The effect of the slip condition on Stokes and Couette flows due to an oscillating wall: exact solutions

General solutions for the magnetohydrodynamic (MHD) natural convection flow of an incompressible viscous fluid over a moving plate are established when thermal radiation, porous effects, and slip condition are taken into consideration. These solutions, obtained in closed-form by Laplace transform technique, depend on the slip coefficient and the three essential parameters Gr, Pr eff , and K eff . They satisfy all imposed initial and boundary conditions and can generate a large class of exact solutions corresponding to different fluid motions with technical relevance. For illustration, two special cases are considered and some interesting results from the literature are recovered as limiting cases. The influence of pertinent parameters on the fluid motion is graphically underlined.

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“…The negative values of α, as it results from [13], do not correspond to physical cases. Introducing the following non-dimensional quantities…”

Section: Statement Of the Problemmentioning

confidence: 91%

“…Khaled and Vafai [13] established exact solutions for the second problem of Stokes under slip condition. Mansour et al [14] studied the magnetohydrodynamic (MHD) free convection flow of a micropolar fluid through a porous medium with periodic temperature and slip condition.…”

Section: Introductionmentioning

confidence: 99%

General Solutions for Magnetohydrodynamic Natural Convection Flow with Radiative Heat Transfer and Slip Condition over a Moving Plate

Vieru

Fetecău

Akhter

2013

Zeitschrift Für Naturforschung A

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“…The effects of slip conditions on the hydromagnetic steady flow in a channel with permeable boundaries were discussed by Makinde and Osalusi [4]. Khalid and Vafai [5] obtained the closed form solutions for steady periodic and transient velocity field under slip condition. Watanebe et al [6] studied the effect of Navier Slip on Newtonian fluids at solid boundary.…”

Section: Introductionmentioning

confidence: 99%

Combined Effect of Buoyancy Force and Navier Slip on Entropy Generation in a Vertical Porous Channel

Eegunjobi

Makinde

2012

Entropy

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Abstract:In this paper, we investigate the combined effects of buoyancy force and Navier slip on the entropy generation rate in a vertical porous channel with wall suction/injection. The nonlinear model problem is tackled numerically using Runge-Kutta-Fehlberg method with shooting technique. Both the velocity and temperature profiles are obtained and utilized to compute the entropy generation number. The effects of slip parameter, Brinkmann number, the Peclet number and suction/injection Reynolds number on the fluid velocity, temperature profile, Nusselt number, entropy generation rate and Bejan number are depicted graphically and discussed quantitatively.

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“…Coutte flow with slip and jump boundary conditions under steady state conditions and only for gases have been investigated by Marques et al [14]. The closed form solution for steady periodic and transient velocity field under slip condition have been studied by Khaled and Vafai [11]. The effect of slip condition on MHD steady flow in a channel with permeable boundaries has been discussed by Makinde and Osalusi [13].…”

Section: Introductionmentioning

confidence: 99%

Slip Velocity Distribution on MHD Oscillatory Heat and Mass Transfer Flow of a Viscous Fluid in a Parallel Plate Channel

Venkateswarlu

Dasari²

2017

GANIT: J. Bangladesh Math. Soc.

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The present investigation deals with the effect of slip on the hydromagnetic pulsatile flow through a parallel plate channel filled with saturated porous medium. Based on the pulsatile flow nature, the transformed conservation equations are solved analytically subject to physically appropriate boundary conditions by using two term perturbation technique. Exact solutions are obtained for the velocity, temperature and concentration fields. In particular skin friction coefficient, Nusselt number and Sherwood number are found to evolve into their steady state case in the large time

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The effect of the slip condition on Stokes and Couette flows due to an oscillating wall: exact solutions

Cited by 115 publications

References 8 publications

General Solutions for Magnetohydrodynamic Natural Convection Flow with Radiative Heat Transfer and Slip Condition over a Moving Plate

General Solutions for Magnetohydrodynamic Natural Convection Flow with Radiative Heat Transfer and Slip Condition over a Moving Plate

Combined Effect of Buoyancy Force and Navier Slip on Entropy Generation in a Vertical Porous Channel

Slip Velocity Distribution on MHD Oscillatory Heat and Mass Transfer Flow of a Viscous Fluid in a Parallel Plate Channel

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