Viscous flow over a shrinking sheet with a second order slip flow model.

*(English)*Zbl 1222.76028Summary: Viscous flow over a shrinking sheet is solved analytically using a newly proposed second order slip flow model. The closed solution is an exact solution of the full governing Navier–Stokes equations. The solution has two branches in a certain range of the parameters. The effects of the two slip parameters and the mass suction parameter on the velocity distribution are presented graphically and discussed. For certain combinations of the slip parameters, the wall drag force can decrease with the increase of mass suction. These results clearly show that the second order slip flow model is necessary to predict the flow characteristics accurately.

##### MSC:

76D05 | Navier-Stokes equations for incompressible viscous fluids |

##### Keywords:

similarity solution; stretching surface; shrinking sheet; Navier; Stokes equations; analytical solution; exact solution; slip flow
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\textit{T. Fang} et al., Commun. Nonlinear Sci. Numer. Simul. 15, No. 7, 1831--1842 (2010; Zbl 1222.76028)

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