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Stability of parallel flows by the finite element method
Author(s) -
Saraph V. R.,
Rao B. Vasudeva,
Panikar J. T.
Publication year - 1979
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620140810
Subject(s) - hagen–poiseuille equation , galerkin method , method of mean weighted residuals , magnetohydrodynamic drive , mathematics , finite element method , reynolds number , flow (mathematics) , plane (geometry) , interpolation (computer graphics) , mathematical analysis , eigenvalues and eigenvectors , laminar flow , mechanics , geometry , physics , classical mechanics , magnetohydrodynamics , turbulence , thermodynamics , motion (physics) , plasma , quantum mechanics
This paper presents and results obtained from the stabilitystudies of plane Poiseuille flow and magnetohydrodynamic flow by the finite element method. Applying Galerkin's weighted residual method and introducing the interpolation function in the exponetial form with respect to time, the governing flow equations are reduced to an eigenvalue problem. This formulation is much simpler than that of the asymptotic expansion method. Solutions are obtained directly in terms of velocity and pressure. Results of the critical Reynolds number obtained by this method compare well with those of other methods for plane Poiseuille flow and magnetohydrodynamic flow.