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
Link to Catalog Record
Recommended Citation
Eaton, Thomas Eldon, "Magnetohydrodynamic stability of laminar flow in the entrance region of a parallel-plate channel" (1970). Masters Theses. 7170.
https://scholarsmine.mst.edu/masters_theses/7170