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MHD flow of a viscoelastic fluid past a stretching surface. (English) Zbl 0753.76192

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 nonlinear boundary layer equation is obtained, showing that an external magnetic field has the same effect on the flow as the viscoelasticity.

MSC:

76W05 Magnetohydrodynamics and electrohydrodynamics
76A10 Viscoelastic fluids
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References:

[1] Crane, L. J.: Flow past a stretching plate. Z. Angew. Math. Phys.21, 645-647 (1970). · doi:10.1007/BF01587695
[2] Chiam, T. C.: Micropolar fluid flow over a stretching sheet. ZAMM62, 565-568 (1982). · doi:10.1002/zamm.19820621010
[3] Andersson, H. I., Dandapat, B. S.: Flow of a power-law fluid over a stretching sheet. Stability Appl. Anal. Continous Media (in press). · Zbl 0775.76216
[4] Siddappa, B., Khapate, B. S.: Rivlin-Ericksen fluid flow past a stretching plate. Rev. Roum. Sci. Techn.-Méc. Appl.21, 497-505 (1976). · Zbl 0377.76032
[5] Rajagopal, K. R., Na, T. Y., Gupta, A. S.: Flow of a viscoelastic fluid over a streching sheet. Rheol. Acta23, 213-215 (1984). · doi:10.1007/BF01332078
[6] Siddappa, B., Abel, S.: Non-Newtonian flow past a streching plate. Z. Angew. Math. Phys.36, 890-892 (1985). · Zbl 0591.76011 · doi:10.1007/BF00944900
[7] Siddappa, B., Abel, M. S.: Visco-elastic boundary layer flow past a stretching plate with suction and heat transfer. Rheol. Acta25, 319-320 (1986). · Zbl 0595.76006 · doi:10.1007/BF01357958
[8] 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). · Zbl 0619.76005 · doi:10.1007/BF00946345
[9] 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). · Zbl 0693.76015 · doi:10.1016/0020-7462(89)90040-1
[10] 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). · Zbl 0701.76012 · doi:10.1007/BF00945114
[11] Pavlov, K. B.: Magnetohydrodynamic flow of an incompressible viscous fluid caused by deformation of a plane surface. Magnitnaya Gidrodinamika4, 146-147 (1974).
[12] Sarpkaya, T.: Flow of non-Newtonian fluids in a magnetic field. AIChE J.7, 324-328 (1961). · doi:10.1002/aic.690070231
[13] Andersson, H. I., Bech, K. H., Dandapat, B. S.: Magnetohydrodynamic flow of a power-law fluid over a stretching sheet (submitted). · Zbl 0775.76216
[14] Walters, K.: The motion of an elastico-viscous liquid contained between coaxial cylinders (II). Q. J. Mech. Appl. Math.13, 444-461 (1960). · Zbl 0100.21501 · doi:10.1093/qjmam/13.4.444
[15] 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). · Zbl 0109.43307 · doi:10.1093/qjmam/15.1.63
[16] 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). · Zbl 0123.41601 · doi:10.1017/S0305004100038147
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