Study on MHD Stagnation-Point Flow Over Permeable Stretching Sheets With 2nd-Order Slip Boundaries

XU Xiao-qin; CHEN Shu-mei

doi:10.21656/1000-0887.370032

Volume 37 Issue 8

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Article Navigation > Applied Mathematics and Mechanics > 2016 > 37(8): 880-888

XU Xiao-qin, CHEN Shu-mei. Study on MHD Stagnation-Point Flow Over Permeable Stretching Sheets With 2nd-Order Slip Boundaries[J]. Applied Mathematics and Mechanics, 2016, 37(8): 880-888. doi: 10.21656/1000-0887.370032

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Study on MHD Stagnation-Point Flow Over Permeable Stretching Sheets With 2nd-Order Slip Boundaries

doi: 10.21656/1000-0887.370032

XU Xiao-qin^1,2,
CHEN Shu-mei²

¹Automobile Application Engineering Dept., Fujian Chuanzheng Communications College, Fuzhou 350007, P.R.China;²School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou 350116, P.R.China

Received Date: 2016-01-22
Rev Recd Date: 2016-02-15
Publish Date: 2016-08-15

Abstract

Abstract

The incompressible MHD viscous flow with 2nd-order slip about stagnation points over permeable exponentially stretching sheets in porous media was studied. The governing equations describing the stagnation point flow were reduced to nonlinear differential equations through the similarity transformations. Then the bvp5c function in MATLAB was employed to solve the nonlinear problem. Finally, the effects of the 1st- and 2nd-order slip parameters, the suction/injection parameter and the permeability parameter on the velocity and the skin friction were analyzed and discussed. The results show that the velocity increases but the skin friction decreases and is positive with the 1st-order slip parameter and the absolute value of the 2nd-order slip parameter, the suction/injection parameter and the permeability parameter, when the sheet’s stretching velocity is smaller than the external mainstream velocity; however, an anti-boundary layer forms, the velocity decreases and the absolute value of the skin friction also decreases but is negative, when the sheet’s stretching velocity is larger than the external mainstream velocity. The effect of the 2nd-order slip parameter is slightly greater than that of the 1st-order slip parameter on the velocity and the skin friction, and the effect of the suction/injection parameter is significantly greater than that of the permeability parameter.
- permeable stretching sheet,
- 2nd-order slip,
- MHD,
- stagnation-point flow,
- boundary layer

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References

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