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1 International Journal of Applied Mechanics and Engineering

1 2006

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Oscillatory hartmann two-fluid flow and heat transfer in a horizontal channel

Umavathi J. C., Mateen A., Chamkha A. J., Al-Mudhaf A.

International Journal of Applied Mechanics and Engineering

2006

Vol. 11, no 1

155-178

An unsteady Hartmann flow of two immiscible fluids through a horizontal channel with time-dependent oscillatory wall transpiration velocity is investigated. One of the fluids is assumed to be electrically conducting while the other fluid and 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 partial differential equations governing the flow and heat transfer are transformed to ordinary differential equations and closed-form solutions are obtained in both fluids' regions of the channel for steady and unsteady conditions. The closed-form results are presented graphically for various values of the Hartmann number, frequency parameter, periodic frequency parameter viscosity and conductivity ratios as well as the Prandtl number to show their effect on the flow and heat transfer characteristics.