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2 International Journal of Applied Mechanics and Engineering

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Steady axisymmetric flow and heat transfer of micropolar fluid over a vertical permeable slender cylinder in the presence of thermal radiation

Mansour M. A., Mohamed R. A., Abd Elaziz M. M., Ahmed S. E.

International Journal of Applied Mechanics and Engineering

2010

Vol. 15, no 4

1185-1203

The effects of thermal radiation and suction/blowing on an axisymmetric flow and heat transfer of a micropolar fluid over a vertical slender cylinder are analyzed. The partial differential equations governing the flow and heat transfer have been transformed to ordinary differential equations by using similarity transformations which are then solved numerically. The numerical results are validated by favorable comparisons with previously published results. The cases of buoyancy-assisted flow, pure mixed convection, buoyancy opposed flow, permeable cylinder, impermeable cylinder, Newtonian fluids and non-Newtonian fluids as well as the case which represents concentrated particle flow in which the microelements close to the wall surface are unable to rotate and the case which indicates vanishing of an antisymmetric part of the stress tensor are considered. A parametric study of the governing parameters, namely the buoyancy parameter, suction/injection parameter, radiation parameter, vortex viscosity parameter, curvature parameter and microgyration boundary conditions parameter on the linear velocity, angular velocity and temperature as well as the wall stress, wall couple stress and the rate of heat transfer is conducted. A selected set of numerical results is presented graphically and discussed.

Thermal non-equilibrium model for mhd micropolar free convection from elliptic cylinders in a porous medium

Mansour M. A., Gorla R. S. R., Abd El-Aziz M. M., Ahmed S. E.

International Journal of Applied Mechanics and Engineering

2009

Vol. 14, no 2

443-459

This work uses a thermal non-equilibrium model to study the free convection boundary layer flow from cylinders of elliptic cross-section with uniform suction or injection in a micropolar fluid through a porous medium in the presence of a uniform magnetic field. The transformed conservation equations of the nonsimilar boundary layers are solved numerically by the shooting technique with a fourth-order Runge-Kutta integration scheme and the results compare very well with published results. The results obtained are displayed graphically to illustrate the influences of different physical parameters on the local heat transfer rate (Nusselt number) for the fluid and solid phases, velocity, angular velocity and streamlines.