"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.
Chen, T. S.
Crosbie, A. L. (Alfred L.)
Avula, Xavier J. R.
Mechanical and Aerospace Engineering
M.S. in Mechanical Engineering
University of Missouri--Rolla
xii, 85 pages
© 1970 Thomas Eldon Eaton, All rights reserved.
Thesis - Open Access
Laminar flow -- Mathematical models
Channels (Hydraulic engineering)
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Eaton, Thomas Eldon, "Magnetohydrodynamic stability of laminar flow in the entrance region of a parallel-plate channel" (1970). Masters Theses. 7170.