WITH ADAPTIVE JET REFINEMENT Anne Bagué, Daniel Fuster, Stéphane Popinet + & Stéphane Zaleski Université
More informationWave Propagation through Random Media
Chapter 3. Wave Propagation through Random Media 3. Charateristis of Wave Behavior Sound propagation through random media is the entral part of this investigation. This hapter presents a frame of referene
More informationMeasuring & Inducing Neural Activity Using Extracellular Fields I: Inverse systems approach
Measuring & Induing Neural Ativity Using Extraellular Fields I: Inverse systems approah Keith Dillon Department of Eletrial and Computer Engineering University of California San Diego 9500 Gilman Dr. La
More informationTHERMODYNAMICS Lecture 15: Heat exchangers
HERMODYNAMICS Leture 5: Heat exangers Pierwsza strona Introdution to Heat Exangers Wat Are Heat Exangers? Heat exangers are units designed to transfer eat from a ot flowing stream to a old flowing stream
More informationClass XII - Physics Electromagnetic Waves Chapter-wise Problems
Class XII - Physis Eletromagneti Waves Chapter-wise Problems Multiple Choie Question :- 8 One requires ev of energy to dissoiate a arbon monoxide moleule into arbon and oxygen atoms The minimum frequeny
More informationAnalysis of discretization in the direct simulation Monte Carlo
PHYSICS OF FLUIDS VOLUME 1, UMBER 1 OCTOBER Analysis of disretization in the diret simulation Monte Carlo iolas G. Hadjionstantinou a) Department of Mehanial Engineering, Massahusetts Institute of Tehnology,
More informationMETU Chem. Eng. Dept. Ch.E. 320 Chem. Eng. Lab I EXPERIMENT 33 MOLECULAR WEIGHT DETERMINATION OF POLYMERS BY CAPILLARY FLOW METHOD
EXPERIMENT 33 MOLECULAR WEIGHT DETERMINATION OF POLYMERS BY CAPILLARY FLOW METHOD OBJECTIVE The objetive of this experiment is to determine the intrinsi visosity of a polymersolvent system and to determine
More informationUNIT 1 OPEN CHANNEL FLOW 2 MARK QUESTIONS AND ANSWERS
DEPARTMENT: CIVIL ENGINEERING SEMESTER: IV- SEMESTER SUBJECT CODE / Name: CE53 / Applied Hydrauli Engineering 1. Define open hannel flow with examples. Examples: UNIT 1 OPEN CHANNEL FLOW MARK QUESTIONS
More informationDEVELOPMENT OF A MULTI-FEED P-T WELLBORE MODEL FOR GEOTHERMAL WELLS
PROCEEDINGS, Thirty-First Workshop on Geothermal Reservoir Engineering Stanford University, Stanford, California, January 3-February 1, 6 SGP-TR-179 DEVELOPMENT OF MULTI-FEED P-T WELLBORE MODEL FOR GEOTHERML
More informationCavity flow with surface tension past a flat plate
Proeedings of the 7 th International Symposium on Cavitation CAV9 Paper No. ## August 7-, 9, Ann Arbor, Mihigan, USA Cavity flow with surfae tension past a flat plate Yuriy Savhenko Institute of Hydromehanis
More informationProcess engineers are often faced with the task of
Fluids and Solids Handling Eliminate Iteration from Flow Problems John D. Barry Middough, In. This artile introdues a novel approah to solving flow and pipe-sizing problems based on two new dimensionless
More informationImproving the worthiness of the Elder problem as a benchmark for buoyancy driven convection models
Improving the worthiness of the Elder problem as a benhmark for buoyany driven onvetion models Maarten van Reeuwijk, Simon A. Mathias The Department of Civil and Environmental Engineering Imperial College
More informationChapter 3 Lecture 7. Drag polar 2. Topics. Chapter-3
hapter 3 eture 7 Drag polar Topis 3..3 Summary of lift oeffiient, drag oeffiient, pithing moment oeffiient, entre of pressure and aerodynami entre of an airfoil 3..4 Examples of pressure oeffiient distributions
More informationWhat s New in ChemSep TM 6.8
What s New in ChemSep TM 6.8 January 2011 (Updated Marh 2011) Harry Kooijman and Ross Taylor In this doument we identify and desribe the most important new features in ChemSep. 1. New: GUI an diretly load
More informationSurface tension in a reactive binary mixture of incompressible fluids
Surfae tension in a reative binary mixture of inompressible fluids Henning Struhtrup Institute for Mathematis and its Appliations, 400 Lind Hall, 07 Churh Street S.E, Minneapolis MN55455 John Dold Mathematis
More informationKINETICS OF IRON OXIDE DIRECT REDUCTION BY COAL E.R. ABRIL 1
KINETICS OF IRON OXIDE DIRECT REDUCTION BY COAL E.R. ABRIL 1 CIMM- Av.Velez Sarsfield 1561 C.P.5000 Córdoba, Argentina. aabril@intiemor.gov.ar Abstrat - A new interpretation to the kinetis of iron oxide
More informationEFFECTS OF COUPLE STRESSES ON PURE SQUEEZE EHL MOTION OF CIRCULAR CONTACTS
-Tehnial Note- EFFECTS OF COUPLE STRESSES ON PURE SQUEEZE EHL MOTION OF CIRCULAR CONTACTS H.-M. Chu * W.-L. Li ** Department of Mehanial Engineering Yung-Ta Institute of Tehnology & Commere Ping-Tung,
More informationIn this case it might be instructive to present all three components of the current density:
Momentum, on the other hand, presents us with a me ompliated ase sine we have to deal with a vetial quantity. The problem is simplified if we treat eah of the omponents of the vet independently. s you
More informationTutorial 8: Solutions
Tutorial 8: Solutions 1. * (a) Light from the Sun arrives at the Earth, an average of 1.5 10 11 m away, at the rate 1.4 10 3 Watts/m of area perpendiular to the diretion of the light. Assume that sunlight
More informationFour-dimensional equation of motion for viscous compressible substance with regard to the acceleration field, pressure field and dissipation field
Four-dimensional equation of motion for visous ompressible substane with regard to the aeleration field, pressure field and dissipation field Sergey G. Fedosin PO box 6488, Sviazeva str. -79, Perm, Russia
More information22.54 Neutron Interactions and Applications (Spring 2004) Chapter 6 (2/24/04) Energy Transfer Kernel F(E E')
22.54 Neutron Interations and Appliations (Spring 2004) Chapter 6 (2/24/04) Energy Transfer Kernel F(E E') Referenes -- J. R. Lamarsh, Introdution to Nulear Reator Theory (Addison-Wesley, Reading, 1966),
More informationDETERMINATION OF CARRIER TEMPERATURE FROM JUNCTION I(V) MEASUREMENTS
Journal of Eletron Devies, Vol. 15, 2012, pp. 1269-1273 JED [ISS: 1682-3427 ] DETERMIATIO OF CARRIER TEMPERATURE FROM JUCTIO I(V) MEASUREMETS 1 Mohamed H. Boukhatem, 2 Mario El Tahhi, 3 Pierre Mialhe 1
More informationJournal of Chemical and Pharmaceutical Research, 2014, 6(10): Research Article
Available online www.jopr.om Journal of Chemial and Pharmaeutial Researh, 014, 6(10:441-449 Researh Artile ISSN : 0975-7384 CODEN(USA : JCPRC5 Modeling and simulation of a wetted-wall olumn for SO absorption
More informationMechanistic Model for Reactive Transport of Radionuclides on Iron-(Oxy)Hydroxide Colloids at the Yucca Mountain Repository
U.S. Department of Energy Offie of Civilian Radioative Waste Management Mehanisti Model for Reative Transport of Radionulides on Iron-(Oxy)Hydroxide Colloids at the Yua Mountain Repository Presented to:
More informationAnswer: Easiest way to determine equilibrium concentrations is to set up a table as follows: 2 SO 2 + O 2 2 SO 3 initial conc change
Problem #1 6 mol of SO and 4 mol of O are plaed into a 1 L flask at temperature, T. The equilibrium onentration of SO is found to be 4 mol/l. Determine K. SO (g) + O (g) SO (g) K = [SO ] / [SO ] [O ] Answer:
More informationChapter 9. The excitation process
Chapter 9 The exitation proess qualitative explanation of the formation of negative ion states Ne and He in He-Ne ollisions an be given by using a state orrelation diagram. state orrelation diagram is
More informationOutline. Definition and mechanism Theory of diffusion Molecular diffusion in gases Molecular diffusion in liquid Mass transfer
Diffusion 051333 Unit operation in gro-industry III Department of Biotechnology, Faculty of gro-industry Kasetsart University Lecturer: Kittipong Rattanaporn 1 Outline Definition and mechanism Theory of
More informationFinite-Amplitude Surface Waves on a Thin Film Flow Subject to a Unipolar-Charge Injection
Korean J Chem Eng () 95-50 (005) Finite-Amplitude Surfae Waves on a Thin Film Flow Subjet to a Unipolar-Charge Injetion Hyo Kim Department of Chemial Engineering University of Seoul 90 Jeonnong-dong Dongdaemun-gu
More informationModeling of Threading Dislocation Density Reduction in Heteroepitaxial Layers
A. E. Romanov et al.: Threading Disloation Density Redution in Layers (II) 33 phys. stat. sol. (b) 99, 33 (997) Subjet lassifiation: 6.72.C; 68.55.Ln; S5.; S5.2; S7.; S7.2 Modeling of Threading Disloation
More informationLecture 3 - Lorentz Transformations
Leture - Lorentz Transformations A Puzzle... Example A ruler is positioned perpendiular to a wall. A stik of length L flies by at speed v. It travels in front of the ruler, so that it obsures part of the
More informationFor a classical composite material, the modulus change should follow the rule of mixtures:
Eletroni Supplementary Material (ESI for Journal of Materials Chemistry C. This journal is The Royal Soiety of Chemistry 2017 Eletroni Supplementary Information (ESI Super ompatible funtional BN nanosheets/polymer
More informationUTC. Engineering 329. Proportional Controller Design. Speed System. John Beverly. Green Team. John Beverly Keith Skiles John Barker.
UTC Engineering 329 Proportional Controller Design for Speed System By John Beverly Green Team John Beverly Keith Skiles John Barker 24 Mar 2006 Introdution This experiment is intended test the variable
More informationEF 152 Exam #3, Spring 2016 Page 1 of 6
EF 5 Exam #3, Spring 06 Page of 6 Name: Setion: Instrutions Do not open te exam until instruted to do so. Do not leave if tere is less tan 5 minutes to go in te exam. Wen time is alled, immediately stop
More informationShrinking core model for the reaction-diffusion problem in thermo-chemical heat storage Lan, S.; Zondag, H.A.; Rindt, C.C.M.
Shrinking ore model for the reation-diffusion problem in thermo-hemial heat storage Lan, S.; Zondag, H.A.; Rindt, C.C.M. Published in: Proeedings of The 13th International Conferene on Energy Storage,
More informationIntroduction to Heat and Mass Transfer. Week 14
Introduction to Heat and Mass Transfer Week 14 HW # 7 prob. 2 Hot water at 50C flows through a steel pipe (thermal conductivity 14 W/m-K) of 100 mm outside diameter and 8 mm wall thickness. During winter,
More informationCOMBINED PROBE FOR MACH NUMBER, TEMPERATURE AND INCIDENCE INDICATION
4 TH INTERNATIONAL CONGRESS OF THE AERONAUTICAL SCIENCES COMBINED PROBE FOR MACH NUMBER, TEMPERATURE AND INCIDENCE INDICATION Jiri Nozika*, Josef Adame*, Daniel Hanus** *Department of Fluid Dynamis and
More informationThe gravitational phenomena without the curved spacetime
The gravitational phenomena without the urved spaetime Mirosław J. Kubiak Abstrat: In this paper was presented a desription of the gravitational phenomena in the new medium, different than the urved spaetime,
More informationCOPYRIGHTED MATERIAL. Gravimetrics. Key Terms. Key Concepts. Words that can be used as topics in essays: accuracy atomic theory
8684-X Ch02.F 2/9/01 7:49 AM Page 23 Gravimetris Key Terms Words that an be used as topis in essays: auray atomi theory density empirial formula extensive property frational rystallization heterogeneous
More informationUNIT II CONVECTION HEAT TRANSFER
UNIT II CONVECTION HEAT TRANSFER Convection is the mode of heat transfer between a surface and a fluid moving over it. The energy transfer in convection is predominately due to the bulk motion of the fluid
More informationTurbulence Deposition
Trblene eposition ring trblent flid motions, partiles are transported by the trblene eddies and the Brownian diffsion. Ths, the partile flx is given by T dc J ( ) () dy where C is the average onentration
More informationPh1c Analytic Quiz 2 Solution
Ph1 Analyti Quiz 2 olution Chefung Chan, pring 2007 Problem 1 (6 points total) A small loop of width w and height h falls with veloity v, under the influene of gravity, into a uniform magneti field B between
More informationCorrelation of Hybrid Rocket Propellant Regression Measurements with Enthalpy-Balance Model Predictions
Correlation of Hybrid Roket Propellant Regression Measurements with Enthalpy-Balane Model Preditions Shannon D. Eilers. Utah State University, 4130 Old Main Hill, Logan, UT, 84322-4130 An enthalpy-balane
More informationFinal Review. A Puzzle... Special Relativity. Direction of the Force. Moving at the Speed of Light
Final Review A Puzzle... Diretion of the Fore A point harge q is loated a fixed height h above an infinite horizontal onduting plane. Another point harge q is loated a height z (with z > h) above the plane.
More informationEffect of Different Types of Promoters on Bed Expansion in a Gas-Solid Fluidized Bed with Varying Distributor Open Areas
Journal of Chemial Engineering of Japan, Vol. 35, No. 7, pp. 681 686, 2002 Short Communiation Effet of Different Types of Promoters on Bed Expansion in a Gas-Solid Fluidized Bed with Varying Distributor
More informationJF Physical Chemistry JF CH 1101: Introduction to Physical Chemistry.
JF Physial Chemistry 010-011. JF CH 1101: Introdution to Physial Chemistry. Dr Mike Lyons. Shool of Chemistry Trinity College Dublin. melyons@td.ie A ompendium of past examination questions set on Physial
More informationWhere as discussed previously we interpret solutions to this partial differential equation in the weak sense: b
Consider the pure initial value problem for a homogeneous system of onservation laws with no soure terms in one spae dimension: Where as disussed previously we interpret solutions to this partial differential
More informationChemical Engineering Thermodynamics II ( ) 02 - The Molar Gibbs Free Energy & Fugacity of a Pure Component
Chemial Engineering Thermodynamis II (090533) 0 - The Molar Gibbs Free Energy & Fugaity of a ure Component Dr. Ali Khalaf Al-matar Chemial Engineering Department University of Jordan banihaniali@yahoo.om
More informationA. MAGNETRON DEVELOPMENT. Prof. S. T. Martin J. G. Lawton A. G. Barrett R. R. Moats D. L. Eckhardt R. J. Renfrow. 1. High-Power 10.
VI. TUBE RESEARCH AND DEVELOPMENT A. MAGNETRON DEVELOPMENT Prof. S. T. Martin J. G. Lawton A. G. Barrett R. R. Moats D. L. Ekhardt R. J. Renfrow 1. High-Power 10.7-Cm Magnetron a. Testing and design To
More informationSummary of Dimensionless Numbers of Fluid Mechanics and Heat Transfer
1. Nusselt number Summary of Dimensionless Numbers of Fluid Mechanics and Heat Transfer Average Nusselt number: convective heat transfer Nu L = conductive heat transfer = hl where L is the characteristic
More informationSimple Considerations on the Cosmological Redshift
Apeiron, Vol. 5, No. 3, July 8 35 Simple Considerations on the Cosmologial Redshift José Franiso Garía Juliá C/ Dr. Maro Mereniano, 65, 5. 465 Valenia (Spain) E-mail: jose.garia@dival.es Generally, the
More informationUniversity of Washington Department of Chemistry Chemistry 452/456 Summer Quarter 2011
Homework Assignment #4: Due at 500 pm Monday 8 July,. University of Washington Department of Chemistry Chemistry 45/456 Summer Quarter 0 ) o a very good approximation, ammonia obeys the Bertholet equation
More informationPlume Impingement on a Dusty Lunar Surface
Plume Impingement on a Dusty Lunar Surfae A. B. Morris, D. B. Goldstein, P. L. Varghese, L. M. Trafton ASE-EM Department, 1 University Station, C0600, Austin, TX 78712, USA Abstrat. A loosely oupled ontinuum-dsmc
More informationLine Radiative Transfer
http://www.v.nrao.edu/ourse/astr534/ineradxfer.html ine Radiative Transfer Einstein Coeffiients We used armor's equation to estimate the spontaneous emission oeffiients A U for À reombination lines. A
More information23.1 Tuning controllers, in the large view Quoting from Section 16.7:
Lesson 23. Tuning a real ontroller - modeling, proess identifiation, fine tuning 23.0 Context We have learned to view proesses as dynami systems, taking are to identify their input, intermediate, and output
More informationA Stochastic Analysis of Liquid Mixing in Bubble Column
Amerian Journal of Fluid Dynamis 013, 3(3): 75-79 DOI: 193/j.ajfd.0130303.04 A Stohasti Analysis of Liquid Mixing in Bubble Column Rajeev Parmar, Subrata Kumar Majumder * Department of Chemial Engineering,
More informationThe casing is subjected to the following:
16.50 Leture 13 Subjet: Roket asing design; Strutural modeling Thus far all our modeling has dealt with the fluid mehanis and thermodynamis of rokets. This is appropriate beause it is these features that
More informationLATTICE BOLTZMANN METHOD FOR MICRO CHANNEL AND MICRO ORIFICE FLOWS TAIHO YEOM. Bachelor of Science in Mechanical Engineering.
LATTICE BOLTZMANN METHOD FOR MICRO CHANNEL AND MICRO ORIFICE FLOWS By TAIHO YEOM Bahelor of Siene in Mehanial Engineering Ajou University Suwon, South Korea 2005 Submitted to the Faulty of the Graduate
More informationEffect of interfacial heat transfer on the onset of oscillatory convection in liquid bridge
Effet of interfaial heat transfer on the onset of osillatory onvetion in liquid bridge Bo Xun, Kai Li, Paul G. Chen, Wen-Rui Hu To ite this version: Bo Xun, Kai Li, Paul G. Chen, Wen-Rui Hu. Effet of interfaial
More informationSTUDY OF INTERFACIAL BEHAVIOR OF CNT/POLYMER COMPOSITE BY CFE METHOD
THE 19TH INTERNATIONAL CONFERENCE ON COMPOSITE MATERIALS STUDY OF INTERFACIAL BEHAVIOR OF CNT/POLYMER COMPOSITE BY CFE METHOD Q. S. Yang*, X. Liu, L. D. Su Department of Engineering Mehanis, Beijing University
More informationHeat and Mass Transfer Unit-1 Conduction
1. State Fourier s Law of conduction. Heat and Mass Transfer Unit-1 Conduction Part-A The rate of heat conduction is proportional to the area measured normal to the direction of heat flow and to the temperature
More informationThe story so far: Isolated defects
The story so far: Infinite, periodi strutures have Bloh wave single-partile states, labeled by a wavenumber k. Translational symmetry of the lattie periodi boundary onditions give disrete allowed values
More information2 How far? Equilibrium Answers
How far? Equilibrium Answers ratie: pages 37 39 1 Answer is D. Only a hange in temperature harges the value of the equilibrium onstant. Answer is D. [B] /[A] so [B] [A] or [B] [A] 1/ 3 Answer is B. Amounts
More information