Masters Theses

Abstract

"Two-dimensional radiant interchange between non-isothermal, gray diffuse surfaces with non-uniform radiosity have been investigated for a cavity formed by two semi-infinite parallel plates. The problem is solved for two specific emissive power distribution models. Both emissive power distributions decay exponentially with depth into the cavity. The first emissive power distribution varies in a cosine manner across the front of the plates and the second has a step variation across the front of the plates.

For the cosine varying model, separation of variables and Ambarzumian's method are applied to obtain an integro-differential equation for the radiosity inside the cavity, an integral equation for the radiosity at the edge of the cavity and a closed form expression for the heat transfer. This is the first time Ambarzumian's method has been applied to a twodimensional radiant interchange problem. The heat transfer is obtained without determining the radiosity inside the cavity. The radiosity and heat transfer for the step varying model are expressed in closed form in terms of the results for the cosine model. Using the principle of superposition, the results for other emissive power distribution models are expressed in terms of the cosine and step models. Numerical results for the radiosity at the edge of the cavity and the heat transfer per unit width for the cosine and step models are presented in the form of tables and graphs. Also, asymptotic expansions are presented"-- Abstract, p. iii

Advisor(s)

Crosbie, A. L. (Alfred L.)

Committee Member(s)

Look, Dwight C., 1938-
Pagano, Sylvester J., 1924-2005

Department(s)

Mechanical and Aerospace Engineering

Degree Name

M.S. in Mechanical Engineering

Publisher

University of Missouri--Rolla

Publication Date

1974

Pagination

xvi, 227pages

Note about bibliography

Includes bibliographical references (pages 93-94)

Rights

© 1974 Robert David Allen, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Thesis Number

T 3089

Print OCLC #

6019563

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