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Slip flow past a stretching surface. (English) Zbl 1013.76020

Summary: We consider the slip-flow of Newtonian fluid past a linearly stretching sheet. The partial slip is controlled by a dimensionless slip factor which varies between zero (total adhesion) and infinity (full slip). An exact analytical solution of the governing Navier-Stokes equations is found, which is formally valid for all Reynolds numbers.

MSC:

76D05 Navier-Stokes equations for incompressible viscous fluids
76M55 Dimensional analysis and similarity applied to problems in fluid mechanics
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References:

[1] Crane, L. J.: Flow past a stretching plate. Z. Angew. Math. Phys.21, 645-647 (1970).
[2] Chiam, T. C.: Micropolar fluid flow over a stretching sheet. ZAMM62, 565-568 (1982).
[3] Andersson, H. I., Dandapat, B. S.: Flow of a power-law fluid over a stretching sheet. Stability Appl. Anal. Continuous Media1, 339-347 (1991).
[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] Siddappa, B., Abel, S.: Non-Newtonian flow past a stretching plate. Z. Angew. Math. Phys.36, 890-892 (1985). · Zbl 0591.76011
[6] Rajagopal, K. R., Na, T. Y., Gupta, A. S.: Flow of a viscoelastic fluid over a stretching sheet. Rheol. Acta23, 213-215 (1984).
[7] Beavers, G. S., Joseph, D. D.: Boundary conditions at a naturally permeable wall. J. Fluid Mech.30, 197-207 (1967).
[8] Laplace, P., Arquis, É.: Boundary layer over a slotted plate. Eur. J. Mech. B/Fluids17, 331-355 (1998). · Zbl 0922.76118
[9] Miksis, M. J., Davis, S. H.: Slip over rough and coated surfaces. J. Fluid Mech.273, 125-139 (1994). · Zbl 0814.76036
[10] Gad-el-Hak, M.: The fluid mechanics of microdevices?The Freeman scholar lecture. ASME J. Fluids Engng121, 5-33 (1999).
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