The effect of a transversely applied magnetic field on an MHD fully developed mixed convection between two long vertical parallel plates is studied. Velocity, pressure gradient and bulk-temperature profiles are shown graphically and the effects of different parameters like M (Hartmann number), (buoyancy parameter), (wall temperature difference ratio) on the flow are discussed.
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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.
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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.
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A finite-difference solution to the unsteady free and forced convection flow of a dissipative fluid through a homogeneous porous medium past an infinite vertical isothermal plate is derived. Velocity and temperature profiles are shown graphically whereas the numerical values of the skin-friction and the rate of heat transfer are listed in a table. It is observed that the velocity decreases when the permeability parameter 'sigma' or the Grashof number G or the Eckert number E increase. Temperature and the rate of heat transfer are found to increase with increasing 'sigma' but the skin-friction decreases with increasing 'sigma'. The skin-friction decreases with increasing 'sigma'. The skin-friction increases but the rate of heat transfer decreases with increasing G, E (Eckert number) or time t.
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Flow past an impulsively started infinite vertical isothermal plate in the presence of thermal radiation effects is studied here. The fluid considered is a gray, absorbing-emitting radiation but a non-scattering medium. It is observed that for an increase in radiation parameter N or the Grashof number Gr, there is a fall in the velocity or temperature, but compared to the no-radiation case, there is a rise in the velocity and temperature of the fluid.
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An approximate analysis of a two-dimensional flow of an electrically conducting incompressible viscous fluid past an infinite porous plate, stationary or steadily moving in its own plane, is presented under the following conditions: i) suction velocity oscillates about a constant non-zero mean; ii) the free stream velocity oscillating in time about a constant mean; iii) constant heat flux at the plate; iv) presence of free convection currents due to the temperature difference; v) a uniform transverse magnetic field. Approximate solutions to coupled nonlinear equations governing the problem have been derived for the transient velocity, the transient temperature, the amplitude and the phase of the skin-friction and the Nusselt number. During the course of analysis, the effects of the Grashof number Gr, the magnetic field parameter M, the suction parameter A, the Eckert number E, the velocity of the plate V and the frequency 'omega' have been discussed.
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.
Combined free and forced convection flow of water at 4oC has been studied when the free-stream is of the form exp (mx/2) where m is a constant and x is the distance measured along the semi-infinite vertical plate from the leading edge. Similarity solutions are obtained and the velocity and temperature profiles are shown on graphs, whereas the numerical values of the skin-friction and the rate of heat transfer are listed in a table. The effects of the fall in the temperature of water from 20oC to 4oC are discussed. Also the effects of Gr/Re2 (Gr - the Grashof number and Re - the Reynolds number) on the skin friction and the heat transfer are discussed.
Transient free convection flow of an incompressible viscous fluid past a semi-infinite vertical plate has been studied by using an implicit finite-difference technique, which is always stable and convergent. The effect of the dissipation parameter ? on time to reach steady-state is studied. It is observed that time required to reach steady-state temperature increases with the increasing Prandtl number of fluid. Also there is a rise in the average skin-friction and a fall in the average Nusselt number due to greater viscous dissipative heat.
Flow past a continuously moving semi-infinite vertical plate in the upward direction is studied here. With usual boundary layer transformations, the boundary layer equations are reduced to local non-similar ordinary differential equations which are solved numerically. Velocity and temperature profiles are shown on graphs and the numerical values of the skin-friction and the rate of heat transfer are listed in a Table. It is observed that there occurs separation of low Prandtl number fluids at large values of Gr/Re2 where Gr is the Grashof number and Re is the Reynolds number. Greater viscous dissipative heat causes a fall in both the skin-friction and the rate of heat transfer.
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