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HALL-CURRENT EFFECTS ON UNSTEADY MHD FLOW BETWEEN STRETCHING SHEET AND AN OSCILLATING POROUS UPPER PARALLEL PLATE WITH CONSTANT SUCTION  [cached]
Malraju Changal Raju,Narravula Ananda Reddy,Sibyala Vijaya Kumar Varma
Thermal Science , 2011, DOI: tsci1102527c
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.
Effects of Hall Current on Flow of Unsteady MHD Axisymmetric Second-Grade Fluid with Suction and Blowing over an Exponentially Stretching Sheet  [PDF]
Haider Zaman, Arif Sohail, Azhar Ali, Tarique Abbas
Open Journal of Modelling and Simulation (OJMSi) , 2014, DOI: 10.4236/ojmsi.2014.22005
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.
Chemical reaction effect on an unsteady MHD free convection flow past a vertical porous plate in the presence of suction or injection
Shivaiah S.,Rao Anand J.
Theoretical and Applied Mechanics , 2012, DOI: 10.2298/tam1202185s
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.
CHEMICAL REACTION EFFECT ON AN UNSTEADY MHD FREE CONVECTION FLOW PAST AN INFINITE VERTICAL POROUS PLATE WITH CONSTANT SUCTION  [PDF]
J. ANAND RAO,S. SHIVAIA
Chemical Industry and Chemical Engineering Quarterly , 2011,
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.
The effects of radiation on unsteady mhd convective heat transfer past a semi-infinite vertical porous moving surface with variable suction
Mahdy,A.;
Latin American applied research , 2008,
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.
The effects of radiation on unsteady mhd convective heat transfer past a semi-infinite vertical porous moving surface with variable suction  [cached]
A. Mahdy
Latin American applied research , 2008,
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.
MHD unsteady free convective Walter’s memory flow with constant suction and heat sink  [PDF]
M.V Ramana Murthy,G. Noushima Humera,Rafiuddin,M. Chenna Krishan Reddy
Journal of Engineering and Applied Sciences , 2007,
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.
Solution of MHD Flow past a Vertical Porous Plate through a Porous Medium under Oscillatory Suction  [PDF]
Ashraf A. Moniem, W. S. Hassanin
Applied Mathematics (AM) , 2013, DOI: 10.4236/am.2013.44096
Abstract:

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.

Free and forced convective MHD oscillatory flow over an infinite porous surface in an oscillating free stream
Ahmed,S.;
Latin American applied research , 2010,
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).
Free and forced convective MHD oscillatory flow over an infinite porous surface in an oscillating free stream  [cached]
S. Ahmed
Latin American applied research , 2010,
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).
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