Masters Theses


"The problem investigated in this thesis is that of unsteady state heat transfer from a hot body to a liquid, a quenching problem. Unsteady state or transient heat transfer is heat transfer in which the temperature distribution changes with time.

If a hot body was suddenly quenched in a large mass of liquid, a film of vapor would form between the hot body and the liquid. For example, if a hot body was quenched in water a film of steam would form between the hot body and the water. It is the purpose of this thesis to determine the heat transfer from the hot body to the liquid and the temperature distribution in the hot body for such a situation. In this thesis the hot body will be assumed a semi-infinite solid.

A large class of important industrial problems require the prediction of temperatures and heat transfer rates in a solid structure being heated or cooled by immersion in a large mass of fluid. Such problems are relatively common in metallurgical processes where it is necessary to estimate heating or cooling rates of large solid ingots of various shapes. This information is then used to predict the time required for such objects to attain prescribed temperature levels for purposes of melting, hot-working, heat-treatment, and the like. Heating and cooling rates are also of extreme practical interest in the canning industry where perishable canned foods are chilled by immersion; in the paper industry where wood logs are immersed in steam baths preparatory to pulping and veneer cutting; in the manufacture of bricks, glass, and rubber products; in the prediction of allowable combustion times in rocket-engine nozzles; and in the calculation of allowable acceleration rates for airborne vehicles subject to high speed transient aerodynamic heating.

The results of an analytical approach to heat conduction problems are by no means limited to heat transfer alone. Parts of the theory find application in various static and current electricity problems, gravitational problems, and the methods of development are of general application in mathematical physics.

The author chose this unsteady state heat transfer problem because of an interest in the analytical solutions of such problems, and to his knowledge, this particular problem had not been solved previously"--Introduction, pages 1-2.


Miles, Aaron J.

Committee Member(s)

Conrad, Frank H., 1902-1983
Rankin, Rolfe M., 1892-1974
Scofield, Gordon L., 1925-1986


Mechanical and Aerospace Engineering

Degree Name

M.S. in Mechanical Engineering


Missouri School of Mines and Metallurgy

Publication Date



v, 27 pages

Note about bibliography

Includes bibliographical references (page 26).


© 1959 Larry Clinton Atha, All rights reserved.

Document Type

Thesis - Open Access

File Type




Subject Headings

Heat -- Transmission -- Analysis
Heat -- Conduction

Thesis Number

T 1236

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