Abstract:
The unsteady MHD flow of an incompressible viscous electrically conducting fluid between two horizontal parallel non conducting plates, where the lower one is stretching sheet and the upper one is oscillating porous plate, is studied in the presence of a transverse magnetic field and the effects of Hall current. Fluid motion is caused by the stretching of the lower sheet and a constant suction is applied at the upper plate which is oscillating in its own plane. The stretching velocity of the sheet is assumed to be a linear function of distance along the channel. The expressions relating to the velocity distribution are obtained and effects of different values of various physical parameters are calculated numerically and shown graphically.

Abstract:
This paper investigates effects of Hall current on flow of unsteady magnetohydrodynamic (MHD)
axisymmetric second-grade fluid with suction and blowing over a sheet stretching exponentially
with radius. The governing non-linear partial differential equations describing the problem are
converted to a system of non-linear ordinary differential equations by using the similarity transformations.
The complex analytical solution is found by using the homotopy analysis method
(HAM). The existing literature on the topic shows that it is the first study regarding the effects of
Hall current on flow over an exponentially stretching sheet in cylindrical coordinates. The convergence
of the obtained complex series solutions is carefully analyzed. The effects of dimensionless
parameters on the radial and axial components of the velocity are illustrated through plots.
Also the effects of the pertinent parameters on the shear stress at the wall are presented numerically
in tabular form.

Abstract:
The objective of this paper is to analyze the effect of chemical reaction on unsteady magneto hydrodynamic free convective fluid flow past a vertical porous plate in the presence of suction or injection. The governing equations of the flow field are solved numerically by a finite element method. The effects of the various parameters on the velocity, temperature and concentration profiles are presented graphically and values of skin-friction coefficient, Nusselt number and Sherwood number for various values of physical parameters are presented through tables.

Abstract:
This paper focuses on the effects of chemical reaction on an unsteady magnetohydrodynamic free convection fluid flow past an infinite vertical porous plate with constant suction. The dimensionless governing equations are solved numerically by a finite element method. The effects of the various parameters on the velocity, temperature and concentration profiles are presented graphically and values of skin-friction coefficient, Nusselt number and Sherwood number for various values of physical parameters are presented through tables.

Abstract:
numerical solutions for the effects of radiation on a mhd convective heat transfer past a semi-infinite porous plate with a magnetic field are obtained. it is assumed that the porous plate moves with a constant velocity in the direction of fluid flow, and the free stream velocity follows the exponentially increasing small perturbation law. the magnetic field acts perpendicular to the porous surface which absorbs the fluid with a suction velocity varying with time. the governing equations for the flow are transformed into a system of nonlinear ordinary differential equations by perturbation technique and then are solved numerically by using the shooting method. the effects of the various parameters on the velocity, temperature profiles as well as the surface skin-friction and surface heat transfer are illustrated graphically.

Abstract:
Numerical solutions for the effects of radiation on a MHD convective heat transfer past a semi-infinite porous plate with a magnetic field are obtained. It is assumed that the porous plate moves with a constant velocity in the direction of fluid flow, and the free stream velocity follows the exponentially increasing small perturbation law. The magnetic field acts perpendicular to the porous surface which absorbs the fluid with a suction velocity varying with time. The governing equations for the flow are transformed into a system of nonlinear ordinary differential equations by perturbation technique and then are solved numerically by using the shooting method. The effects of the various parameters on the velocity, temperature profiles as well as the surface skin-friction and surface heat transfer are illustrated graphically.

Abstract:
The study of unsteady hydromagnetic free convective memory flow of incompressible and electrically conducting fluids past an infinite vertical porous plate in the presence of constant suction and heat absorbing sinks have been made. Approximate solutions have been derived for the mean velocity, mean temperature, mean skin-friction and mean rate of heat transfer using multi-parameter perturbation technique. It is observed that magnetic field strength decreases the mean velocity of the fluid. Also the mean skin-friction and mean rate of heat transfer of the conducting fluid decreases with the increase in magnetic field strength.

The model of mass transfer on free convective flow of a viscous incompressible electrically conducting fluid past vertically porous plate through a porous medium with time dependant permeability and oscillatory suction in presence of a transverse magnetic field is considered. Perturbation technique is obtained the solution for velocity field and concentration distribution analytically. The effects of the flow parameters on the velocity field and concentration distribution are presented with the aid of figures. Also, the skin friction and the rate of mass transfer are calculated with the aid of tables.

Abstract:
this paper deals with the mixed convection hydromagnetic oscillatory flow and periodic heat transfer of a viscous incompressible and electrically conducting fluid past an infinite vertical porous plate. the plate is subjected to a constant suction velocity and heat absorbing sinks, while the free stream is oscillating with time. a magnetic field of uniform strength is applied in the direction normal to the plate. the transient, nonlinear and coupled governing equations are solved using multi-parameter perturbation technique. approximate solutions have been derived for the velocity and temperature fields as well as mean skin-friction and mean rate of heat transfer. it is found that, the increase in magnetic field strength leads to decrease transient velocity as well as temperature. further, the amplitude (|h|) as well as phase (tan_) of the mean rate of heat transfer increases with increasing magnetic field strength (m) for electrolytic solution (pr=1.0), while a reverse phenomenon is observed for mercury (pr=0.025).

Abstract:
This paper deals with the mixed convection hydromagnetic oscillatory flow and periodic heat transfer of a viscous incompressible and electrically conducting fluid past an infinite vertical porous plate. The plate is subjected to a constant suction velocity and heat absorbing sinks, while the free stream is oscillating with time. A magnetic field of uniform strength is applied in the direction normal to the plate. The transient, nonlinear and coupled governing equations are solved using multi-parameter perturbation technique. Approximate solutions have been derived for the velocity and temperature fields as well as mean skin-friction and mean rate of heat transfer. It is found that, the increase in magnetic field strength leads to decrease transient velocity as well as temperature. Further, the amplitude (|H|) as well as phase (tan_) of the mean rate of heat transfer increases with increasing magnetic field strength (M) for electrolytic solution (Pr=1.0), while a reverse phenomenon is observed for mercury (Pr=0.025).