Summary
The flow of a viscoelastic fluid past a stretching sheet in the presence of a transverse magnetic field is considered. An exact analytical solution of the governing non-linear boundary layer equation is obtained, showing that an external magnetic field has the same effect on the flow as the viscoelasticity.
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References
Crane, L. J.: Flow past a stretching plate. Z. Angew. Math. Phys.21, 645–647 (1970).
Chiam, T. C.: Micropolar fluid flow over a stretching sheet. ZAMM62, 565–568 (1982).
Andersson, H. I., Dandapat, B. S.: Flow of a power-law fluid over a stretching sheet. Stability Appl. Anal. Continous Media (in press).
Siddappa, B., Khapate, B. S.: Rivlin-Ericksen fluid flow past a stretching plate. Rev. Roum. Sci. Techn.-Méc. Appl.21, 497–505 (1976).
Rajagopal, K. R., Na, T. Y., Gupta, A. S.: Flow of a viscoelastic fluid over a streching sheet. Rheol. Acta23, 213–215 (1984).
Siddappa, B., Abel, S.: Non-Newtonian flow past a streching plate. Z. Angew. Math. Phys.36, 890–892 (1985).
Siddappa, B., Abel, M. S.: Visco-elastic boundary layer flow past a stretching plate with suction and heat transfer. Rheol. Acta25, 319–320 (1986).
Bujurke, N. M., Biradar, S. N., Hiremath, P. S.: Second-order fluid flow past a stretching sheet with heat transfer. Z. Angew. Math. Phys.38, 653–657 (1987).
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).
Ahmad, N., Patel, G. S., Siddappa, B.: Visco-elastic boundary layer flow past a stretching plate and heat transfer. Z. Angew. Math. Phys.41, 294–298 (1990).
Pavlov, K. B.: Magnetohydrodynamic flow of an incompressible viscous fluid caused by deformation of a plane surface. Magnitnaya Gidrodinamika4, 146–147 (1974).
Sarpkaya, T.: Flow of non-Newtonian fluids in a magnetic field. AIChE J.7, 324–328 (1961).
Andersson, H. I., Bech, K. H., Dandapat, B. S.: Magnetohydrodynamic flow of a power-law fluid over a stretching sheet (submitted).
Walters, K.: The motion of an elastico-viscous liquid contained between coaxial cylinders (II). Q. J. Mech. Appl. Math.13, 444–461 (1960).
Walters, K.: Non-Newtonian effects in some elastico-viscous liquids whose behavior at small rates of shear is characterized by a general linear equation of state. Q. J. Mech. Appl. Math.15, 63–76 (1962).
Beard, D. W., Walters, K.: Elastico-viscous boundary-layer flows. I. Two-dimensional flow near a stagnation point. Proc. Camb. Phil. Soc.60, 667–674 (1964).
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Andersson, H.I. MHD flow of a viscoelastic fluid past a stretching surface. Acta Mechanica 95, 227–230 (1992). https://doi.org/10.1007/BF01170814
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DOI: https://doi.org/10.1007/BF01170814