"The purpose of this investigation was to obtain an expression for the steady state temperature distribution of a disk of uniform thickness rotating at a constant speed in ambient air while absorbing heat through the periphery at a constant rate. Engineers encounter such problems in connection with brakes of several varieties. The general solution obtained here could be extended to similar physical problems such as grinding wheels, disk clutches, and so on.
A differential equation was obtained for the temperature in the disk by the application of Fourier's conduction law and Newton’s convection law. A solution of this equation was obtained in the form of a Bessel function of the first kind and order zero and the constants of integration as determined by the boundary conditions "--Introduction, page 1.
Miles, Aaron J.
Muir, Clifford D.
Rankin, Rolfe M., 1892-1974
Mechanical and Aerospace Engineering
M.S. in Mechanical Engineering
Missouri School of Mines and Metallurgy
iv, 35 pages
© 1959 George Henry Morgan, All rights reserved.
Thesis - Open Access
Library of Congress Subject Headings
Heat -- Transmission
Heat -- Convection
Print OCLC #
Electronic OCLC #
Link to Catalog Recordhttp://laurel.lso.missouri.edu/record=b2610184~S5
Morgan, George Henry, "Steady state temperature distribution in a rotating disk" (1959). Masters Theses. 5555.