Laminar flows of non-Newtonian fluids driven by power-law shear over a porous stretching flat sheet

Xu Hang; Fan Tao; Ioan Pop

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Laminar flows of non-Newtonian fluids driven by power-law shear over a porous stretching flat sheet

Xu Hang 1 *,Fan Tao 1,Ioan Pop 2

1.School of Naval Architecture, Ocean and Civil Engineering, ShangHai JiaoTong University, ShangHai 200240 China

2.Faculty of Mathematics, University of Cluj, R-3400 Cluj,CP253, Romania

*Correspondence author

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Funding: Natural Science Foundation of China（No.10972136）, Higher Education Foundation of China（No.20090073120014）

Opened online:21 June 2012

Accepted by: none

Citation: Xu Hang ,Fan Tao ,Ioan Pop.Laminar flows of non-Newtonian fluids driven by power-law shear over a porous stretching flat sheet[OL]. [21 June 2012] http://en.paper.edu.cn/en_releasepaper/content/4482366

The boundary-layer flows of non-Newtonian power-law fluids adjacent to a stretching plane surface driven by an outer power-law shear in the presence of suction or injection are investigated. The boundary-layer equations are reduced to an ordinary differential equation with algebraical boundary condition at far field. A number of solutions with algebraical decaying behaviour are captured numerically. It is found that such solutions are possible if and only if fw ≥fw min for properly given values of α and β. We further notice that for properly prescribed values of fw and α, solutions can always be found in the range 0≤β≤βmax, where βmax corresponds to lim n→0 f''(η)=0. Besides, it is found that in the range -1/2<α<0, both the suction and the injection solutions could be available. While when -1<α<-1/2, only the solutions of suction type are possible. Furthermore, it is found that no solution is possible when the wall stretching is applied to the porous wall in the case of α=-1.

Keywords:boundary-layer; algebraical behaviour; suction; injection; similarity solution

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