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Two dimensional stagnation point flow of an elastico-viscous fluid with partial slip

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TLDR
In this article, the steady laminar flow of an elastico-viscous fluid impinging normally upon a wall has been investigated when there is a partial slip of the fluid at the wall.
Abstract
The steady, laminar flow of an elastico-viscous fluid impinging normally upon a wall has been investigated when there is a partial slip of the fluid at the wall. The governing equations of motion admit a similarity solution in terms of η, the dimensionless distance normal to the wall. The boundary value problem characterizing the flow has been solved without making any assumption on the size of either the viscoelastic fluid parameter or the partial slip parameter. The solutions are shown to exist only up to a critical value of viscoelastic fluid parameter. The effect of the partial slip is to enhance this critical value.

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Citations
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Journal ArticleDOI

Slip effects on boundary layer stagnation-point flow and heat transfer towards a shrinking sheet

TL;DR: In this paper, the effects of partial slip on steady boundary layer stagnation-point flow of an incompressible fluid and heat transfer towards a shrinking sheet were analyzed using similarity transformation technique and then the self-similar equations were solved numerically using shooting method.
Journal ArticleDOI

MHD boundary layer slip flow along a stretching cylinder

TL;DR: In this article, the axi-symmetric laminar boundary layer flow of a viscous incompressible fluid and heat transfer towards a stretching cylinder under the influence of a uniform magnetic field is considered.
Journal ArticleDOI

Effects of partial slip on boundary layer flow past a permeable exponential stretching sheet in presence of thermal radiation

TL;DR: In this article, an analysis of boundary layer flow and heat transfer towards a porous exponential stretching sheet is presented, where velocity and thermal slips are considered instead of no-slip conditions at the boundary.
Journal ArticleDOI

Mixed convection stagnation point flow past a vertical flat plate with a second order slip: Heat flux case

TL;DR: In this article, the effects of mixed convection and velocity slip parameters on the skin friction coefficient, dimensionless wall temperature, and dimensionless velocity and temperature profiles are presented graphically, and discussed in details.
Book ChapterDOI

Flow past a stretching sheet

TL;DR: In this article, the heat or mass transfer characteristics for boundary layer flows past a stretching sheet are discussed and the similarity transformation is used to obtain the self-similar equations that are then solved numerically.
References
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Journal ArticleDOI

Boundary conditions at a naturally permeable wall

TL;DR: In this article, a simple theory based on replacing the effect of the boundary layer with a slip velocity proportional to the exterior velocity gradient is proposed and shown to be in reasonable agreement with experimental results.
Journal ArticleDOI

Wall Slip Corrections for Couette and Parallel Disk Viscometers

TL;DR: In this article, the authors present a new analysis of the Couette geometry that requires only two measurements rather than the three used by Mooney, and demonstrate the experimental data on a clay suspension and oil-in-water emulsion.
Journal ArticleDOI

Elastico-viscous boundary-layer flows I. Two-dimensional flow near a stagnation point

TL;DR: In this article, the authors extended the boundary-layer theory for an idealized elastico-viscous liquid and showed that the main effect of elasticity is to increase the velocity in the boundary layer and increase the stress on the solid boundary.
Journal ArticleDOI

Slip flow past a stretching surface

TL;DR: In this article, the slip-flow of a Newtonian fluid past a linearly stretching sheet is considered, and the partial slip is controlled by a dimensionless slip factor, which varies between zero (total adhesion) and infinity (full slip).
Journal ArticleDOI

Flow due to a stretching boundary with partial slip—an exact solution of the Navier–Stokes equations

TL;DR: In this article, the entrained flow due to a stretching surface with partial slip is solved by similarity transform, and the flow is solved using similarity transform on a Gaussian manifold.
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