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MECE 6333 CONDUCTION & RADIATION FALL, 2010

Instructor: D. Keith Hollingsworth Time: 2:30 - 4:00 M W

Office: N217, Building D Room: W 236-D3

Email: Hollingsworth@uh.edu

Phone: 713-743-4534

Text: A. F. Mills,Heat Transfer, 2ndEdition, Prentice Hall Inc. (available in paperback)

Course Description:

MECE 6333 is a first-semester graduate introduction to techniques for analyzing basic

problems in conduction and radiation heat transfer. The course replaces traditional

Conduction and Radiation courses; the treatment of the material must therefore be

less extensive than that of two full courses. The goal is for this course to be a gateway

into courses such as Convection and Phase-Change Heat Transfer, but it is also

accessible to students outside of thermal science who desire a first and only graduate-

level course in heat transfer.The content is divided into three sections:

1. a review of thermodynamics and an introduction to basic heat transfer concepts

2. a classical treatment of conduction

3. a classical treatment of radiation

The lectures follow the chapters ofMills dealing with elementary heat transfer (chapter

1), conduction (chapters 2 & 3), and radiation (chapter 6) and will include supplementary

material from other sources. Problems that couple both modes are of particular interest.

The treatment of convection will be limited to its use as a boundary condition.

Suggested homework problems will be assigned on-line with solutions provided. Exceptfor a few specific problems, homework will not be collected or graded. Desktop

computer resources are sufficient for computational problems. Midterm and Final exams

will be given. A tentative grade weighting is given here.

Selected Homework Assignments: 15%

Midterm Exam (through II (D) in the outline): 40%

Final Exam (II (E) & (F), radiation): 45%

Additional References (not required): A list of useful texts is attached.

Important dates: The last day to add a course is Monday, August 30. The last day to

drop a course without receiving a grade is Wednesday, Sept. 8. The last day to Withdraw

with a W is Wednesday, Nov. 3. The last day of classes is Saturday, Dec. 4.

Thanksgiving holiday is Wednesday Saturday, Nov. 24-27. The scheduled time for the

Final Exam is Monday, Dec. 13, from 2:00 pm to 5:00 pm.

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MECE 6333 CONDUCTION & RADIATION

Course Outline

MECE 6333 CONDUCTION & RADIATION

I. Introduction

A. Production bookkeeping formulation of the fundamental equations of thermal science

B. Basic concepts and constitutive equations: Fouriers law, Stefan-Boltzmann equation

C. Introduction to one-dimensional heat transfer and the thermal circuit

D. The coupled radiative and convective boundary condition

II. Conduction Heat Transfer

A. Fouriers Law as a vector equation

B. Derivation of the multi-dimensional heat conduction equation with boundary conditions

C. One-dimensional heat conduction in domains with variable cross-sectional area and

thermal energy generation

1. Steady conduction in cylindrical and spherical regions (with critical radius problem)

2. Steady conduction in fins (includes review of Bessel functions and equations)

D. Steady conduction in two and three dimensions

1. Separation of variables (includes review of orthogonal functions)

2. Conduction shape factors

E. Unsteady conduction in a semi-infinite solid (includes review of similarity solutions)

F. Moving boundary problems: solidification, melting, and ablation

G. Finite difference solution method in two dimensions

III. Radiation Heat Transfer

A. Physics of radiation: electromagnetic spectrum, properties of real surfaces

B. Radiation exchange between surfaces

1. Exchange between black surfaces

2. Radiation shape factors3. Network analogy for radiation4. Exchange between diffuse gray surfaces and through passages

C. Solar radiation: irradiation, absorptance, and transmittance

D. Directional and spectral characteristics of surface radiation

1. Isotropic radiation: Lamberts law

2. Computation of shape factors for isotropic radiation

3. Directional properties for real surfaces

4. Spectral properties

E. Radiation transfer through gases

1. The transfer equation and gas radiation properties

2. Radiative exchange between an isothermal gas and a gray enclosure

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MECE 6333 CONDUCTION & RADIATION

List of Additional References

Conduction of Heat in Solids, H. S. Carslaw, and J. C. Jaeger, 2nd Ed., 1959, Oxford

University Press. QC321.C321. The classic of analytical treatments of conduction.

Analytical Methods in Conduction Heat Transfer, G. Myers, 1971, McGraw-Hill.

QC320.M9. A very popular graduate text for a conduction-only course. There is nownewer edition available.

Heat Conduction, S. Kakac, and Y. Yener, 3rd Ed., 1993, Taylor and Francis.

QC320.K35. Good introductory material.

Conduction Heat Transfer, D. Poulikakos, 1994, Prentice-Hall. TJ260.P634. A new

graduate-level conduction text.

Radiation Heat Transfer Notes, D. K. Edwards, 1981, Hemisphere. TJ260.E318. A

concise, graduate-level set of notes on radiation heat transfer. Good discussion ofradiative properties.

Thermal Radiation Heat Transfer, R. Siegel, and J. R. Howell, 3rd Ed., 1992,

Hemisphere. QC331.5.T562. The acknowledged classic in radiation.

Thermal Radiative Transfer and Properties, M. Q. Brewster, 1992, Wiley Interscience.

A reasonably new graduate-level radiation text.

Radiative Heat Transfer, M. Modest, 1993, McGraw-Hill. QC320.M63. A new graduate-

level radiation text.

Fundamentals of Statistical and Thermal Physics, F. Reif, 1965, McGraw-Hill.

QC175.R361. Taken from a list for a similar course - could be useful.

Tabulations of Physical Properties

Thermophysical Properties of Matter, edited by Y. S. Touloukian, 14 volumes, 1970 -

1978, Purdue University Press. TA418.52.P985 REF.

Tables on the Thermophysical Properties of Liquids and Gases, N. B. Vargaftik, 2nd Ed.,

1975, Hemisphere. QC145.4.T5.V29713 REF.

The Properties of Gases and Liquids, R. C. Reid, J. M. Prausnitz, and B. E. Poling, 4th

Ed., 1987, McGraw-Hill. TP242.R4.

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MECE 6333 CONDUCTION & RADIATION

Suggested Format for Homework Problems

The format given in the introductory section in the text is a standard format used in both

undergraduate and graduate courses. I recommend that you use this format for problems

submitted in this course. I see no need for a full restatement of a text-book problem

(Problem Statement), so this section may be written very briefly or omitted.

Some words of caution concerning the Given and the Assumptions sections: students

often have trouble distinguishing between the two. Facts about the problem that can be

clearly observed from the problem statement (for example, no mass flux through a solid

surface, air is a Newtonian fluid, stated values of conductivity) are given information,

and not assumptions. Assumptions are items of information the analyst infers from the

situation. These suppositions are accepted as true without proof for the sole purpose of

moving the analysis toward a solution. Avoid the popular mistake of producing a long

list of assumptions that have nothing to do with the problem; the only assumptions that

should be listed are those that are clearly usedin the analysis.

Assignment #1

Review the Lecture on Production Bookkeeping.

Read Chapter 1. The Heat Exchangers section, pp. 37-46 may be omitted. The

Convection section is not of primary concern, but it should be read for breath.

Problem due:

A Production Bookkeeping Problem:

The Rate of Entropy Production During Conduction

Given: Heat is flowing at a rate Q through the cross-hatched body. The

energy enters through the uniform-temperature inner boundary at T1 and

exits at the outer boundary which is uniformly T2. Given that T1 T2, and

the body is in steady state, derive an expression for the rate of production

of entropy within the body in terms of Q , T1, and T2,

T2T1