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2 International Journal of Applied Mechanics and Engineering

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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.

Fully developed flow and heat transfer in a horizontal channel containing an electrically conducting fluid sandwiched between two fluid layers

Umavathi J. C., Malashetty M. S., Mateen A.

International Journal of Applied Mechanics and Engineering

2004

Vol. 9, no 4

781-794

The problem of fully developed flow and heat transfer in a horizontal channel consisting of an electrically conducting fluid layer sandwiched between two fluid layers is studied analytically. The fluids in all phases are assumed to be incompressible and immiscible. Further the fluids are assumed to have different viscosities and thermal conductivities. The governing differential equations are linear and exact solutions are obtained. The expressions for velocity and temperature distributions are computed numerically for different values of physical parameters and the results are presented graphically. The effect of increasing the Hartmann number M is to decrease the velocity and temperature field. It is found that with suitable values of ratios of viscosities and thermal conductivities, the velocity and temperature can be increased.