SLIP EFFECTS ON BOUNDARY LAYER FLOW AND MASS TRANSFER WITH CHEMICAL REACTION OVER A PERMEABLE FLAT PLATE IN A POROUS MEDIUMn over a permeable flat plate in a porous medium

Bhattacharyya, Krishnendu

doi:10.5098/hmt.v3.4.3006

Cited by 7 publications

(7 citation statements)

References 22 publications

(25 reference statements)

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“…Physically, an increase in leads to the increase in the number of solute molecules undergoing chemical reaction resulting in decrease in the fluid field. This is similar to results observed by Damesh and Shannak [45] for viscoelastic fluid, and Bhattacharyya [46] for viscous fluid. Furthermore, one can come to the conclusion from Figs.…”

Section: The Effect Of Viscosity Ratio Msupporting

confidence: 91%

Free Convective Flow of Electrically Conducting and Viscous Immiscible Fluid Flow in a Vertical Channel in the Presence of First‐Order Chemical Reaction

Kumar

Umavathi

Kalyan

2014

Heat Trans. Asian Res.

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In this paper, the effects of chemical reaction on free convective flow of electrically conducting and viscous incompressible immiscible fluids are analyzed. The coupled nonlinear equations governing the heat and mass transfer are solved analytically and numerically with appropriate boundary conditions for each fluid and the solutions have been matched at the interface. The analytical solutions are solved by using regular perturbation method valid for small values of perturbation parameter and numerically by using finite difference method. The numerical results for various values of thermal Grashof number, mass Grashof number, Hartman number, viscosity ratio, width ratio, conductivity ratio, and chemical reaction parameter have been presented graphically in the presence and in the absence of electric field load parameter. In addition, the closed form expression for volumetric flow rate, Nusselt number, species concentration, and total heat rate added to the flow is also analyzed. The solutions obtained by finite difference method and perturbation method agree very well to the order of 10 −4 for small values of perturbation parameter. C⃝ 2014 Wiley Periodicals, Inc. Heat Trans Asian Res, 44(7): 657-680, 2015; Published online in Wiley Online Library (wileyonlinelibrary.com/journal/htj).

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Section: The Effect Of Viscosity Ratio Msupporting

confidence: 91%

Free Convective Flow of Electrically Conducting and Viscous Immiscible Fluid Flow in a Vertical Channel in the Presence of First‐Order Chemical Reaction

Kumar

Umavathi

Kalyan

2014

Heat Trans. Asian Res.

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“…We obtain a numerical solution of the problem given by the governing Equation 18together with Conditions (19)- (21). The discretized form of Equation 18is presented using a finite difference scheme in ref.…”

Section: Numerical Solutionmentioning

confidence: 99%

“…there are situations where this condition is not adequate in that the flow may exhibits slip effect [21] [22] [23] [24] [25]. It has been experimentally verified that the slip effects become important in nanochannels and micro channels (see [26]).…”

Section: Introductionmentioning

confidence: 99%

Numerical Solution for Variable Accelerated Flow Subject to Slip Effect

Ashi¹

2017

OJFD

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In this paper, we examine the unsteady magneto hydrodynamic (MHD) flow generated by a disc that is making non-coaxial rotations with a third grade fluid at infinity and moving with a variable acceleration. The fluid is assumed to satisfy slip boundary condition on the disc. The governing equations are three dimensional and highly non-linear in nature. The assumed slip boundary condition is non-linear as well. The governing equations are transformed to a nonlinear boundary value problem which is solved numerically. Comparison of this generalized problem with uniformly accelerated disk satisfying no slip condition is made. Variations of the characterizing dimensionless parameters such as slip parameter λ, acceleration parameter c, unsteady parameter τ, third grade parameter β, suction parameter S, and magnetic parameter N on the flow field are discussed and analyzed graphically.

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“…They found that the increase of velocity slip parameter reduces the momentum boundary layer thickness and enhances the heat transfer from the plate; on the other hand, heat transfer decreases with thermal slip parameter. Bhattacharyya [9] considered velocity and mass slips at the boundary in the analysis of the steady boundary layer flow and mass transfer with nth order chemical reaction past a porous plate embedded in a Darcy porous medium. The reduced nonlinear equations were solved numerically.…”

Section: Introductionmentioning

confidence: 99%

Darcian Velocity and Temperature Jump Effects on Convection From Vertical Surface Embedded in Porous Media

Al-Khliefat¹,

Duwairi²

2015

IJHT

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In this work the temperature jump effects on convection from vertical plate embedded in porous media using Darcy model has been investigated numerically. The governing equations: continuity, Darcy law and energy were transformed into dimensionless form using a set of suitable variables then solved numerically using a finite difference method. Results obtained were graphically interdicted to illustrate the effects of temperature jump on the near plate fluid velocity, temperature, shear stress, and Nusselt number. It was found that the increasing of temperature jump parameter reduced velocity and heat transfer rates between surface and fluid for both natural and mixed convection. It was also found that the temperature jump does not affect the rate of forced convection heat transfer.

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SLIP EFFECTS ON BOUNDARY LAYER FLOW AND MASS TRANSFER WITH CHEMICAL REACTION OVER A PERMEABLE FLAT PLATE IN A POROUS MEDIUMn over a permeable flat plate in a porous medium

Cited by 7 publications

References 22 publications

Free Convective Flow of Electrically Conducting and Viscous Immiscible Fluid Flow in a Vertical Channel in the Presence of First‐Order Chemical Reaction

Free Convective Flow of Electrically Conducting and Viscous Immiscible Fluid Flow in a Vertical Channel in the Presence of First‐Order Chemical Reaction

Numerical Solution for Variable Accelerated Flow Subject to Slip Effect

Darcian Velocity and Temperature Jump Effects on Convection From Vertical Surface Embedded in Porous Media

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