Influence of variable permeability on combined free and forced convection flow past a semi-infinite vertical plate in a saturated porous medium

Mohammadein, A. A.; El-Shaer, N. A.

doi:10.1007/s00231-003-0430-3

Cited by 30 publications

(22 citation statements)

References 14 publications

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“…The iterative process is terminated when the difference between two successive values reached 10 -6 , then the solution is said to have converged results. The slight deviation in the values may be due to the use of Runge-Kutta-Fehlberg method which has fifth order accuracy whereas, Mohammadein and El-Shaer [12] have used fourth-order Runge-Kutta method which has only fourth order accuracy. Thus the present results are more accurate compared to their results.…”

Section: Methodsmentioning

confidence: 99%

“…Here we consider the variable permeability (6) and (7) in Equations (2) and (3), we get the following transformed equations: (12) where, ,…”

Section: Fig1 Physical Configuration Of the Problemmentioning

confidence: 99%

“…Nevertheless, the inertia effects become important in a sparsely packed porous medium and hence their effect on mixed convection problems needs to be investigated. Mohammadein and El-shaer [12] studied mixed convective flow past a semi-infinite vertical plate embedded in a porous medium incorporating the variable permeability in Darcy's model. Sri Hari Babu and Ramana Reddy [13] discussed the effects of mass transfer on MHD mixed convection flow past an infinite vertical plate with ohmic heating and viscous dissipation.…”

Section: Introductionmentioning

confidence: 99%

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Effects of Variable Fluid Properties and MHD on Mixed Convection Heat Transfer from a Vertical Heated Plate Embedded in a Sparsely Packed Porous Medium

2013

IOSR-JM

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The effects of variable Fluid Properties like variation of permeability, porosity, thermal conductivity and magnetic field on Mixed Convection Heat transfer from Vertical Heated Plate Embedded in a Sparsely Packed Porous Medium have been approached numerically. The boundary layer flow in the porous medium is governed by Lapwood -Forchheimer -Brinkman extended Darcy model and the Lorentz force. The natures of these equations are highly non-linear and coupled each other. The non-linear differential equations are non-dimensionalised using the non-dimensional parameter involving Grashoff number Gr, Prandtl number Pr, Hartmann number M, Eckert number E and so on. Similarity transformations are employed and the resulting ordinary differential equations are solved numerically by using shooting algorithm with Runge -Kutta and Newton -Raphson method to obtain velocity and temperature distributions. Besides, skin friction and Nusselt number are also computed for various physical parameters governing the problem under consideration. It is found that the inertial parameter has a significant influence in decreasing the flow field, whereas its influence is reversed on the rate of heat transfer for all values of permeability considered. The effect of Magnetic field is diminution with velocity of the fluid flow. Further, the obtained results under the two limiting conditions were found to be in good agreement with the existing results.

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Section: Methodsmentioning

confidence: 99%

“…Here we consider the variable permeability (6) and (7) in Equations (2) and (3), we get the following transformed equations: (12) where, ,…”

Section: Fig1 Physical Configuration Of the Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Effects of Variable Fluid Properties and MHD on Mixed Convection Heat Transfer from a Vertical Heated Plate Embedded in a Sparsely Packed Porous Medium

2013

IOSR-JM

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“…There are various industrial and engineering applications involving non-uniform heat source/sink, for example, nuclear power plants, aircraft, gas turbines, satellites, missiles, polymer industry, biomedicine, and processes concerning high temperature. Mohammadein and El-shear [1] revealed the effect of variable permeability on both free and forced convection. They reported the results of both uniform permeability and variable permeability cases.…”

Section: Introductionmentioning

confidence: 99%

Effect of internal heat generation on free convective power-law variable temperature past a vertical plate considering exponential variable viscosity and thermal conductivity

2019

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The aim of this paper is to study the free convection boundary-layer flow with heat generation and variable fluid properties past a vertical plate. We incorporated the heat generation and variable viscosity are the exponential decay form and thermal conductivity is the linear form in the governing equation. Using similarity transformations, the governing coupled non-linear partial differential equations are transformed into a system of coupled non-linear ordinary differential equations and then solved using Maple symbolic software to execute the computations via dsolve. The effects of the temperature-dependent viscosity, the wall velocity power index, the thermal conductivity, the wall temperature parameter, and the Prandtl number on the flow and temperature fields are presented. The skin friction and the wall temperature gradient are also presented for different values of the physical parameters.

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“…The effect of variable permeability and porosity on convective flow from the vertical surface were analyzed numerically first by Mohammadein and El-Shaer (2004). Seddeek (2004) illustrated the thermal-diffusion, diffusion thermo and variable viscosity effects through an accelerating surface along a internal heat generation in the occurrence of suction and blowing.…”

Section: Introductionmentioning

confidence: 99%

Effects of Variable Fluid Properties on a Double Diffusive Mixed Convection Viscous Fluid Over a Semi Infinite Vertical Surface in a Sparsely Packed Medium

Kumar¹,

Babu²,

Dinesh³

2018

Frontiers in Heat and Mass Transfer

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This problem deals with the effects of double diffusive, mixed convective flow of an incompressible viscous fluid through a vertical heated plate embedded in a non-Darcy porous medium under the influence of variable fluid properties numerically. The governing equations are modeled for the double diffusive boundary layer flow to understand the behaviour of velocity, temperature and concentration for variable fluid properties namely permeability, porosity, thermal conductivity and solutal diffusivity of the physical modal. Using a suitable similarity transformation, the highly nonlinear coupled PDE's are reduced into a set of coupled ordinary differential equations. By applying the Shooting technique with the help of RungeKutta-Fehlberg integral scheme and Newton-Raphson method, numerical computations have been carried out and are illustrated through the graphs to analyze the behaviour of velocity, temperature, concentration, Skin friction, Nusselt number and Sherwood numbers for the non-dimensional parameters of the physical system for both uniform permeability and variable permeability. To validate our numerical scheme, present results are compared with previously published work in the absence of few non-dimensional parameters and found to be in good agreement up to six decimal places of accuracy.

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Influence of variable permeability on combined free and forced convection flow past a semi-infinite vertical plate in a saturated porous medium

Cited by 30 publications

References 14 publications

Effects of Variable Fluid Properties and MHD on Mixed Convection Heat Transfer from a Vertical Heated Plate Embedded in a Sparsely Packed Porous Medium

Effects of Variable Fluid Properties and MHD on Mixed Convection Heat Transfer from a Vertical Heated Plate Embedded in a Sparsely Packed Porous Medium

Effect of internal heat generation on free convective power-law variable temperature past a vertical plate considering exponential variable viscosity and thermal conductivity

Effects of Variable Fluid Properties on a Double Diffusive Mixed Convection Viscous Fluid Over a Semi Infinite Vertical Surface in a Sparsely Packed Medium

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