Masters Theses


"This investigation is a continuation of a thesis by T. S. Purewal. Several of the simplifying assumptions made by the above author are either ignored or the justifiability of such assumptions is probed into in order to obtain a more rigorous solution. Effects of the assorted grain size, non-Newtonian cooling, direction of coolant flow, thickness of the porous heat generating plate, specific heat of the coolant, and compressibility of the coolant are investigated in this thesis. Variation of maximum temperature of both coolant and the solid material for different types of heat source distribution are also studied.

As the grain size decreases heat transfer area per unit volume increases considerably. It is also observed that the temperature difference between the solid and the coolant increases as the particle size increases. It is established that the assumption of Newtonian cooling does not introduce any error in the case of a porous plate formed by very small spheres. Expressions are also derived for maximum coolant and solid temperatures under uniform, linear, exponential and sinusoidal heat source distribution. The effect of thickness of the plate on heat distribution and on the temperature of the solid and the coolant have been mathematically expressed. The specific heat of coolant fluid does affect the temperature of the coolant. Specific heats of different fluids are not equal. Even for the same fluid specific heat generally varies with temperature. How these variations affect the coolant temperature was studied and equations for different categories of heat source distribution developed. Graphs based on such equations are presented. In the case of compressible fluids higher pressures are found to be advantageous. Advantages include lower percentage pressure drop, lower figure of merit and higher mass rate of flow for same linear velocity"--Abstract, pages 2-3.


Miles, Aaron J.

Committee Member(s)

Best, John, 1925-2015
Erkiletian, Dickran Hagop, Jr.
Schaefer, Rodney A., 1926-2002


Mechanical and Aerospace Engineering

Degree Name

M.S. in Mechanical Engineering


Missouri School of Mines and Metallurgy

Publication Date



55 pages

Note about bibliography

Includes bibliographical references (pages 49-54).


© 1962 M. K. A. Hameed, All rights reserved.

Document Type

Thesis - Open Access

File Type




Subject Headings

Heat -- Transmission -- Mathematical models

Porous materials

Thesis Number

T 1406

Print OCLC #


Electronic OCLC #