Effects of Radiation on MHD Flow with Induced Magnetic Field

Author(s):  
Lipika Panigrahi ◽  
J. P. Panda
2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Shihhao Yeh ◽  
Tsai-Jung Chen ◽  
Jik Chang Leong

The steady-state problem of a magnetic fluid filling a porous annulus between two cylindrical walls under the influence of a nonuniform radially outward magnetic field has been investigated. The cylindrical walls are either electrically perfectly insulated or electrically perfectly conducting. The permeability of the porous annulus increases with its radial location. The governing partial differential equations were derived carefully and closed form solutions for the profiles of the velocity component and the induced magnetic component were obtained. The effect of the strength of the externally applied magnetic field, the permeability of the porous annulus, and the conductivity of the cylindrical walls were examined through the angular velocity components, as well as the induced magnetic field.


2014 ◽  
Vol 44 (1) ◽  
pp. 9-17
Author(s):  
S. AHMED ◽  
A. BATIN

An approximate solution to the problem of steady free convective MHD flow of an incompressible viscous electrically-conducting fluid over an infinite vertical isothermal porous plate with mass convection is presented here. A uniform magnetic field is assumed to be applied transversely to the direction of the flow, taking into account the induced magnetic field with viscous and magnetic dissipations of energy. The dimensionless governing equations are solved by using the series solution method. The induced magnetic field, current density, temperature gradient and flow velocity are studied for magnetohydrodynamic body force, magnetic Prandtl number, Schmidt number and Eckert number. It is observed that the induced magnetic field is found to increase with a rise in magnetic Prandtl number. Current density is strongly reduced with increasing magnetic Prandtl number, but enhanced with Schmidt number. The acquired knowledge in our study can be used by designers to control MHD flow as suitable for a certain applications such as laminar magneto-aerodynamics, and MHD propulsion thermo-fluid dynamics.


2020 ◽  
pp. 331-336
Author(s):  
Sayahnya Roy ◽  
Gunasekaran N ◽  
Krishnendu Barman ◽  
Koustuv Debnath ◽  
Prantik Sinha

This study presents the turbulent flow around two square ribs. The numerical computations performed using k–ε model at Reynolds number (Re) = 60000 to quantify the turbulent transport measures. The magnetic field has been applied by Hartmann number (Ha) to generate the magnetohydrodynamic (MHD) flow. The reduction of recirculation region was observed due to the application of magnetic field in the flow. The weak recirculation has an effect on small vorticity generation, which leads to small turbulent kinetic energy (TKE) and TKE dissipation rate generation in the wake region behind the rib. The induced magnetic field is capable of controlling the vortex structures around the square ribs. Results in decreasing magnitude of turbulence level around and between the spaces of the square ribs. It may be hypothesized that by introducing magnetic field, the unwanted vibrations (due to vortex shedding behind the rib) of fully submerged structures can be controlled.


2018 ◽  
Vol 2018 ◽  
pp. 1-8 ◽  
Author(s):  
Tarek M. A. El-Mistikawy

The traditionally ignored physical processes of viscous dissipation, Joule heating, streamwise heat diffusion, and work shear are assessed and their importance is established. The study is performed for the MHD flow due to a linearly stretching sheet with induced magnetic field. Cases of prescribed surface temperature, heat flux, surface feed (injection or suction), velocity slip, and thermal slip are considered. Sample numerical solutions are obtained for the chosen combinations of the flow parameters.


2021 ◽  
Vol 51 (3) ◽  
pp. 159-163
Author(s):  
Utpal Jyoti Das

A steady MHD flow is analyzed in presence of Soret and Dufour effects with consideration of induced magnetic field under slip boundary conditions. The walls of the channel are porous, isothermal and subjected to injection/suction at a constant velocity. The effects of various flow parameters on velocity, magnetic field intensity, temperature, concentration, skin friction, Nusselt number and Sherwood number are discussed. 


1979 ◽  
Vol 46 (1) ◽  
pp. 220-223
Author(s):  
S. Chhatait ◽  
K. K. Mandal

MHD flow of an incompressible viscous electrically conducting fluid due to a uniform stream passing over a thick, porous conducting flat plate subjected to a uniform suction at the plate under the influence of uniform transverse magnetic field has been studied taking into account the effect of Hall current. Induced magnetic field has been taken into consideration and exact solutions have been obtained for primary and secondary flows and induced magnetic field. Effects of different parameters have been illustrated using graphs. It has also been pointed out that when the magnetic Prandtl number is very small effects of Hall current, wall conductivity, and thickness of the plate are all negligible.


2015 ◽  
Vol 68 (7) ◽  
pp. 797-811 ◽  
Author(s):  
R. Sivakumar ◽  
S. Vimala ◽  
T. V. S. Sekhar

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