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2 International Journal of Applied Mechanics and Engineering

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Flow and heat transfer of Poiseuille-Couette flow in an inclined channel for composite porous medium

Umavathi J. C., Kumar J. P., Sridhar K. S. R.

International Journal of Applied Mechanics and Engineering

2010

Vol. 15, no 1

249-266

An analysis of the Poiseuille-Couette flow in an inclined channel in a composite porous medium is presented. The flow is modeled using the Darcy-Lapwood-Brinkman equation. The viscous and Darcy dissipation terms are included in the energy equation. The coupled nonlinear equations are solved analytically using the regular perturbation method and numerically using the finite difference method. The effects of various parameters such as the porous parameter, inclination angle, Grashof number, ratios of heights, viscosities and thermal conductivities are discussed.

Hartmann two-fluid Poiseuille-Couette flow in an inclined channel

Umavathi J. C., Sridhar K. S. R.

International Journal of Applied Mechanics and Engineering

2009

Vol. 14, no 2

539-557

A numerical and analytical study of a two fluid magnetohydrodynamic Poiseuille-Couette flow in an inclined channel is investigated. The fluids in both the regions are incompressible, electrically conducting and the transport properties are assumed to be constant. The channel walls are assumed to be electrically insulating. Separate solutions for each fluid are obtained and these solutions are matched at the interface using suitable matching conditions. The governing equations of motion are solved analytically and are valid for small Eckert numbers and numerically valid for large . Solutions for large show a marked change on the velocity and temperature profiles. The results are presented graphically for various Hartmann number, Grashof number, angle of inclination and also for various ratios. It is found that the flow can be controlled effectively by a suitable choice of values of ratios of electrical conductivities, widths, viscosities and thermal conductivities.