%0 Journal Article %1 citeulike:14123764 %A Saraph, V. R. %A Rao, B. Vasudeva %A Panikar, J. T. %D 1979 %J International Journal for Numerical Methods in Engineering %K %N 8 %P 1257–1261 %R 10.1002/nme.1620140810 %T Stability of Parallel Flows by the Finite Element Method %U https://onlinelibrary.wiley.com/doi/abs/10.1002/nme.1620140810 %V 14 %X This paper presents and results obtained from the stability studies 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 sic 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.

@article{citeulike:14123764, abstract = {This paper presents and results obtained from the stability studies 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 [sic] 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.}, added-at = {2019-10-24T03:02:20.000+0200}, author = {Saraph, V. R. and Rao, B. Vasudeva and Panikar, J. T.}, biburl = {https://www.bibsonomy.org/bibtex/27c0f0ebe7a49a30fc72e56a47fcfd36c/gdmcbain}, citeulike-article-id = {14123764}, citeulike-linkout-0 = {http://dx.doi.org/10.1002/nme.1620140810}, doi = {10.1002/nme.1620140810}, interhash = {880511f0fe7b2695a29d45f05cdb729c}, intrahash = {7c0f0ebe7a49a30fc72e56a47fcfd36c}, issn = {0029-5981}, journal = {International Journal for Numerical Methods in Engineering}, keywords = {}, number = 8, pages = {1257–1261}, posted-at = {2016-08-26 04:51:28}, priority = {2}, timestamp = {2019-10-24T03:02:20.000+0200}, title = {{Stability of Parallel Flows by the Finite Element Method}}, url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/nme.1620140810}, volume = 14, year = 1979 }