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1
Content available remote Combined heat and mass transfer on non-Darcy natural convection in a fluid saturated porous medium with thermophoresis
El-Hakiem M. A., El-Kabeir S. M., Rashad A. M.
International Journal of Applied Mechanics and Engineering
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2007
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Vol. 12, no 1
9-18
EN
The present investigation deals with the combined heat and mass transfer with the effects of thermal dispersion, radiation on non-Darcy natural convection in a fluid saturated porous medium with thermophoresis. The goveming equations, reduced to local similarity boundary layer equations using suitable transformations are obtained. Forchheimer extension is considered in the fIow equations. The coefficient of thermal diffusivity has been assumed to be the sum of molecular diffusivity and the dispersion thermal diffusivity due to mechanical dispersion. Rosseland approximation is used to describe the radiative heat fIux in the energy equation. For the fluids having the Lewis number Le=l.O, 10.0, numerical values of the local Stanton number are presented in a tabular form for different values of the thermophoretic parameter [...], thermal dispersion and thermal radiation for the two cases of Darcy and non-Darcy porous medium. The concentration distributions are show n graphically for various values of the thermophoretic parameter, thermal dispersion and thermal radiation.
2
Content available remote The effect of variable viscosity on MHD natural convection in micropolar fluids
El-Hakiem M. A., Modather M., Abdou M.
International Journal of Applied Mechanics and Engineering
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2006
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Vol. 11, no 2
301-320
EN
The influence of variable viscosity and a transverse magnetic field on natural convection in micropolar fluids is examined. The fluid viscosity is assumed to vary as an inverse linear function of temperature. Four different vertical flows have been analyzed, those adjacent to an isothermal surface and uniform heat flux surface, a plane plume and flow generated from a horizontal line energy source on a vertical adiabatic surface, or wall plume. By means of similarity solutions and deviation of the velocity, temperature and micro-rotation fields as well as the skin friction, heat transfer and wall couple stress results from their constant values are determined.
3
Radiative effects in non-Darcy axisymmetric free convection in a porous medium
El-Hakiem M. A., Gorla R. S. R.
Applied Mechanics and Engineering
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2000
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Vol. 5, no 4
913-921
EN
An analysis is presented for the effect of radiation on non-Darcy axisymmetric free convection in a saturated porous medium. Similarity solutions are obtained for two cases: variable surface temperature condition and uniform surface heat flux condition. Discussion is provided for the effects of radiation, non-Darcy parameter and lateral surface mass flux parameter on heat transfer. The rate of heat transfer in the non-Darcy case is less than in the corresponding Darcy case.
4
Natural convection in a micropolar fluid with internal heat generation and viscous dissipation
El-Hakiem M. A., Gorla R. S. R.
Applied Mechanics and Engineering
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1999
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Vol. 4, no 4
789-799
EN
A similarity solution is presented for the flow of a micropolar fluid along an isothermal vertical plate with an exponentially decaying heat generation term and viscous dissipation. Numerical solutions are obtained for the governing equations. The data for friction factor, Nusselt number and wall couple stress have been tabulated for a range of Prandtl numbers and micropolar parameters.
5
Heat transfer from a stretching surface in a micropolar fluid
El-Hakiem M. A., Mohammadein A. A., Mansour M. A., Gorla R. S. R.
Applied Mechanics and Engineering
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1999
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Vol. 4, no 1
25-34
EN
The theory of micropolar fluids due to Eringen is used to formulate a set of boundary layer equations for the heat transfer from an arbitrarily stretching surface with non-uniform surface temperature. A two dimensional similarity solution to the governing momentum, angular momentum and energy equations is presented. The effects of the boundary conditions used for the microrotation term are discussed. Numerical data for the friction factor and Nusselt number has been shown graphically for a range of values of the material properties.
6
Effect of a transverse magnetic field on natural convection boundary layer flow of a micropolar fluids in a porous medium
El-Hakiem M. A.
Applied Mechanics and Engineering
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1999
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Vol. 4, no 3
509-528
EN
A boundary layer analysis is presented to study the effects of a transverse magnetic field on natural boundary layer flow of a micropolar fluid in a porous medium. Four different vertical flows have been analyzed, those adjacent to an isothermal surface and uniform heat flux surface, a plane plume and flow generated from a horizontal line energy source on a vertical adiabatic surface, or wall plume. The governing equations for momentum, angular momentum and energy have been solved numerically. Missing values of the velocity, angular velocity and thermal functions are tabulated for a wide range of the material parameters, Prandtl number and magnetic parameter of the fluid. A comparison has been made with the corresponding results for Newtonian fluids. Micropolar fluids display drag reduction and reduced surface heat transfer rate in a porous medium as compared with Newtonian fluids.
7
Hiemenz flow of a micropolar fluid in hydromagnetics
Mohammadein A. A., El Kabeir S. M., El-Hakiem M. A., Gorla R. S. R.
Applied Mechanics and Engineering
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1998
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Vol. 3, no 3
367-376
EN
A boundary layer analysis has been presented for Hiemenz flow in hydromagnetics of a micropolar incompressible, viscous, electrically conducting fluid impinging normal to a plane in the presence of a transverse magnetic field. Numerical solutions are given for the governing momentum and angular momentum equations. An approximate solution is given which is simple and yet sufficiently accurate for the entire range of values of Harman number investigated. A discussion has been provided for the effect micropolar parameters on Hiemenz flow in hydromagnetics.
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