Masters Theses


"The author believes that numerical analysis is the most feasible approach to calculating the transient temperature distribution in a solid sphere subjected to various surface conditions; heat flow within the sphere is radial.

Numerical analysis is employed to arrive at a series of equations for calculating the transient temperature at selected points of a solid sphere. A study is made to determine a method for calculating temperatures with these equations; a computing device is found to be the most practical method for this purpose. The equations for temperatures at internal points of the solid sphere are general.

The equations have been adapted for use by the Royal McBee LGP-30 Digital Computer which is located in the Missouri School of Mines Computer Center. Three example problems have been programmed for the computer; the results are included in this paper. This data is graphically displayed in a series of curves depicting temperature as a function of location and time within a solid sphere.

In the example problems the author determines that the system is stable and convergent. Stability and convergence have to do with the error involved in the use of numerical analysis"--Abstract, page 2.


Miles, Aaron J.

Committee Member(s)

Lee, Ralph E., 1921-2010
Remington, Charles R., 1924-2013
Pagano, Sylvester J., 1924-2006


Mechanical and Aerospace Engineering

Degree Name

M.S. in Mechanical Engineering


Missouri School of Mines and Metallurgy

Publication Date



72 pages

Note about bibliography

Includes bibliographical references (pages 70-71).


© 1961 William H. Stocklin, All rights reserved.

Document Type

Thesis - Open Access

File Type




Subject Headings

Heat -- Transmission -- Analysis
Heat -- Transmission -- Mathematical models
Heat -- Radiation and absorption
Numerical analysis

Thesis Number

T 1341

Print OCLC #


Electronic OCLC #