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 Transport Phenomena in Materials Engineering  posted by  member7_php   on 3/2/2009  Add Courseware to favorites Add To Favorites  
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Abstract/Syllabus:

Powell, Adam, 3.185 Transport Phenomena in Materials Engineering, Fall 2003. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu  (Accessed 07 Jul, 2010). License: Creative Commons BY-NC-SA

Transport Phenomena in Materials Engineering

Fall 2003

Image taken from a diagram found in the 3.185 assignment section.
Image taken from a diagram found in the 3.185 assignments section. (Image courtesy of Prof. Adam Powell IV.)

Course Highlights

This course features a full set of lecture notes, as well as assignments and exams, both of which include solutions.

» Watch a video introduction featuring the course instructor.
(RM - 56K) (RM - 80K) (RM - 220K)

Course Description

This course deals with solid-state diffusion, homogeneous and heterogeneous chemical reactions, and spinodal decomposition. Topics covered include: heat conduction in solids, convective and radiative heat transfer boundary conditions; fluid dynamics, 1-D solutions to the Navier-Stokes equations, boundary layer theory, turbulent flow, and coupling with heat conduction and diffusion in fluids to calculate heat and mass transfer coefficients.

Special Features

  • Faculty introduction video

Technical Requirements

Software to view the .tex files on this course site can be accessed via the Comprehensive TeX Archive Network (CTAN) and the TeX Users Group Web site. Microsoft® Excel software is recommended for viewing the .xls files found on this course site. Free Microsoft® Excel viewer software can also be used to view the .xls files. RealOne™ Player software is required to run the .rm files found on this course site.

*Some translations represent previous versions of courses.

Syllabus

Instructor

Adam Powell, Assistant Professor in DMSE.

Schedule

Lectures will be held three days a week for one hour. Recitations will meet two days a week for one hour. Students may attend either (or both) of the recitations.

Textbook

Welty, James, Charles E. Wicks, Robert E. Wilson, and Gregory L. Rorrer. Fundamentals of Momentum, Heat, and Mass Transfer. 4th ed. New York: John Wiley and Sons Inc., January 2000. ISBN: 9780471381495.

Optional Readings

Poirier, D. R., and G. H. Geiger. Transport Phenomena in Materials Processing. Warrendale, PA: TMS, 1994. ISBN: 9780873392723.

Incropera, Frank P., and David P. DeWitt. Introduction to Heat and Mass Transfer. New York: John Wiley & Sons Inc., July 2000. ISBN: 9780471390817.

Grading

Grades will be determined from exams and eight homework assignments as follows:

ASSIGNMENTS PERCENTAGES
Problem Sets 16%
Math Quiz 10%
Test 1 20%
Test 2 20%
Final Exam 34%

General Overview

Diffusion

This section will use a phenomenon which you have already studied extensively to introduce two of the foundation methodologies of the course. The first is coupling conservation and constitutive equations to give closed-form (partial) differential equation(s) in one or more field variables. The second is dimensional analysis, which identifies the key dimensionless parameters in a given problem and allows us to quickly characterize all of its possible solutions using as few parameters as possible. The mass transfer Biot number will be used to illustrate this process.

Heat Conduction and Radiation

This section will take advantage of the mathematical similarity between diffusion and heat conduction to introduce you to a new phenomenon. Building on the principle of conservation of thermal energy, we will introduce new solutions to the (thermal) diffusion equation, define the heat transfer Biot number, and examine conduction in a solid with moving boundaries. Heat transfer by radiation will also be covered at some length, and coupled with conduction as a boundary condition. This section will close with an introduction to convection using a moving solid as an example.

Fluid Dynamics

This section will attempt to present Newtonian and non-Newtonian fluid dynamics using principles of conservation of mass and momentum in the same methodology as was used for diffusion and heat conduction. We will present the complete Navier-Stokes equations describing fluid flow, and use them to solve problems in which flow velocity varies in just one direction. The Reynolds number will be defined and related to the transition to turbulence. Boundary layer descriptions of flow near surfaces will be developed, and used to calculate the drag force on simple bodies moving relative to a fluid. Turbulence will be described qualitatively, and modeling methods based on Reynolds stresses will be developed and related to effective turbulent viscosity and eddy length scales. Finally we will discuss overall mass and momentum balances on large control volumes.

Heat and Mass Transfer

This section will begin by applying the same large control volume methodology to thermal energy and species transport, and discuss batch/continuous reactor design in this context. It will then return to the Navier-Stokes equations, and their coupling with species diffusion and heat conduction to describe heat and mass transfer in fluids. We will calculate heat and mass transfer coefficients under steady laminar and turbulent flow conditions in simple geometries, driven both by external forces and thermal/solutal buoyancy, and discuss application to materials process engineering. At least four new dimensionless parameters will be introduced to describe all of the coupling phenomena involved.

ABET Statements for 3.185

Calendar

LEC # TOPICS
1 Introduction
Diffusion
2 1-D, Cylindrical Steady-State Diffusion
3 Homogeneous Chemical Reaction
4-5 Unsteady Diffusion
6 Boundary Conditions, Biot Number
7 Dimensional Analysis
Heat Conduction and Radiation
8 Introduction: Energy Conservation
9 Transient Dimensional Analysis, Graphs
10 Finite Differences and the Heat Equation
11 Math Quiz, Multilayer Walls
12 Moving Body (Convection)
13 Phase Change, Thermal Conductivity
14-16 Radiation Heat Transfer
17 Test 1: Diffusion and Heat Conduction (through lecture 11)
Fluid Dynamics
18 Intro, Viscosity
19-20 1-D Laminar Momentum Diffusion
21-22 Navier-Stokes Equations
23 Using the Navier-Stokes Equations
24 Drag Coefficient on a Tube, Sphere
25 Boundary Layer on a Flat Plate
26 Drag Coefficient on a Flat Plate
27-28 Turbulent Flow Phenomena
Fluid Heat and Mass Transfer
29-30 Heat/Mass Flat Plate Boundary Layer
31 Test 2: Radiation, Fluid Flow (through lecture 25)
32-33 Natural Convection, Boundary Layers
34 Stream Function, Vorticity
35 Inviscid Flow, Bernoulli Equation
36-37 Batch and Continuous Flow Reactors
38 Process Cost Modeling
39 Final Review
40 Final Exam Period



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