Slip Effects on the Oscillatory Flow in a Porous Medium

Hayat, Tasawar; Afzaal, Muhammad F.; Fetecău, Constantin; Hendi, Awatif A.

doi:10.1615/jpormedia.v14.i6.20

Cited by 10 publications

(5 citation statements)

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“…Also, if in our results we consider ( ) = sin( ) or ( ) = cos( ), (32)-(34) become equivalent to the results of Khaled and Vafai (see [22], Eqs. (8), (9), (10), (16)) and to the results obtained by Hayat et al (see [23], Eqs. (13), (14), with = 0 and → ∞).…”

Section: Newtonian Fluid With/without Slip Conditionsupporting

confidence: 73%

Flows with Slip of Oldroyd-B Fluids over a Moving Plate

Shakeel

Ahmad

Khan

et al. 2016

Advances in Mathematical Physics

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A general investigation has been made and analytic solutions are provided corresponding to the flows of an Oldroyd-B fluid, under the consideration of slip condition at the boundary. The fluid motion is generated by the flat plate which has a translational motion in its plane with a time-dependent velocity. The adequate integral transform approach is employed to find analytic solutions for the velocity field. Solutions for the flows corresponding to Maxwell fluid, second-grade fluid, and Newtonian fluid are also determined in both cases, namely, flows with slip on the boundary and flows with no slip on the boundary, respectively. Some of our results were compared with other results from the literature. The effects of several emerging dimensionless and pertinent parameters on the fluid velocity have been studied theoretically as well as graphically in the paper.

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Section: Newtonian Fluid With/without Slip Conditionsupporting

confidence: 73%

Flows with Slip of Oldroyd-B Fluids over a Moving Plate

Shakeel

Ahmad

Khan

et al. 2016

Advances in Mathematical Physics

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“…In order to underline the effects of the slippage on the fluid flow, we need the velocity field corresponding to α = 0. It can be obtained starting again from (22) withā 0 (q) = …”

Section: Solution In the Case Of No-slip Condition (Thementioning

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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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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“…Recently, Ray et al (2005) obtained the analytical solution for different types of pulsation by approximating the mass flow-rate by Fourier series. In the second category (Laplace transform approach (Das & Arakeri, 2000;Brereton, 2000;Muntges & Majdalani, 2002;Khaled & Vafai, 2004;Chen et al, 2008;Hayat et al, 2011;Avramenko et al, 2015), the pressure gradient is an unknown parameter and the additional condition to solve the governing equation is obtained from the time-varying mean volume flow-rate. Das and Arakeri (2000) successfully applied the second method to obtain the transient variation of the velocity profile and pressure gradient for different inflow configurations.…”

Section: I|ntroductionmentioning

confidence: 99%

Analytical Solutions for Unsteady Pipe Flows with Slip Boundary Condition

Pillai

Manu

2020

JAFM

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In this paper analytical expressions for time-dependent velocity profiles and pressure gradient are obtained for fully-developed laminar flows with given volume flow-rate conditions in circular pipe flows with slip boundary conditions. The governing equations are solved analytically using the traditional Laplace transform method together with Mellin's inversion formula. The evolution of velocity profiles and pressure gradient for starting and pulsatile flow with slip boundary conditions are analyzed. New simplified expressions and perspectives on velocity and pressure gradient for no-slip and slip flows are obtained from the analytical results. New scalings in starting and pulsatile flows are proposed for pipe flows with no-slip and slip boundary conditions using nondimensional numbers. Special attention is paid to the effect of slip factor and pulsatile flow frequency on the time-dependent skin-friction factor. Finally, by using the starting and pulsating flow results, analytical expressions of velocity and pressure for arbitrary inflow are obtained by approximating the arbitrary volume flow-rate by a Fourier series

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Slip Effects on the Oscillatory Flow in a Porous Medium

Cited by 10 publications

References 0 publications

Flows with Slip of Oldroyd-B Fluids over a Moving Plate

Flows with Slip of Oldroyd-B Fluids over a Moving Plate

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

Analytical Solutions for Unsteady Pipe Flows with Slip Boundary Condition

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