Masters Theses

Abstract

"The hydrodynamic stability of laminar flow of an electrically conducting fluid flowing in a parallel-plate channel with an applied transverse magnetic field is investigated. The linear perturbation theory of hydrodynamic stability along with the assumption of low magnetic Reynolds number is applied to the governing equations to derive the governing rnagnetohydrodynarnic stability equation. A finite difference scheme is employed to numerically solve the magnetohydrodynamic stability equation. Neutral stability characteristics of the flow in the entrance region are obtained and presented. The neutral stability characteristics of the fully developed Hartmann flow are also re-examined and compared with those of a previous investigation which utilizes an analytical method of solution. A linearized velocity solution for developing flow is used in the stability calculations. The numerically determined neutral stability results for the fully developed Hartmann flow are in excellent agreement with those of the analytical solution. The results presented here for Hartmann flow are believed to be more accurate owing to the more exact nature of the numerical solution"--Abstract, page ii.

Advisor(s)

Chen, T. S.

Committee Member(s)

Crosbie, A. L. (Alfred L.)
Avula, Xavier J. R.

Department(s)

Mechanical and Aerospace Engineering

Degree Name

M.S. in Mechanical Engineering

Publisher

University of Missouri--Rolla

Publication Date

1970

Pagination

xii, 85 pages

Note about bibliography

Includes bibliographical references (pages 103-104).

Rights

© 1970 Thomas Eldon Eaton, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Subject Headings

Laminar flow -- Mathematical models
Magnetohydrodynamics
Channels (Hydraulic engineering)

Thesis Number

T 2495

Print OCLC #

6029422

Electronic OCLC #

869555305

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