MHD boundary-layer flow due to a moving extensible surface

106

This article reports the flow of a Casson fluid in the region of stagnation-point towards a stretching sheet. The characteristics of heat transfer with viscous dissipation are also analyzed. The partial differential equations representing the flow and heat transfer of the Casson fluid are reduced to ordinary differential equations through suitable transformations. The flow is therefore governed by the Casson fluid parameter β , the ratio of the free stream velocity to the velocity of the stretching sheet a/c, the Prandtl number Pr, and the Eckert number Ec. The analytic solutions in the whole spatial domain have been computed by the homotopy analysis method (HAM). The dimensionless expressions for the skin friction coefficient and the local Nusselt number have been calculated and discussed.

“…• The present results in the limiting case (β → ∞) are found in excellent agreement with those of Mahapatra and Gupta [14] and Ishak et al [20].…”

Section: Discussionsupporting

confidence: 92%

Section: Resultsmentioning

confidence: 73%

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Stagnation-Point Flow and Heat Transfer of a Casson Fluid towards a Stretching Sheet

Mustafa

Hayat

Pop

et al. 2012

106

“…Equations (6) and (7) subject to the boundary conditions (8) are integrated numerically using a finite difference scheme known as the Keller-box method, which is described in [29,30]. This method is unconditionally stable and has been successfully used by several authors to solve various problems in fluid mechanics and heat transfer [31 -37].…”

Section: Methodsmentioning

confidence: 99%

Stagnation-Point Flow over an Exponentially Shrinking/Stretching Sheet

Wong

Awang

Ishak

2011

Self Cite

The steady two-dimensional stagnation-point flow of an incompressible viscous fluid over an exponentially shrinking/stretching sheet is studied. The shrinking/stretching velocity, the free stream velocity, and the surface temperature are assumed to vary in a power-law form with the distance from the stagnation point. The governing partial differential equations are transformed into a system of ordinary differential equations before being solved numerically by a finite difference scheme known as the Keller-box method. The features of the flow and heat transfer characteristics for different values of the governing parameters are analyzed and discussed. It is found that dual solutions exist for the shrinking case, while for the stretching case, the solution is unique.

“…It is well known that Darcy's law is an empirical formula relating the pressure gradient, the bulk viscous fluid resistance, and the gravitational force for a forced convective flow in a porous medium. Deviations from Darcy's law occur when the Reynolds number based on the pore diameter is within the range of 1 to 10 [16]. Representative studies dealing with flow through porous medium can be found from Pal and Mondal [17], Mukhopadhyay [18], Mukhopadhyay et al [19], Ishak et al [20], and Hayat et al [21].…”

Section: Introductionmentioning

confidence: 99%

Upper-Convected Maxwell Fluid Flow over an Unsteady Stretching Surface Embedded in Porous Medium Subjected to Suction/Blowing

Mukhopadhyay

2012

Unsteady two-dimensional flow of a Maxwell fluid over a stretching surface in a porous medium subjected to suction/blowing is investigated. The upper-convected Maxwell fluid model is used to characterize the non-Newtonian fluid behaviour. With the help of similarity transformations, the boundary layer equation corresponding to the momentum equation is transformed to an ordinary one and then solved numerically by the shooting method. The flow characteristics for different values of the governing parameters are analyzed and discussed in detail. The fluid velocity initially decreases with increasing unsteadiness parameter. Also, it is found that the fluid velocity decreases with increasing permeability parameter. The effect of increasing values of the Maxwell parameter is to suppress the velocity field. Due to suction, the fluid velocity is found to decrease in the boundary layer region.