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1

Unsteady two-layered fluid flow and heat transfer of conducting fluids in a channel between parallel porous plates under transverse magnetic field

Linga Raju T., Nagavalli M.

International Journal of Applied Mechanics and Engineering

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2013

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Vol. 18, no. 3

699--726

EN

The unsteady magnetohydrodynamic flow of two immiscible fluids in a horizontal channel bounded by two parallel porous isothermal plates in the presence of an applied magnetic and electric field is investigated. The flow is driven by a constant uniform pressure gradient in the channel bounded by two parallel insulating plates, one being stationary and the other oscillating, when both fluids are considered as electrically conducting. Also, both fluids are assumed to be incompressible with variable properties, viz. different viscosities, thermal and electrical conductivities. The transport properties of the two fluids are taken to be constant and the bounding plates are maintained at constant and equal temperatures. The governing equations are partial in nature, which are then reduced to the ordinary linear differential equations using two-term series. Closed form solutions for velocity and temperature distributions are obtained in both fluid regions of the channel. Profiles of these solutions are plotted to discuss the effect on the flow and heat transfer characteristics, and their dependence on the governing parameters involved, such as the Hartmann number, porous parameter, ratios of the viscosities, heights, electrical and thermal conductivities.

2

Mass transfer effects on free convection flow past an infinite vertical porous plate

Dubewar A. V., Soundalgekar V. M.

International Journal of Applied Mechanics and Engineering

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2005

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Vol. 10, no 4

605-615

EN

An approximate solution to the flow past an infinite vertical porous plate in the presence of mass transfer is derived. Velocity and temperature profiIes are shown graphically for air and water. The numerical values of the skin-friction and the Nusselt number are listed in tables. The effects of differenl parameters like N (buoyancy ratio parameter), y (suction parameter), Pr (Prandtl number), E (Eckert number), Sc (Schmidt number) on the flow of air and water are discussed.

3

Transient free convection flow of dissipative fluid past an infinite vertical porous plate

Soundalgekar V. M., Uplekar A. G., Jaiswal B. S.

Archives of Mechanics

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2004

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Vol. 56, nr 1

7-17

EN

A finite-difference analysis of transient free convection flow of a dissipative fluid past an infinite vertical porous plate is presented here. Velocity, temperature, skin-friction and Nusselt number are shown graphically and the effects of different parameters on the flow field are discussed.

4

Combined mixed convection flow past a semi-infinite vertical porous plate with oscillating plate temperature

Vighnesam N. V., Soundalgekar V. M., Ray S. N.

Applied Mechanics and Engineering

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2000

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Vol. 5, no 3

673-683

EN

Mixed convection flow past a semi-infinite vertical porous plate is studied here when the plate temperature is oscillating about a non-zero mean. Mean velocity, mean temperature, in-phase and out of phase components of unsteady part of the temperature are shown graphically. It is observed that an increase in suction velocity leads to an increase and an increase in injection velocity leads to a decrease in the amplitude of the rate of heat transfer. Also at large values of frequency, the oscillating component of temperature is superimposed on the mean temperature and is found to be unaffected by and suction-injection velocity.