v ( ) x (b) Using Navier-Stokes equations, derive an expression
|
|
- Rosaline Atkins
- 5 years ago
- Views:
Transcription
1 Problem 1: Microscopic Momentum Balance In sweep flow filtration (see Figure below), a pressure drop forces fluid containing particles between two porous plates and there is a transverse (cross) flow that forces the particles to collect on one of the plates. A key design question is how one determines the length of the filter. Due to the nature of the problem, the fluid inside the channel will have nonzero x and y components of velocities v and v. For the purposes of this problem you may assume that both vx and vy x y can at most be only a function of y. Suppose that the distance between the two plates is d, the fluid has viscosity µ and density ρ. Further, the transverse velocity ( vy ) at the upper porous plate is fixed at a value = V. (a) Using continuity equation, prove that v y (y) = V everywhere. (b) Using Navier-Stokes equations, derive an expression v ( ) x y. See hint below. (c) What is the average velocity of the flow in the x direction. (d) How would one determine the length of the filter? Derive an explicit expression for the same. d y dy Hint: The solution of a differential equation of the form: + α + βy = γ is given as: dx dx mx 1 mx γ 4 4 (For β 0) y= Ce 1 + Ce +,with m α + α β 1 ; m α α = = β β x γ x (For β = 0) y= C1+ Ce α + α where C1 and Care constants to be determined. V Fluid p 0 d p L (Cross Flow)
2 Problem : Macroscopic Mass Balance Calculate the Sherwood number for a sphere sublimating into a stagnant film. Sh = Dh/D where D is the sphere diameter, D is the diffusivity in air of the sphere material, and h is an overall mass transfer coefficient, defined as h = [mass loss rate per unit area]/([concentration at the surface] [bulk concentration]) (a) The differential mass balance in the stagnant film can be expressed as: 1 d dc = 0 r r dr dr Solve for the concentration profile. (b) Solve for the mass flux at the surface. (c) Solve for the Sherwood number.
3 Problem 3: Microscopic Heat Balance As depicted in the figure below, a laminated semi-infinite slab generates heat and is cooled by a convective flow. From x = 0 to x = x h, in the heated region, thermal energy is generated uniformly with a volumetric heat generation rate of S o. To the left of the heat generating region is perfect insulation with a thermal conductivity k pi = 0. On the right of the heat generating region is some normal insulation with thermal conductivity k I and just outside of this region, beyond x I, a heat convecting fluid is flowing with heat transfer coefficient h. The normal insulation cannot operate above a temperature T fail otherwise it fails and does not operate properly. The device is operated at steady-state. What is the maximum fluid temperature T f that the flowing fluid can have in order for the device to continue to operate properly and for the normal insulation to not fail?
4 Problem 4: Microscopic Mass Balance A sphere of iodine, initially having a radius, r 1, of 0.5 cm, is placed in still air at 40 C and 747 mm Hg total pressure. At this temperature, the vapor pressure of iodine is 1.03 mm Hg. Derive an expression for the pseudo-steady state rate of sublimation of the sphere into the air, and use it to estimate the rate of sublimation of the sphere in mols/hr when the sphere has a radius of 0.5 cm. The diffusion coefficient of iodine in air is cm /s, and the gas constant, R, is 8.06 cm 3 atm/(g-mol K). One atmosphere is 760 mm Hg.
5 Problem 5: Macroscopic Heat Balance A hypodermic needle with an external diameter of d 1 inches is to be used to transfer a reactant preheated to 00 F to a laboratory reactor. In an attempt to reduce the heat loss from the transfer line, the hypodermic needle is threaded through the center of a solid rubber insulating tube d inches in diameter. Calculate the rate of heat loss from the hypodermic needle with and without rubber installation. Comment on your answer. Data: The rubber installation has a thermal conductivity of 0.1 Btu/(hr Fft); the ambient temperature is 70 F; the heat transfer coefficient from the outside surface of the transfer line is primarily due to natural convection and radiation and is approximately equal to.0 Btu/(hr Fft ) independent of radius. Take d 1 = 0.01 inch Take d = 0.5 inch, 1 inch, inches
Problem 1: Microscopic Momentum Balance
Problem 1: Microscopic Momentum Balance A rectangular block of wood of size 2λ (where 2λ < 1) is present in a rectangular channel of width 1 unit. The length of the block is denoted as L and the width
More informationIntroduction to Heat and Mass Transfer. Week 12
Introduction to Heat and Mass Transfer Week 12 Next Topic Convective Heat Transfer» Heat and Mass Transfer Analogy» Evaporative Cooling» Types of Flows Heat and Mass Transfer Analogy Equations governing
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 informationModule 9: Mass Transfer Lecture 40: Analysis of Concentration Boundary Layer. The Lecture Contains: The concentration boundary layer
The Lecture Contains: The concentration boundary layer Heat and Mass Transfer Analogy Evaporate Cooling file:///d /Web%20Course%20(Ganesh%20Rana)/Dr.%20gautam%20biswas/Final/convective_heat_and_mass_transfer/lecture40/40_1.html[12/24/2014
More informationMicroscopic Momentum Balance Equation (Navier-Stokes)
CM3110 Transport I Part I: Fluid Mechanics Microscopic Momentum Balance Equation (Navier-Stokes) Professor Faith Morrison Department of Chemical Engineering Michigan Technological University 1 Microscopic
More informationPart I.
Part I bblee@unimp . Introduction to Mass Transfer and Diffusion 2. Molecular Diffusion in Gasses 3. Molecular Diffusion in Liquids Part I 4. Molecular Diffusion in Biological Solutions and Gels 5. Molecular
More informationIntroduction to Mass Transfer
Introduction to Mass Transfer Introduction Three fundamental transfer processes: i) Momentum transfer ii) iii) Heat transfer Mass transfer Mass transfer may occur in a gas mixture, a liquid solution or
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 informationIntroduction to Heat and Mass Transfer. Week 9
Introduction to Heat and Mass Transfer Week 9 補充! Multidimensional Effects Transient problems with heat transfer in two or three dimensions can be considered using the solutions obtained for one dimensional
More informationSteady-State Molecular Diffusion
Steady-State Molecular Diffusion This part is an application to the general differential equation of mass transfer. The objective is to solve the differential equation of mass transfer under steady state
More informationStudies on flow through and around a porous permeable sphere: II. Heat Transfer
Studies on flow through and around a porous permeable sphere: II. Heat Transfer A. K. Jain and S. Basu 1 Department of Chemical Engineering Indian Institute of Technology Delhi New Delhi 110016, India
More informationCENG 501 Examination Problem: Estimation of Viscosity with a Falling - Cylinder Viscometer
CENG 501 Examination Problem: Estimation of Viscosity with a Falling - Cylinder Viscometer You are assigned to design a fallingcylinder viscometer to measure the viscosity of Newtonian liquids. A schematic
More informationNumber of pages in the question paper : 06 Number of questions in the question paper : 48 Modeling Transport Phenomena of Micro-particles Note: Follow the notations used in the lectures. Symbols have their
More informationCHEN 7100 FA16 Final Exam
CHEN 7100 FA16 Final Exam Show all work and state all assumptions for full credit. The exam is closed book, notes, and homework. Only the course reader and your mind should be open. No electronic devices
More informationIntroduction to Heat and Mass Transfer. Week 5
Introduction to Heat and Mass Transfer Week 5 Critical Resistance Thermal resistances due to conduction and convection in radial systems behave differently Depending on application, we want to either maximize
More informationThe Effect Of MHD On Laminar Mixed Convection Of Newtonian Fluid Between Vertical Parallel Plates Channel
The Effect Of MH On Laminar Mixed Convection Of Newtonian Fluid Between Vertical Parallel Plates Channel Rasul alizadeh,alireza darvish behanbar epartment of Mechanic, Faculty of Engineering Science &
More informationStudy of Temperature Distribution Along the Fin Length
Heat Transfer Experiment No. 2 Study of Temperature Distribution Along the Fin Length Name of the Student: Roll No: Department of Mechanical Engineering for Women, Pune. Aim: ˆ Measuring the temperature
More informationBiological Process Engineering An Analogical Approach to Fluid Flow, Heat Transfer, and Mass Transfer Applied to Biological Systems
Biological Process Engineering An Analogical Approach to Fluid Flow, Heat Transfer, and Mass Transfer Applied to Biological Systems Arthur T. Johnson, PhD, PE Biological Resources Engineering Department
More informationTable of Contents. Foreword... xiii. Preface... xv
Table of Contents Foreword.... xiii Preface... xv Chapter 1. Fundamental Equations, Dimensionless Numbers... 1 1.1. Fundamental equations... 1 1.1.1. Local equations... 1 1.1.2. Integral conservation equations...
More informationTransient Heat Transfer Experiment. ME 331 Introduction to Heat Transfer. June 1 st, 2017
Transient Heat Transfer Experiment ME 331 Introduction to Heat Transfer June 1 st, 2017 Abstract The lumped capacitance assumption for transient conduction was tested for three heated spheres; a gold plated
More informationFORMULA SHEET. General formulas:
FORMULA SHEET You may use this formula sheet during the Advanced Transport Phenomena course and it should contain all formulas you need during this course. Note that the weeks are numbered from 1.1 to
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 informationIncrease Productivity Using CFD Analysis
Increase Productivity Using CFD Analysis CFD of Process Engineering Plants for Performance Estimation and Redesign Vinod Taneja Vidhitech Solutions Abhishek Jain abhishek@zeusnumerix.com +91 9819009836
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 information2 Navier-Stokes Equations
1 Integral analysis 1. Water enters a pipe bend horizontally with a uniform velocity, u 1 = 5 m/s. The pipe is bended at 90 so that the water leaves it vertically downwards. The input diameter d 1 = 0.1
More informationIV. Transport Phenomena Lecture 18: Forced Convection in Fuel Cells II
IV. Transport Phenomena Lecture 18: Forced Convection in Fuel Cells II MIT Student (and MZB) As discussed in the previous lecture, we are interested in forcing fluid to flow in a fuel cell in order to
More informationLecture 30 Review of Fluid Flow and Heat Transfer
Objectives In this lecture you will learn the following We shall summarise the principles used in fluid mechanics and heat transfer. It is assumed that the student has already been exposed to courses in
More informationMass Transfer Operations I Prof. Bishnupada Mandal Department of Chemical Engineering Indian Institute of Technology, Guwahati
Mass Transfer Operations I Prof. Bishnupada Mandal Department of Chemical Engineering Indian Institute of Technology, Guwahati Module - 2 Mass Transfer Coefficient Lecture - 4 Boundary Layer Theory and
More informationReaction and Diffusion in a Porous Catalyst Pellet. by Richard K. Herz
Reaction and Diffusion in a Porous Catalyst Pellet by Richard K. Herz Solid catalysts are often called "heterogeneous catalysts" meaning that they are in a different phase from fluid reactants
More informationParallel Plate Heat Exchanger
Parallel Plate Heat Exchanger Parallel Plate Heat Exchangers are use in a number of thermal processing applications. The characteristics are that the fluids flow in the narrow gap, between two parallel
More informationINDIAN INSTITUTE OF TECHNOOGY, KHARAGPUR Date: -- AN No. of Students: 5 Sub. No.: ME64/ME64 Time: Hours Full Marks: 6 Mid Autumn Semester Examination Sub. Name: Convective Heat and Mass Transfer Instructions:
More informationIf there is convective heat transfer from outer surface to fluid maintained at T W.
Heat Transfer 1. What are the different modes of heat transfer? Explain with examples. 2. State Fourier s Law of heat conduction? Write some of their applications. 3. State the effect of variation of temperature
More informationUnsteady Magnetohydrodynamic Free Convective Flow Past a Vertical Porous Plate
International Journal of Applied Science and Engineering 2013. 11, 3: 267-275 Unsteady Magnetohydrodynamic Free Convective Flow Past a Vertical Porous Plate Murali Gundagania,*, Sivaiah Sheria, Ajit Paulb,
More informationTransport processes. 7. Semester Chemical Engineering Civil Engineering
Transport processes 7. Semester Chemical Engineering Civil Engineering 1 Course plan 1. Elementary Fluid Dynamics 2. Fluid Kinematics 3. Finite Control Volume nalysis 4. Differential nalysis of Fluid Flow
More informationConvection. forced convection when the flow is caused by external means, such as by a fan, a pump, or atmospheric winds.
Convection The convection heat transfer mode is comprised of two mechanisms. In addition to energy transfer due to random molecular motion (diffusion), energy is also transferred by the bulk, or macroscopic,
More informationPhysical & Interfacial Electrochemistry 2013.
Physical & Interfacial Electrochemistry 13. Lecture 8 Hydrodynamic Voltammetry Hydrodynamic voltammetry Hydrodynamic voltammetry deals with voltammetric measurements conducted under conditions where there
More informationUniversity of Macau Department of Electromechanical Engineering MECH316 Heat Transfer Syllabus 2 nd Semester 2011/2012 Part A Course Outline
University of Macau Department of Electromechanical Engineering MECH316 Heat Transfer Syllabus 2 nd Semester 2011/2012 Part A Course Outline Compulsory course in Electromechanical Engineering Course description:
More informationThe effect of Entry Region on Thermal Field
The effect of Entry Region on Thermal Field Flow Fractionation Nick Cox Supervised by Professor Bruce Finlayson University of Washington Department of Chemical Engineering June 6, 2007 Abstract Achieving
More informationDifferential equations of mass transfer
Differential equations of mass transfer Definition: The differential equations of mass transfer are general equations describing mass transfer in all directions and at all conditions. How is the differential
More informationMODULE 3: MASS TRANSFER COEFFICIENTS
MODULE 3: MASS TRANSFER COEFFICIENTS LECTURE NO. 4 3.4.3 Correlation of mass transfer coefficients for single cylinder Bedingfield and Drew (1950) studied the sublimation from a solid cylinder into air
More informationFundamentals of Transport Processes Prof. Kumaran Indian Institute of Science, Bangalore Chemical Engineering
Fundamentals of Transport Processes Prof. Kumaran Indian Institute of Science, Bangalore Chemical Engineering Module No # 05 Lecture No # 25 Mass and Energy Conservation Cartesian Co-ordinates Welcome
More informationSimulation of Free Convection with Conjugate Heat Transfer
Simulation of Free Convection with Conjugate Heat Transfer Hong Xu, Chokri Guetari, Kurt Svihla ANSYS, Inc. Abstract This study focuses on free convective and conjugate heat transfer in a naturally ventilated,
More informationPhysical & Interfacial Electrochemistry Lecture 8 Hydrodynamic Voltammetry
Physical & Interfacial Electrochemistry 2013. Lecture 8 Hydrodynamic Voltammetry Hydrodynamic voltammetry Hydrodynamic voltammetry deals with voltammetric measurements conducted under conditions where
More informationFall 2014 Qualifying Exam Thermodynamics Closed Book
Fall 2014 Qualifying Exam Thermodynamics Closed Book Saturated ammonia vapor at 200 O F flows through a 0.250 in diameter tube. The ammonia passes through a small orifice causing the pressure to drop very
More informationChemical and Biomolecular Engineering 150A Transport Processes Spring Semester 2017
Chemical and Biomolecular Engineering 150A Transport Processes Spring Semester 2017 Objective: Text: To introduce the basic concepts of fluid mechanics and heat transfer necessary for solution of engineering
More informationConvection Heat Transfer. Introduction
Convection Heat Transfer Reading Problems 12-1 12-8 12-40, 12-49, 12-68, 12-70, 12-87, 12-98 13-1 13-6 13-39, 13-47, 13-59 14-1 14-4 14-18, 14-24, 14-45, 14-82 Introduction Newton s Law of Cooling Controlling
More informationMECH 375, Heat Transfer Handout #5: Unsteady Conduction
1 MECH 375, Heat Transfer Handout #5: Unsteady Conduction Amir Maleki, Fall 2018 2 T H I S PA P E R P R O P O S E D A C A N C E R T R E AT M E N T T H AT U S E S N A N O PA R T I - C L E S W I T H T U
More information10.52 Mechanics of Fluids Spring 2006 Problem Set 3
10.52 Mechanics of Fluids Spring 2006 Problem Set 3 Problem 1 Mass transfer studies involving the transport of a solute from a gas to a liquid often involve the use of a laminar jet of liquid. The situation
More informationBiotransport: Principles
Robert J. Roselli Kenneth R. Diller Biotransport: Principles and Applications 4 i Springer Contents Part I Fundamentals of How People Learn (HPL) 1 Introduction to HPL Methodology 3 1.1 Introduction 3
More informationHeat and Mass Transfer
1 Comments on six papers published by S.P. Anjali Devi and R. Kandasamy in Heat and Mass Transfer, ZAMM, Mechanics Research Communications, International Communications in Heat and Mass Transfer, Communications
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 informationMIXED CONVECTION OF NEWTONIAN FLUID BETWEEN VERTICAL PARALLEL PLATES CHANNEL WITH MHD EFFECT AND VARIATION IN BRINKMAN NUMBER
Bulletin of Engineering Tome VII [14] ISSN: 67 389 1. Rasul ALIZADEH,. Alireza DARVISH BAHAMBARI, 3. Komeil RAHMDEL MIXED CONVECTION OF NEWTONIAN FLUID BETWEEN VERTICAL PARALLEL PLATES CHANNEL WITH MHD
More informationMechanical Engineering. Postal Correspondence Course HEAT TRANSFER. GATE, IES & PSUs
Heat Transfer-ME GATE, IES, PSU 1 SAMPLE STUDY MATERIAL Mechanical Engineering ME Postal Correspondence Course HEAT TRANSFER GATE, IES & PSUs Heat Transfer-ME GATE, IES, PSU 2 C O N T E N T 1. INTRODUCTION
More informationShell Balances in Fluid Mechanics
Shell Balances in Fluid Mechanics R. Shankar Subramanian Department of Chemical and Biomolecular Engineering Clarkson University When fluid flow occurs in a single direction everywhere in a system, shell
More informationDiv. 1 Div. 2 Div. 3 Div.4 8:30 am 9:30 pm 12:30 pm 3:30 pm Han Xu Ruan Pan
Write Down Your NAME, Last First Circle Your DIVISION Div. 1 Div. 2 Div. 3 Div.4 8:30 am 9:30 pm 12:30 pm 3:30 pm Han Xu Ruan Pan ME315 - Heat and Mass Transfer School of Mechanical Engineering Purdue
More informationThe University of the West Indies, St. Augustine, Trinidad and Tobago. The University of the West Indies, St. Augustine, Trinidad and Tobago
Unsteady MHD Free Convection Couette Flow Through a Vertical Channel in the Presence of Thermal Radiation With Viscous and Joule Dissipation Effects Using Galerkin's Finite Element Method Victor M. Job
More informationHeat source/sink and thermal conductivity effects on micropolar nanofluid flow over a MHD radiative stretching surface
Heat source/sink and thermal conductivity effects on micropolar nanofluid flow over a MHD radiative stretching surface Srinivas Maripala 1 and Kishan Naikoti 2 1Department of mathematics, Sreenidhi Institute
More informationNonlinear Analysis: Modelling and Control, 2008, Vol. 13, No. 4,
Nonlinear Analysis: Modelling and Control, 2008, Vol. 13, No. 4, 513 524 Effects of Temperature Dependent Thermal Conductivity on Magnetohydrodynamic (MHD) Free Convection Flow along a Vertical Flat Plate
More informationChapter 2 Mass Transfer Coefficient
Chapter 2 Mass Transfer Coefficient 2.1 Introduction The analysis reported in the previous chapter allows to describe the concentration profile and the mass fluxes of components in a mixture by solving
More informationBasic Fluid Mechanics
Basic Fluid Mechanics Chapter 3B: Conservation of Mass C3B: Conservation of Mass 1 3.2 Governing Equations There are two basic types of governing equations that we will encounter in this course Differential
More informationConvective Vaporization and Burning of Fuel Droplet Arrays
Convective Vaporization and Burning of Fuel Droplet Arrays Guang Wu and William A. Sirignano Mechanical & Aerospace Engineering University of California, Irvine May 19, 2009 Background and Task In many
More informationTheoretical Developments in Group Combustion of Droplets and Sprays
Theoretical Developments in Group Combustion of Droplets and Sprays William A. Sirignano University of California, Irvine Collaborations: Guang Wu, current student; Randall Imaoka, former student, US Navy;
More informationHomework #4 Solution. μ 1. μ 2
Homework #4 Solution 4.20 in Middleman We have two viscous liquids that are immiscible (e.g. water and oil), layered between two solid surfaces, where the top boundary is translating: y = B y = kb y =
More informationTo study the motion of a perfect gas, the conservation equations of continuity
Chapter 1 Ideal Gas Flow The Navier-Stokes equations To study the motion of a perfect gas, the conservation equations of continuity ρ + (ρ v = 0, (1.1 momentum ρ D v Dt = p+ τ +ρ f m, (1.2 and energy ρ
More information2. Modeling of shrinkage during first drying period
2. Modeling of shrinkage during first drying period In this chapter we propose and develop a mathematical model of to describe nonuniform shrinkage of porous medium during drying starting with several
More informationEffect of Gas Flow Rate and Gas Composition in Ar/CH 4 Inductively Coupled Plasmas
COMSOL CONFERENCE BOSTON 2011 Effect of Gas Flow Rate and Gas Composition in Ar/CH 4 Inductively Coupled Plasmas Keisoku Engineering System Co., Ltd., JAPAN Dr. Lizhu Tong October 14, 2011 1 Contents 1.
More informationINTRODUCTION TO FLUID MECHANICS June 27, 2013
INTRODUCTION TO FLUID MECHANICS June 27, 2013 PROBLEM 3 (1 hour) A perfect liquid of constant density ρ and constant viscosity µ fills the space between two infinite parallel walls separated by a distance
More informationPHYSICAL MECHANISM OF NATURAL CONVECTION
1 NATURAL CONVECTION In this chapter, we consider natural convection, where any fluid motion occurs by natural means such as buoyancy. The fluid motion in forced convection is quite noticeable, since a
More informationConsider a volume Ω enclosing a mass M and bounded by a surface δω. d dt. q n ds. The Work done by the body on the surroundings is
The Energy Balance Consider a volume enclosing a mass M and bounded by a surface δ. δ At a point x, the density is ρ, the local velocity is v, and the local Energy density is U. U v The rate of change
More informationInterpreting Differential Equations of Transport Phenomena
Interpreting Differential Equations of Transport Phenomena There are a number of techniques generally useful in interpreting and simplifying the mathematical description of physical problems. Here we introduce
More informationELEC9712 High Voltage Systems. 1.2 Heat transfer from electrical equipment
ELEC9712 High Voltage Systems 1.2 Heat transfer from electrical equipment The basic equation governing heat transfer in an item of electrical equipment is the following incremental balance equation, with
More informationC ONTENTS CHAPTER TWO HEAT CONDUCTION EQUATION 61 CHAPTER ONE BASICS OF HEAT TRANSFER 1 CHAPTER THREE STEADY HEAT CONDUCTION 127
C ONTENTS Preface xviii Nomenclature xxvi CHAPTER ONE BASICS OF HEAT TRANSFER 1 1-1 Thermodynamics and Heat Transfer 2 Application Areas of Heat Transfer 3 Historical Background 3 1-2 Engineering Heat
More informationPrinciples of Convective Heat Transfer
Massoud Kaviany Principles of Convective Heat Transfer Second Edition With 378 Figures Springer Contents Series Preface Preface to the Second Edition Preface to the First Edition Acknowledgments vii ix
More informationInternational Journal of Engineering & Technology IJET-IJENS Vol:18 No:03 1
International Journal of Engineering & Technology IJET-IJENS Vol:18 No:03 1 Analytical Derivation of Diffusio-osmosis Electric Potential and Velocity Distribution of an Electrolyte in a Fine Capillary
More informationNotes on reaction-diffusion cases with effectiveness factors greater than one! Richard K. Herz,
Notes on reaction-diffusion cases with effectiveness factors greater than one! Richard K. Herz, rherz@ucsd.edu For isothermal n-th order reactions where n >= 0, the catalyst effectiveness factor value
More informationENTROPY GENERATION OF CONVECTION HEAT TRANSFER IN AN ASYMMETRICALLY HEATED PACKED DUCT
University of Nebraska - Lincoln From the SelectedWorks of YASAR DEMIREL 1997 ENTROPY GENERATION OF CONVECTION HEAT TRANSFER IN AN ASYMMETRICALLY HEATED PACKED DUCT YASAR DEMIREL H.H. Ali B.A. Abu-Al-Saud
More informationENTROPY GENERATION IN HEAT AND MASS TRANSFER IN POROUS CAVITY SUBJECTED TO A MAGNETIC FIELD
HEFAT 9 th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics 6 8 July Malta ENTROPY GENERATION IN HEAT AND MASS TRANSFER IN POROUS CAVITY SUBJECTED TO A MAGNETIC FIELD Nawaf
More informationNumerical Study of Steady MHD Plane Poiseuille Flow and Heat Transfer in an Inclined Channel
Numerical Study of Steady MHD Plane Poiseuille Flow and Heat Transfer in an Inclined Channel Muhim Chutia Department of Mathematics, Mariani College, Assam-785634, India ABSTRACT: In this paper, a numerical
More informationCONVECTIVE HEAT TRANSFER
CONVECTIVE HEAT TRANSFER Mohammad Goharkhah Department of Mechanical Engineering, Sahand Unversity of Technology, Tabriz, Iran CHAPTER 5 NATURAL CONVECTION HEAT TRANSFER BASIC CONCEPTS MECHANISM OF NATURAL
More information10.34 Numerical Methods Applied to Chemical Engineering Fall Homework #6: Boundary Value Problems (BVPs)
1.34 Numerical Methods Applied to Chemical Engineering Fall 15 Homework #6: Boundary Value Problems BVPs Problem 1. 1 points Most entropies of gas phase molecules tabulated in databases were not directly
More informationc. The Grashof number is the ratio of buoyant forces to viscous forces acting on a fluid.
QUESTION 1. (0 pts) With respect to free convection: a. What is an extensive, quiescent fluid? (4 points) b. What are the two major physical considerations or forces for free convection? (4 points) c.
More informationThermal Analysis Contents - 1
Thermal Analysis Contents - 1 TABLE OF CONTENTS 1 THERMAL ANALYSIS 1.1 Introduction... 1-1 1.2 Mathematical Model Description... 1-3 1.2.1 Conventions and Definitions... 1-3 1.2.2 Conduction... 1-4 1.2.2.1
More informationOptimization of DPF Structures with a 3D-Unit Cell Model
Optimization of DPF Structures with a 3D-Unit Cell Model Wieland Beckert, Marcel Dannowski, Lisabeth Wagner, Jörg Adler, Lars Mammitzsch Fraunhofer IKTS, Dresden, Germany *Corresponding author: FhG IKTS,
More informationTransfer Equations: An Attempt to Pose an Optimization Problem. Project for CE291 Henry Kagey
Transfer Equations: An Attempt to Pose an Optimization Problem Project for CE291 Henry Kagey Background System Solar Disinfection of Greywater The goal of this study is to define the mass transfer in a
More informationNatural convection heat transfer around a horizontal circular cylinder near an isothermal vertical wall
Natural convection heat transfer around a horizontal circular cylinder near an isothermal vertical wall Marcel Novomestský 1, Richard Lenhard 1, and Ján Siažik 1 1 University of Žilina, Faculty of Mechanical
More informationHEAT TRANSFER. PHI Learning PfcO too1. Principles and Applications BINAY K. DUTTA. Delhi Kolkata. West Bengal Pollution Control Board
HEAT TRANSFER Principles and Applications BINAY K. DUTTA West Bengal Pollution Control Board Kolkata PHI Learning PfcO too1 Delhi-110092 2014 Contents Preface Notations ix xiii 1. Introduction 1-8 1.1
More informationSoft Bodies. Good approximation for hard ones. approximation breaks when objects break, or deform. Generalization: soft (deformable) bodies
Soft-Body Physics Soft Bodies Realistic objects are not purely rigid. Good approximation for hard ones. approximation breaks when objects break, or deform. Generalization: soft (deformable) bodies Deformed
More informationChapter 3: Newtonian Fluids
Chapter 3: Newtonian Fluids CM4650 Michigan Tech Navier-Stokes Equation v vv p t 2 v g 1 Chapter 3: Newtonian Fluid TWO GOALS Derive governing equations (mass and momentum balances Solve governing equations
More informationHEAT AND MASS TRANSFER. List of Experiments:
HEAT AND MASS TRANSFER List of Experiments: Conduction Heat Transfer Unit 1. Investigation of Fourier Law for linear conduction of heat along a simple bar. 2. Study the conduction of heat along a composite
More informationTheories for Mass Transfer Coefficients
Mass Transfer Theories for Mass Transfer Coefficients Lecture 9, 5..7, r. K. Wegner 9. Basic Theories for Mass Transfer Coefficients Aim: To find a theory behind the empirical mass-transfer correlations
More informationCHAPTER 4 ANALYTICAL SOLUTIONS OF COUPLE STRESS FLUID FLOWS THROUGH POROUS MEDIUM BETWEEN PARALLEL PLATES WITH SLIP BOUNDARY CONDITIONS
CHAPTER 4 ANALYTICAL SOLUTIONS OF COUPLE STRESS FLUID FLOWS THROUGH POROUS MEDIUM BETWEEN PARALLEL PLATES WITH SLIP BOUNDARY CONDITIONS Introduction: The objective of this chapter is to establish analytical
More informationExam One Solutions. Problem 1 (25 points): answers without work shown will not be given any credit.
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 8.02 Spring 2014 Exam One Solutions Problem 1 (25 points): answers without work shown will not be given any credit. Four point-like objects of
More informationSolution of Partial Differential Equations
Solution of Partial Differential Equations Introduction and Problem Statement Combination of Variables R. Shankar Subramanian We encounter partial differential equations routinely in transport phenomena.
More informationIntroduction to Heat and Mass Transfer. Week 10
Introduction to Heat and Mass Transfer Week 10 Concentration Boundary Layer No concentration jump condition requires species adjacent to surface to have same concentration as at the surface Owing to concentration
More informationIntroduction to Heat and Mass Transfer. Week 7
Introduction to Heat and Mass Transfer Week 7 Example Solution Technique Using either finite difference method or finite volume method, we end up with a set of simultaneous algebraic equations in terms
More informationCFD Analysis of Forced Convection Flow and Heat Transfer in Semi-Circular Cross-Sectioned Micro-Channel
CFD Analysis of Forced Convection Flow and Heat Transfer in Semi-Circular Cross-Sectioned Micro-Channel *1 Hüseyin Kaya, 2 Kamil Arslan 1 Bartın University, Mechanical Engineering Department, Bartın, Turkey
More informationFINITE-VOLUME SOLUTION OF DIFFUSION EQUATION AND APPLICATION TO MODEL PROBLEMS
IJRET: International Journal of Research in Engineering and Technology eissn: 39-63 pissn: 3-738 FINITE-VOLUME SOLUTION OF DIFFUSION EQUATION AND APPLICATION TO MODEL PROBLEMS Asish Mitra Reviewer: Heat
More informationNumerical Study on Unsteady Free Convection and Mass Transfer Flow past a Vertical Porous Plate
Numerical Study on Unsteady Free Convection and Mass Transfer Flow past a Vertical Porous Plate S. F. Ahmmed Mathematics Discipline Khulna University, Bangladesh.. R. Ahmed Mathematics Discipline Khulna
More informationMA3D1 Fluid Dynamics Support Class 5 - Shear Flows and Blunt Bodies
MA3D1 Fluid Dynamics Support Class 5 - Shear Flows and Blunt Bodies 13th February 2015 Jorge Lindley email: J.V.M.Lindley@warwick.ac.uk 1 2D Flows - Shear flows Example 1. Flow over an inclined plane A
More informationHeat and Mass Transfer Prof. S.P. Sukhatme Department of Mechanical Engineering Indian Institute of Technology, Bombay
Heat and Mass Transfer Prof. S.P. Sukhatme Department of Mechanical Engineering Indian Institute of Technology, Bombay Lecture No. 18 Forced Convection-1 Welcome. We now begin our study of forced convection
More information