Masters Theses

Abstract

"A numerical solution method is developed for the solution of two-dimensional, irrotational and compressible fluid flow problems. The partial differential equation, in terms of the velocity potential, describing the flow is replaced by finite difference equations and the resulting matrix is solved by Gaussian elimination. The method is successfully applied to two subsonic flow problems: a 7.5⁰ wedge and a 6⁰ wedge inlet. The method becomes invalid, as expected, with the appearance of sonic velocity in the flow field. An investigation of the definition of the singularities is made. This indicates that the best agreement with the experimental results for the same problem is obtained when the flow directions at the singularities are assumed to be equal to that of the wedge. Methods are postulated to remove the restraints associated with a limited field size by replacing the boundary values, after the initial solution, with values extrapolated from the flow field"--Abstract, page ii.

Advisor(s)

Howell, Ronald H. (Ronald Hunter), 1935-

Committee Member(s)

Wallace, Norval D.
Keith, Harold D. (Harold Dean), 1941-

Department(s)

Mechanical and Aerospace Engineering

Degree Name

M.S. in Propulsion and Space Engineering

Publisher

University of Missouri at Rolla

Publication Date

1968

Pagination

x, 75 pages

Note about bibliography

Includes bibliographical references.

Rights

© 1968 Edward David Spong, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Library of Congress Subject Headings

Finite differences -- Mathematical models
Fluid dynamics
Two-phase flow

Thesis Number

T 2070

Print OCLC #

5994639

Electronic OCLC #

800420784

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