Heat Transfer Qualifying Exam Study Material

The candidate is expected to have a thorough understanding of undergraduate engineering heat transfer topics. These topics are listed below for clarification. Not all instructors cover exactly the same material during a course, thus it is important for the candidate to closely examine the subject areas listed below. The textbooks listed below are a good source for the review and study of a majority of the listed topics. One final note, the example problems made available to the candidates are from past exams and do not cover all subject material. These problems are not to be used as the only source of study material. The topics listed below should be your guide for what you are responsible for knowing. Suggested textbook: Fundamentals of Heat and Mass Transfer, 5th Ed., Frank Incropera and David Dewitt,

(John Wiley & Sons, pub.) Heat Transfer, Adrian Bejan, (John Wiley & Sons, pub.) Principles of Heat Transfer, 6th Ed., Frank Kreith and Mark Bohn, (Brooks/Cole, pub.) Heat Transfer, 7th Ed., J. P. Holman, (McGraw Hill, pub.) Topic areas:

1. Steady-state isotropic conduction in one, two, and three dimensions. Coordinate systems include Cartesian, cylindrical, and spherical.

a. Solution techniques for ODE’s and PDE’s including separation-of-variables and finite differences.

2. Transient isotropic conduction in one, two, and three dimensions.

3. Convection theory a. Boundary layers (laminar and turbulent) b. Reynolds analogy

4. Convection application a. External and internal flow calculations using Nusselt number corrections

5. Natural (free) convection a. Solution of problems using Nusselt number corrections b. Combined free and forced convection calculations

6. Boiling and Condensation heat transfer a. Boiling modes b. Boiling correlations c. Film condensation on a vertical plate

7. Heat Exchangers a. Solution of problems using NTU-Effectiveness relations b. Log mean temperature difference method

8. Radiation a. Process and properties b. Exchange between black or gray surfaces

Qualifying Exam Spring 2003 Heat Transfer

This portion of the qualifying exam is closed book. Work all three problems. Problem 1: A solid sphere with surface temperature maintained for a very long time at Ts = 1 at the outer radius Ro = 2, has internal heat generation that is a function of radius. For the following two cases of internal heat generation, find the value of the temperature at the center of the sphere:

Case 1: r/kq =&

Case 2: 2r/kq =&

where k is the thermal conductivity in both cases. Problem 2: Steady state temperature at two nodal points of a long square rod are as shown. There is no internal heat generation in the rod. Three of its sides are maintained at a constant temperature of 300 K. One of its sides is subjected to a constant heat flux of 105 W/m2. The thermal conductivity of the rod is 10 W/mK. Estimate the temperature at these two nodal points.

Problem 3: Experiments on fluid flow in the entry region of a specially designed pipe reveal that the fluid temperature near the pipe wall may be described by the following functional form:

)Ey1(DCxBx

A)y,x(Tf −+++

=

The distance from the pipe inlet is x, the distance from the pipe wall is y. The mean, or bulk, temperature of the fluid may be described by the following functional form:

GxF)x(Tm += Knowing that A through G are fitting constants, determine an expression for the local heat transfer coefficient, h.

Qualifying Exam Spring 1996 Heat Transfer

This portion of the qualifying exam is open book. Work two of the three problems

Qualifying Exam Spring 1995 Heat Transfer

This portion of the qualifying exam is open book. Work all three problems

Qualifying Exam Spring 1994 Heat Transfer

This portion of the qualifying exam is closed book. Work all four problems

Qualifying Exam Spring 1992 Heat Transfer

This portion of the qualifying exam is closed book. Work all three problems

Qualifying Exam Spring 1991 Heat Transfer

This portion of the qualifying exam is open book. Work all three problems

Qualifying Exam Miscellaneous Heat Transfer