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MHD natural convection heat and mass transfer in a micropolar fluid from radiate vertical porous surfaces with chemical reaction

Modather M., Abdou M., El-Kabeir S. M.

International Journal of Applied Mechanics and Engineering

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2007

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Vol. 12, no 3

745-765

EN

The effect of a chemical reaction on the free convection flow of a viscous incompressible conductive micropolar fluid from a radiative vertical porous plate with a uniform surface temperature, uniform rate of suction or injection and uniform magnetic field is investigated. The Rosseland diffusion approximation is used to describe the radiative heat flux in the energy equation. As the micropolar parameter increases the temperature, concentration and microrotation increase while the velocity decreases for the suction and injection case and increasing the chemie al reaction parameter decreases the velocity, concentration and microrotation for the suction and injection case while the temperature increases with the increasing of the chemical reaction parameter.

2

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.

3

Effect of heat and mass transfer on free convection flow over a cone with uniform suction or injection in micropolar fluids

El-Kabeir S. M., Modather M., Mansour M. A.

International Journal of Applied Mechanics and Engineering

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2006

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Vol. 11, no 1

15-35

EN

A regular perturbation is presented to study the effect of heat and mass transfer on free convection flow with a uniform suction and injection over a cone in a micropolar fluid. The velocity, temperature, concentration and microrotation profiles were computed for various values of suction/injection, Schmidt number and micropolar parameters. The governing equations are first cast into a dimensionless form by a nonsimilar transformation and the resulting equations are then solved numerically by using the Runge-Kutta numerical integration, the procedure in conjunction with the shooting technique. The results indicate that as the micropolar parameter increases the wall couple stress, the shear stress, the Nusselt number and Sherwood number decrease with it. While the Shmidt number increases the shear stress, the wall couple stress and Nusselt number decrease, the opposite is true for the Sherwood number. The results are shown in figures and tables followed by a quantitative discussion.

4

Variable viscosity effects on natural convection in micropolar fluid at an axisymetric stagnation point

Mohammadein A. A., El-Kabeir S. M., Gorla R. S. R.

Applied Mechanics and Engineering

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1998

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Vol. 3, no 4

539-552

EN

A three-dimensional boundary layer solution is presented for the natural convection in a micropolar fluid in the vicinity of an axisymmetric stagnation point on heated vertical surfaces. The effects of variable viscosity are included. The governing equations for the velocity, microrotation and temperature fields are solved numerically.