zbMATH — the first resource for mathematics

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.

76D05 Navier-Stokes equations for incompressible viscous fluids
Full Text: DOI
[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
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.