Effects of variable viscosity in a third grade fluid with porous medium: An analytic solution

Ellahi, R.; Afzal, Sidra

doi:10.1016/j.cnsns.2008.05.006

Cited by 68 publications

(25 citation statements)

References 36 publications

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“…Many of the fluids used in the oil industry and simulate reservoirs are significantly non-Newtonian. In different degree, they display shear-dependent of viscosity, thixotropy and elasticity (Pearson and Tardy 2002;Ellahi and Afza 2009;Ellahi 2009). …”

Section: Introductionmentioning

confidence: 99%

Numerical solution of non-Newtonian nanofluid flow over a stretching sheet

2013

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The steady flow of a Jeffrey fluid model in the presence of nano particles is studied. Similarity transformation is used to convert the governing partial differential equations to a set of coupled nonlinear ordinary differential equations which are solved numerically. Behavior of emerging parameters is presented graphically and discussed for velocity, temperature and nanoparticles fraction. Variation of the reduced Nusselt and Sherwood number against physical parameters is presented graphically. It was found that reduced Nusselt number is decreasing function and reduced Sherwood number is increasing function of Brownian parameter N b and thermophoresis parameter N t .

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Section: Introductionmentioning

confidence: 99%

Numerical solution of non-Newtonian nanofluid flow over a stretching sheet

2013

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“…The viscous flow equations for unsteady flow are presented along with heat and mass transfer analysis. The governing highly nonlinear coupled partial differential equations are first transformed to coupled ordinary differential equations using the similarity transformations and then solved analytically with the help of homotopy analysis method (Liao , 2004(Liao , 2005(Liao , 2009Liao and Cheung 2003;Abbasbandy 2006Abbasbandy , 2008Abbasbandy and Samadian 2008;Ellahi and Riaz 2010;Ellahi and Afzal 2009;Nadeem et al 2010;Nadeem and Hussain 2009;Nadeem and Saleem 2013). The influences of different physical parameters are also presented and discussed graphically.…”

Section: Introductionmentioning

confidence: 99%

Unsteady mixed convection flow of nanofluid on a rotating cone with magnetic field

Nadeem

Saleem

2013

Appl Nanosci

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In this article, we have presented the unsteady flow of a rotating nanofluid in a rotating cone in the presence of magnetic field. The highly nonlinear coupled partial differential equations are simplified with the help of suitable similarity transformations. The reduced nonlinear coupled equations are solved analytically with the help of homotopy analysis method. The physical features of the parameters of interest are discussed by plotting graphs and through tables.

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“…The flow of non-Newtonian fluids through a porous medium under different conditions were studied by Abbasbandy et al [1], Ashgar et al [4], Ellahi and Afzal [8], Khan et al [13] and Khan and Ellahi [14]. Further, several authors have studied the dispersion of a solute through a porous medium under different conditions (Dulal [6], Mehta and Tiwari [15], Al-Nimr and Alkam [2]).…”

Section: Introductionmentioning

confidence: 99%

Dispersion of a solute in peristaltic motion of a couple stress fluid through a porous medium

Radhakrishnamacharya

Alemayehu

2012

Tamkang J. Math.

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Abstract. The paper presents an analytical solution for dispersion of a solute in the peristaltic motion of a couple stress fluid through a porous medium in the presence of both homogeneous and heterogeneous chemical reactions. The average effective dispersion coefficient has been found using Taylor's limiting condition and long wavelength approximation. The effects of various relevant parameters on the average coefficient of dispersion have been studied. The average effective dispersion coefficient increases with permeability parameter but decreases with homogeneous chemical reaction rate parameter, couple stress parameter and heterogeneous reaction rate parameter.

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Effects of variable viscosity in a third grade fluid with porous medium: An analytic solution

Cited by 68 publications

References 36 publications

Numerical solution of non-Newtonian nanofluid flow over a stretching sheet

Numerical solution of non-Newtonian nanofluid flow over a stretching sheet

Unsteady mixed convection flow of nanofluid on a rotating cone with magnetic field

Dispersion of a solute in peristaltic motion of a couple stress fluid through a porous medium

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