"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.
Lee, Ralph E., 1921-2010
Remington, Charles R., 1924-2013
Pagano, Sylvester J., 1924-2006
Mechanical and Aerospace Engineering
M.S. in Mechanical Engineering
Missouri School of Mines and Metallurgy
© 1961 William H. Stocklin, All rights reserved.
Thesis - Open Access
Library of Congress Subject Headings
Heat -- Transmission -- Analysis
Heat -- Transmission -- Mathematical models
Heat -- Radiation and absorption
Print OCLC #
Electronic OCLC #
Link to Catalog Record
Stocklin, William H., "Transient temperature distribution in solid sphere subjected to radiation heat exchange" (1961). Masters Theses. 2754.