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1
Content available Effects of Hall current on unsteady hydromagnetic free convection flow past an impulsively moving vertical plate with Newtonian heating
Seth G. S., Sarkar S., Sharma R.
International Journal of Applied Mechanics and Engineering
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2016
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Vol. 21, no. 1
187--203
EN
An investigation of unsteady hydromagnetic free convection flow of a viscous, incompressible and electrically conducting fluid past an impulsively moving vertical plate with Newtonian surface heating embedded in a porous medium taking into account the effects of Hall current is carried out. The governing partial differential equations are first subjected to the Laplace transformation and then inverted numerically using INVLAP routine of Matlab. The governing partial differential equations are also solved numerically by the Crank-Nicolson implicit finite difference scheme and a comparison has been provided between the two solutions. The numerical solutions for velocity and temperature are plotted graphically whereas the numerical results of skin friction and the Nusselt number are presented in tabular form for various parameters of interest. The present solution in special case is compared with a previously obtained solution and is found to be in excellent agreement.
2
Content available MHD natural convection flow with radiative heat transfer past an impulsively moving vertical plate with ramped temperature in the presence of hall current and thermal diffusion
Seth G. S., Mahato G. K., Sarkar S.
International Journal of Applied Mechanics and Engineering
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2013
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Vol. 18, no. 4
1201--1220
EN
An investigation on an unsteady MHD natural convection flow with radiative heat transfer of a viscous, incompressible, electrically conducting and optically thick fluid past an impulsively moving vertical plate with ramped temperature in a porous medium in the presence of a Hall current and thermal diffusion is carried out. An exact solution of momentum and energy equations, under Boussinesq and Rosseland approximations, is obtained in a closed form by the Laplace transform technique for both ramped temperature and isothermal plates. Expressions for the skin friction and Nusselt number for both ramped temperature and isothermal plates are also derived. The numerical values of fluid velocity and fluid temperature are displayed graphically versus the boundary layer coordinate y for various values of pertinent flow parameters for both ramped temperature and isothermal plates. The numerical values of the skin friction due to primary and secondary flows are presented in tabular form for various values of pertinent flow parameters.
3
Content available remote Unsteady MHD Couette flow of class-II of a viscous incompressible electrically conducting fluid in a rotating system
Seth G. S., Singh J. K.
International Journal of Applied Mechanics and Engineering
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2012
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Vol. 17, no. 2
495-512
EN
An unsteady hydromagnetic Couette flow of class-II of a viscous incompressible electrically conducting fluid in a rotating system is studied. The fluid flow within the channel is induced due to non-torsional oscillations of the upper plate of the channel. An exact solution of the governing equations is obtained by the Laplace transform technique. The numerical solution of the fluid velocity is depicted graphically whereas numerical values of shear stress at the plates are presented in a tabular form for various values of the magnetic parameter, rotation parameter and frequency parameter.
4
Content available remote Unsteady Hartmann flow in a rotating channel with perfectly conducting walls
Seth G. S., Ansari Md. S., Nandkeolyar R.
International Journal of Applied Mechanics and Engineering
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2011
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Vol. 16, no 4
1129-1146
EN
An unsteady Hartmann flow of a viscous incompressible electrically conducting fluid in a rotating channel with perfectly conducting walls under the action of a periodic pressure gradient is studied. An exact solution of the governing equations for the fully developed flow is obtained in a closed form. The expression for the shear stress at the upper plate is also derived. The solutions valid for vanishing and small finite magnetic Prandtl number are derived from the general solution. The asymptotic behavior of these solutions is analyzed, for large values of the frequency parameter […], to gain some physical insight into the flow pattern. It is found that a magnetic field tends to retard the fluid flow in both the primary and secondary flow directions whereas oscillations and rotation tend to accelerate it in both the directions. The magnetic field reduces primary and secondary induced magnetic fields whereas oscillations and rotation have reverse effect on it. The magnetic field reduces the primary as well as secondary shear stress at the upper plate […] whereas oscillations and rotation tend to increase it.
5
Content available remote Effects of Hall current on unsteady hydromagnetic Couette flow in a rotating system induced by an accelerated movement of one of the plates of the channel in the presence of an inclined magnetic field
Seth G. S., Nandkeolyar R., Ansari M. S.
International Journal of Applied Mechanics and Engineering
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2011
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Vol. 16, no 3
835-849
EN
Effects of Hall current on an unsteady hydromagnetic Couette flow, induced due to an accelerated movement of the lower plate of the channel in a rotating system when the fluid flow is permeated by an inclined magnetic field is studied. An exact solution for the fluid velocity is obtained by the Laplace transform technique. The expression for the shear stress at the moving plate is also derived. An asymptotic behavior of the solution is analyzed for small and large values of time to gain some physical insight into the flow-pattern. It is found that Hall current, rotation and angle of inclination of the magnetic field tend to accelerate fluid flow in both the primary and secondary flow directions, whereas the magnetic field has a tendency to retard fluid flow in both the primary and secondary flow directions.
6
Content available remote MHD natural convection flow past an impulsively moving vertical plate with ramped wall temperature in the presence of thermal diffusion with heat absorption
Seth G. S., Ansari Md. S.
International Journal of Applied Mechanics and Engineering
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2010
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Vol. 15, no 1
199-215
EN
Hydromagnetic natural convection flow of a viscous incompressible electrically conducting and heat-absorbing fluid past an impulsively moving vertical plate with ramped wall temperature in a porous medium, in the presence of thermal diffusion, is studied. The exact solution of momentum and energy equations, under the Boussinesq approximation, is obtained in closed form by the Laplace transform technique. The expressions for the skin friction and Nusselt number are also derived. The variations in fluid velocity and temperature are shown graphically whereas numerical values of skin friction and the Nusselt number are presented in tabular form for various values of pertinent flow parameters. The natural convection flow near a ramped temperature plate is also compared with the flow near an isothermal plate.
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