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- W3010242955 abstract "Abstract In a recent paper, Al-Housseiny and Stone (J Fluid Mech 706:597–606, 2012) considered the dynamics of a stretching surface and how this interacts with the boundary-layer flow it generates. These authors discussed the cases $$c= -3$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:mi>c</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:math> for an elastic sheet and $$c= -1$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:mi>c</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math> for the viscous fluid, c being representative for the stretching velocity of the sheet. The aim of the present paper is to extend the analysis of Al-Housseiny and Stone (2012) to the general values of c , to allow for both a stretching and a shrinking sheet and for the surface to be permeable through the parameter S , where $$S>0$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:mi>S</mml:mi><mml:mo>></mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:math> for the fluid withdrawal and $$S < 0$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:mi>S</mml:mi><mml:mo><</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:math> for fluid injection. Both the cases $$S=0$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:mi>S</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:math> (impermeable surface) and $$S ne 0$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:mi>S</mml:mi><mml:mo>≠</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:math> (permeable surface) are considered for both stretching surfaces and shrinking surfaces. In all these cases, asymptotic solutions are presented for large values c and S (both withdrawal and injection)." @default.
- W3010242955 created "2020-03-13" @default.
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- W3010242955 date "2020-03-04" @default.
- W3010242955 modified "2023-09-25" @default.
- W3010242955 title "On an equation arising in the boundary-layer flow of stretching/shrinking permeable surfaces" @default.
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- W3010242955 doi "https://doi.org/10.1007/s10665-020-10036-9" @default.
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