Unsteady three-dimensional MHD-boundary-layer flow due to the impulsive motion of a stretching surface

Takhar, H. S.; Chamkha, Ali J.; Nath, G.

doi:10.1007/bf01178795

Cited by 125 publications

(66 citation statements)

References 16 publications

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“…Polymer sheets are manufactured by continuous extrusion of the polymer from a die to a windup roller. The thin polymer sheet constitutes a continuously moving surface with a non-uniform velocity though the ambient fluid [2]. Crane [3] and McCormack and Crane [4] investigated the steady two-dimensional flow of an incompressible fluid over a stretching sheet which moves in its own plane with a velocity varying linearly with the distance from a fixed point due to the application of a uniform stress.…”

Section: Introductionmentioning

confidence: 99%

Two-dimensional oblique stagnation-point flow towards a stretching surface in a viscoelastic fluid

2010

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Abstract:In this paper, the steady two-dimensional stagnation-point flow of a viscoelastic Walters' B' fluid over a stretching surface is examined. It is assumed that the fluid impinges on the wall obliquely. Using similarity variables, the governing partial differential equations are transformed into a set of two non-dimensional ordinary differential equations. These equations are then solved numerically using the shooting method with a finite-difference technique.PACS (

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Section: Introductionmentioning

confidence: 99%

Two-dimensional oblique stagnation-point flow towards a stretching surface in a viscoelastic fluid

2010

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“…Chamkha [5] considered the hydromagnetic steady three-dimensional flow over a stretching surface with heat generation absorption. Takhar et al [6] studied the unsteady three-dimensional flow due to impulsive motion of a stretching surface. Some other investigations for the case of three-dimensional stretching flow have been examined by Aboeldahab [7], Aboeldahab and Azzam [8], Xu et al [9].…”

Section: Introductionmentioning

confidence: 99%

Three‐dimensional flow of an elastico‐viscous fluid with mass transfer

Hayat

Qasim

Abbas

2011

Numerical Methods in Fluids

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SUMMARYThis paper looks at the unsteady three-dimensional MHD flow of an elastico-viscous fluid over a stretching surface. The analysis of mass transfer is also analyzed. The governing boundary layer equations are reduced into partial differential equations with three dependent variables through similarity transformations. The transformed system of equations is solved analytically by employing homotopy analysis method (HAM). Plots for various interesting parameters are presented and discussed. Numerical data for surface shear stresses and surface mass transfer in steady case are also tabulated.

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“…The boundary layer flow due to impulsively stretching plate is analysed by Liao (2006). The development of velocity and temperature fields of an incompressible viscous electrically conducting fluid, caused by an impulsive stretching of the surface in two lateral directions and by suddenly increasing the surface temperature from that of the surrounding fluid is studied by Takhar et al (2001). Ariel (2007) analysed the axisymmetric flow due to a stretching sheet with partial slip using homotopy perturbation method.…”

Section: Introductionmentioning

confidence: 99%

Brinkman Flow Past a Stretching Sheet

Kumaran

Tamizharasi

2010

Transp Porous Med

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The problem of steady viscous flow of an incompressible fluid over a flat deformable sheet in a porous medium, when the sheet is stretched in its own plane is revisited. An exact solution is recovered for the two-dimensional case and a totally analytic approximate solution is developed for the axisymmetric case. Stretching rate of two-dimensional case is assumed as double the stretching rate of axisymmetric case. The analytical expressions of residual errors, horizontal, vertical velocity distributions, stream lines, vorticity lines, pressure distributions have been obtained and plotted. The values of skin friction, entrainment velocity, boundary layer thickness, momentum thickness and energy thickness have been tabulated. For the first time, two-dimensional and axisymmetric cases are compared by means of a unified scale.

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Unsteady three-dimensional MHD-boundary-layer flow due to the impulsive motion of a stretching surface

Cited by 125 publications

References 16 publications

Two-dimensional oblique stagnation-point flow towards a stretching surface in a viscoelastic fluid

Two-dimensional oblique stagnation-point flow towards a stretching surface in a viscoelastic fluid

Three‐dimensional flow of an elastico‐viscous fluid with mass transfer

Brinkman Flow Past a Stretching Sheet

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