13 research outputs found
Effects of Hall Current on Unsteady MHD Couette Flow of Class-II in a Rotating System
Unsteady hydromagnetic Couette flow of class-II of a viscous incompressible electrically conducting fluid in a rotating system with Hall effects in the presence of a uniform transverse magnetic field is studied. Both the fluid and plates of the channel are assumed to be at rest when time and fluid flow within the channel is induced due to non-torsional oscillations of the upper plate in its own plane with a velocity about a non-zero uniform velocity at time . Exact solution of the governing equations is obtained by Laplace transform technique. Asymptotic behavior of the solution is analyzed for small and large values of rotation parameter and magnetic parameter when time t>>1. The numerical values of the fluid velocity are depicted graphically whereas that of shear stress at the plates are presented in tabular form for various values of Hall current parameter , rotation parameter , magnetic parameter and frequency parameter
Hydromagnetic rotating flow of Casson fluid in Darcy-Forchheimer porous medium
Present study investigates three dimensional rotating flow of Casson fluid in the presence of magnetic field over a convectively heated linear stretching sheet. Concept of nonlinear radiative heat transfer is considered. The governing nonlinear partial differential equations are converted into ordinary differential equations with the help of similarity transformation and then solved by using shooting method along with Runge-Kutta-Fehlberg integration technique. The primary and secondary velocities and temperature profiles are plotted and analysed corresponding to various pertinent flow parameters. Also, the skin friction for both directions and rate of heat transfer at the surface are computed and explained
Unsteady Hydromagnetic Natural Convection Flow past an Impulsively Moving Vertical Plate with Newtonian Heating in a Rotating System
An investigation of unsteady hydromagnetic natural convection flow of a viscous, incompressible, electrically conducting and heat absorbing fluid past an impulsively moving vertical plate with Newtonian heating embedded in a porous medium in a rotating system is carried out. The governing partial differential equations are first subjected to Laplace transformation and then inverted numerically using INVLAP routine of Matlab. The governing partial differential equations are also solved numerically by Crank-Nicolson implicit finite difference scheme and a comparison has been provided between the two solutions. The numerical solution for fluid velocity and fluid temperature are depicted graphically whereas the numerical values of skin friction and Nusselt number are presented in tabular form for various values of pertinent flow parameters. Present solution in special case is compared with previously obtained solution and is found to be in excellent agreement
Effects of Hall Current and Rotation on Unsteady MHD Couette Flow in the Presence of an Inclined Magnetic Field
Unsteady hydromagnetic Couette flow of a viscous incompressible electrically conducting fluid in a rotating system
in the presence of an inclined magnetic field taking Hall current into account is studied. Fluid flow within the channel
is induced due to impulsive movement of the lower plate of the channel. Exact solution of the governing equations is
obtained by Laplace transform technique. The expression for the shear stress at the moving plate is also derived.
Asymptotic behavior of the solution is analyzed for small and large values of time t to highlight (i) the transient
approach to the final steady state flow and (ii) the effects of Hall current, magnetic field, rotation and angle of
inclination of magnetic field on the flow-field. It is found that Hall current and rotation tend to accelerate fluid
velocity in both the primary and secondary flow directions. Magnetic field has retarding influence on the fluid
velocity in both the primary and secondary flow directions. Angle of inclination of magnetic field has accelerating
influence on the fluid velocity in both the primary and secondary flow directions
Heat and Mass Transfer Effects on Unsteady MHD Natural Convection Flow of a Chemically Reactive and Radiating Fluid through a Porous Medium Past a Moving Vertical Plate with Arbitrary Ramped Temperature
Investigation of unsteady hydromagnetic natural convection flow with heat and mass transfer of a viscous,
incompressible, electrically conducting, chemically reactive and optically thin radiating fluid past an
exponentially accelerated moving vertical plate with arbitrary ramped temperature embedded in a fluid
saturated porous medium is carried out. Exact solutions of momentum, energy and concentration equations
are obtained in closed form by Laplace transform technique. The expressions for the shear stress, rate of heat
transfer and rate of mass transfer at the plate for both ramped temperature and isothermal plates are derived.
The numerical values of fluid velocity, fluid temperature and species concentration are displayed graphically
whereas those of shear stress, rate of heat transfer and rate of mass transfer at the plate are presented in
tabular form for various values of pertinent flow parameters. It is found that, for isothermal plate, the fluid
temperature approaches steady state when t 1.5 . Consequently, the rate of heat transfer at isothermal plate
approaches steady state when t 1.5
Effects of Rotation and Magnetic Field on Unsteady Couette Flow in a Porous Channel
Unsteady hydromagnetic Couette flow of a viscous incompressible electrically conducting fluid in a rotating system
in the presence of a uniform transverse magnetic field is studied. The plates of the channel are considered porous and
fluid flow within the channel is induced due to the impulsive movement of the upper plate of the channel. General
solution of the governing equations is obtained which is valid for every value of time t. For small values of time t, the
solution of the governing equations is obtained by Laplace transform technique. The expression for the shear stress at
the stationary plate due to the primary and secondary flows is obtained in both the cases. It is found that the solution
obtained by Laplace transform technique converges more rapidly than the general solution when time t is very small.
Magnetic field retards the fluid flow in both the primary and secondary flow directions. Rotation retards primary flow
whereas it accelerates secondary flow. There exists incipient flow reversal near the stationary plate on increasing
rotation parameter K2. Suction accelerates primary flow whereas it retards secondary flow. Injection retards both the
primary and secondary flows
Effects of Thermal Radiation and Rotation on Unsteady Hydromagnetic Free Convection Flow past an Impulsively Moving Vertical Plate with Ramped Temperature in a Porous Medium
The effects of radiation and rotation on unsteady hydromagnetic free convection flow of a viscous incompressible electrically conducting fluid past an impulsively moving infinite vertical plate with ramped temperature in a porous medium are investigated. Exact solution of momentum and energy equations, under Boussinesq approximation, is obtained in closed form by Laplace transform technique. To compare the results obtained in this case with that of isothermal plate, exact solution of the governing equations is also obtained for isothermal plate. The expressions for the primary and secondary skin frictions and Nusselt number are also derived. It is noticed that, for both ramped temperature and isothermal plates, rotation retards fluid flow in the primary flow direction whereas it accelerates fluid flow in the secondary flow direction in the boundary layer region while radiation exerts accelerating influence on the fluid flow in both the primary and secondary flow directions. For ramped temperature plate radiation reduces primary skin friction whereas it tends to increase secondary skin friction. For isothermal plate radiation has tendency to reduce secondary skin friction. Radiation tends to increase fluid temperature for both ramped temperature and isothermal plates. With the increase in time the rate of heat transfer at the plate is reduced for isothermal plate while it is increased for ramped temperature plate
Unsteady Hydromagnetic Natural Convection Flow of a Heat Absorbing Fluid within a Rotating Vertical Channel in Porous Medium with Hall Effects
Unsteady hydromagnetic natural convection flow of a viscous, incompressible, electrically conducting and temperature dependent heat absorbing fluid confined within a parallel plate rotating vertical channel in porous medium is investigated. Fluid flow within the channel is induced due to impulsive movement of one of the plates of the channel. Exact solution for the governing equations for fluid velocity and fluid temperature are obtained by Laplace transform technique. The expressions for the shear stress at the moving plate due to primary and secondary flows and those of rate of heat transfer at the moving and stationary plates are also derived. In order to gain some physical insight into the flow pattern, asymptotic behavior of the solution for fluid velocity and fluid temperature are analyzed for small and large values of time. The numerical values of primary and secondary fluid velocities and fluid temperature are displayed graphically whereas those of shear stress at the moving plate and rate of heat transfer at both the moving and stationary plates are presented in
tabular form for various values of pertinent flow parameters
Hydromagnetic rotating flow of Casson fluid in Darcy-Forchheimer porous medium
Present study investigates three dimensional rotating flow of Casson fluid in the presence of magnetic field over a convectively heated linear stretching sheet. Concept of nonlinear radiative heat transfer is considered. The governing nonlinear partial differential equations are converted into ordinary differential equations with the help of similarity transformation and then solved by using shooting method along with Runge-Kutta-Fehlberg integration technique. The primary and secondary velocities and temperature profiles are plotted and analysed corresponding to various pertinent flow parameters. Also, the skin friction for both directions and rate of heat transfer at the surface are computed and explained