Steady state temperature distribution in a rotating disk

Author

George Henry Morgan

Abstract

"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.

Advisor(s)

Miles, Aaron J.

Committee Member(s)

Muir, Clifford D.
Rankin, Rolfe M., 1892-1974

Department(s)

Mechanical and Aerospace Engineering

Degree Name

M.S. in Mechanical Engineering

Publisher

Missouri School of Mines and Metallurgy

Publication Date

1959

Pagination

iv, 35 pages

Note about bibliography

Includes bibliographical references (page 33).

Rights

© 1959 George Henry Morgan, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Subject Headings

Heat -- TransmissionDisks, RotatingHeat -- Convection

Thesis Number

T 1224

Print OCLC #

5927863

Electronic OCLC #

915947334

Recommended Citation

Morgan, George Henry, "Steady state temperature distribution in a rotating disk" (1959). Masters Theses. 5555.
https://scholarsmine.mst.edu/masters_theses/5555