The application of the relaxation method to the solution of problems involving the flow of gases through porous media

Author

Ralph Davis

Abstract

"The purpose of this investigation is to determine the feasibility of applying the relaxation method of mathematical analysis to the solution of problems involving the flow of gases through porous media. The relaxation method was first applied to two-dimensional problems by Christopherson and Southwell, who applied it to problems in stress analysis. It was later applied to steady-state heat conduction problems by H. W. Emmons and to steady-state flow of incompressible liquids by A. A. Zwierschowski. The solutions of problems involving the flow of gases through porous media is difficult for all but the simplest boundary conditions, and impractical for many conditions, when the usual analytical means are employed. Consequently, the need for alternative methods of solution is evident"--Preface, page ii-iii.

Advisor(s)

Miles, Aaron J.

Department(s)

Mechanical and Aerospace Engineering

Degree Name

M.S. in Mechanical Engineering

Publisher

Missouri School of Mines and Metallurgy

Publication Date

1949

Pagination

vii, 36 pages

Note about bibliography

Includes bibliographical references (pages 67-69).

Rights

© 1949 Ralph Davis, Jr., All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Subject Headings

Gas flow -- Mathematical modelsPorous materials -- Mechanical propertiesRelaxation methods (Mathematics)

Thesis Number

T 869

Print OCLC #

5980304

Electronic OCLC #

742419324

Recommended Citation

Davis, Ralph, "The application of the relaxation method to the solution of problems involving the flow of gases through porous media" (1949). Masters Theses. 6803.
https://scholarsmine.mst.edu/masters_theses/6803