Summary
The effects of a magnetic field on the stability characteristics of a viscoelastic fluid flow due to the stretching sheet are investigated. A three-dimensional linear stability analysis is performed by means of the Method of Weighted Residuals for disturbances of the Taylor-Görtler type. It is found that the magnetic field exerts a stabilizing influence on the flow.
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References
Crane, L. J.: Flow past a stretching plate. J. Appl. Math. Phys. (ZAMP)21, 645–647 (1970)
Chiam, T. C.: Micropolar fluid flow over a stretching sheet. ZAMM62, 565–568 (1982).
Rajagopal, K. R., Na, T. Y., Gupta, A. S.: Flow of a viscoelastic fluid over a stretching sheet. Rheol. Acta23, 213–215 (1984).
Andersson, H. I., Dandapat, B. S.: Flow of a power-law fluid over a stretching sheet. Stability Appl. Anal. Continuous Media1, 339–347 (1991).
Dandapat, B. S., Gupta, A. S.: Flow and heat transfer in a viscoelastic fluid over a stretching sheet. Int. J. Non-Linear Mech.24, 215–219 (1989).
Andersson, H. I., Hansen, O. R.: Chemical reactions in the viscoelastic boundary layer along a stretching surface. In: Some applied problems in fluid mechanics. (Mazumdar, H. P., ed.), pp. 37–44. Calcutta: ISI 1993.
Andersson, H. I., Hansen, O. R., Holmedal, B.: Diffusion of a chemically reactive species from a stretching sheet. Int. J. Heat Mass Trans.37, 659–664 (1994).
Pavlov, K. B.: Magnetohydrodynamic flow of an incompressible viscous fluid caused by deformation of a plane surface. Magnitnaya Gidrodinamika4, 146–147 (1974).
Chakrabarti, A., Gupta, A.S.: Hydromagnetic flow and heat transfer over a stretching sheet. Q. Appl. Math.37, 73–78 (1979).
Mandal, G., Gupta, A. S., Pop, I.: Magnetohydrodynamic flow of an incompressible viscous fluid caused by the axisymmetric stretching of a plane sheet. Magnitnaya Gidrodinamika1, 10–14 (1987).
Andersson, H. I.: MHD flow of a viscoelastic fluid past a stretching surface. Acta Mech.95, 227–230 (1992).
Andersson, H. I.: An exact solution of the Navier-Stokes equations for magnetohydrodynamic flow. Acta Mech.113, 241–244 (1995).
Andersson, H. I., Bech, K. H., Dandapat, B. S.: Magnetohydrodynamic flow of a power-law fluid over a stretching sheet. Int. J. Non-Linear Mech.27, 929–936 (1992).
Bhattacharyya, S. N., Gupta, A. S.: On the linear stability of viscous flow over a stretching sheet. Q. Appl. Math.43, 359–367 (1985).
Takhar, H. S., Ali, M. A., Gupta, A. S.: Stability of magnetohydrodynamic flow over a stretching sheet. In: Liquid metal hydrodynamics (Lielpeteris J., Moreau, R., eds.) pp. 465–471. Dordrecht: Kluwer 1989.
Dandapat, B. S., Holmedal, L. E., Andersson, H. I.: Stability of flow of a viscoelastic fluid over a stretching sheet. Arch. Mech.46, 829–838 (1994).
Finlayson, B. A.: The method of weighted residuals and variational principles. New York: Academic Press 1972.
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Dandapat, B.S., Holmedal, L.E. & Andersson, H.I. On the stability of MHD flow of a viscoelastic fluid past a stretching sheet. Acta Mechanica 130, 143–146 (1998). https://doi.org/10.1007/BF01187050
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DOI: https://doi.org/10.1007/BF01187050