Masters Theses


"This thesis is a successful attempt to show a new approach to the transpiration cooling problem. Transpiration cooling has long been known as an effective way of removing heat from porous material.

It is shown here that transpiration cooling from a porous material, assuming a temperature difference between the coolant and the porous material, is less effective than where the coolant within the pores is assumed to be at the same temperature as the material adjacent to the pore. Previous investigators made the latter assumption.

The specific problem considered here is that of a uniform, porous plate with constant physical properties, receiving on one side a constant heat flux and on the other a coolant of constant physical properties flowing counter to the heat flux at a constant rate. It is further assumed that there exists a finite temperature difference between the coolant in the pores and the adjacent solid of the plate. Transient conditions are considered and they are found to be of very short duration. However, they are longer than in the case where the temperature of the solid add the coolant are assumed to be the same at a pore.

The mass flow rate, the heat flux, and the specific heat of the coolant control the maximum temperature at the surface during steady state conditions. Thus, with these constants at hand there is an effective check on the final results. However, there is no equivalent method available for checking the rate of change of the temperature curve.

The constants used in this problem are the same as those used by Herbert S. Brahinsky in a thesis in which he considered a similar problem. This was done in order to have available a method of comparison in final results.

Although the thesis, when compared with other work on the same problem, shows that there is a somewhat slower cooling process than was previously believed, the difference in time is of a matter of seconds and then only in the hotter portion of the porous plate. Therefore, this would undoubtedly be an effective cooling process.

It should be emphasized at this point that although this is a theoretical thesis with no particular application mentioned, the author's interest in the problem stems from the fact that he is preparing for the field of nuclear engineering and it is his belief that a satisfactory knowledge of effective cooling methods for the reactor field will be of prime importance in bringing about the development of reactors which will be able to compete with conventional power supplies"--Abstract, pages 2-3.


Miles, Aaron J.

Committee Member(s)

Jensen, William J.
Kerr, Richard H., 1907-1980
Wolf, Robert V., 1929-1999


Nuclear Engineering and Radiation Science

Degree Name

M.S. in Nuclear Engineering


Missouri School of Mines and Metallurgy

Publication Date



40 pages

Note about bibliography

Includes bibliographical references (pages 38-39).


© 1961 William C. Wolkenhauer, All rights reserved.

Document Type

Thesis - Open Access

File Type




Subject Headings

Heat -- Transmission -- Mathematical models
Heat -- Convection
Porous materials

Thesis Number

T 1357

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