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Analysis of viscous flow due to a stretching sheet with surface slip and suction. (English) Zbl 1154.76330
Summary: The viscous flow due to a stretching sheet with slip and suction is studied. The Navier-Stokes equations admit exact similarity solutions. For two-dimensional stretching a closed-form solution is found and uniqueness is proved. For axisymmetric stretching both existence and uniqueness are shown. The boundary value problem is then integrated numerically.

MSC:
76D05 Navier-Stokes equations for incompressible viscous fluids
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[1] Wang, C.Y., Exact solutions of the steady-state navier – stokes equations, Ann. rev. fluid mech., 23, 159-177, (1992)
[2] Crane, L.J., Flow past a stretching plate, Z. angew. math. phys., 21, 645-647, (1970)
[3] Gupta, P.S.; Gupta, A.S, Heat and mass transfer on a stretching sheet with suction or blowing, Can. J. chem. eng., 55, 744-746, (1977)
[4] Wang, C.Y., The three-dimensional flow due to a stretching surface, Phys. fluids, 27, 1915-1917, (1984) · Zbl 0545.76033
[5] Mcleod, J.B.; Rajagopal, K.R., On the uniqueness of flow of a navier – stokes fluid due to a stretching boundary, Arch. ration. mech. anal., 98, 386-393, (1987) · Zbl 0631.76021
[6] Troy, W.; Overman, E.A.; Ermentrout, G.B.; Keener, J.P., Uniqueness of flow of a second-order fluid past a stretching sheet, Quart. appl. math., 44, 753-755, (1987) · Zbl 0613.76006
[7] Yoshimura, A.; Prudhomme, R.K., Wall slip corrections for Couette and parallel disc viscometers, J. rheol., 32, 53-67, (1988)
[8] Wang, C.Y., Flow due to a stretching boundary with partial slip—an exact solution of the navier – stokes equations, Chem. eng. sci., 57, 3745-3747, (2002)
[9] Andersson, H.I., Slip flow past a stretching surface, Acta mech., 158, 121-125, (2002) · Zbl 1013.76020
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