Radiation effects on linearly accelerated isothermal vertical plate with variable mass diffusion in the presence of magnetic field

2013 ◽  
Vol 7 ◽  
pp. 5645-5656 ◽  
Author(s):  
M. Muralidharan ◽  
R. Muthucumaraswamy
2013 ◽  
Vol 18 (2) ◽  
pp. 599-608
Author(s):  
R. Muthucumaraswamy ◽  
V. Visalakshi

Thermal radiation effects on an unsteady free convective flow of a viscous incompressible flow of a past an exponentially accelerated infinite isothermal vertical plate with uniform mass diffusion in the presence magnetic field are considered. The fluid considered here is a gray, absorbing-emitting radiation but a non-scattering medium. The plate temperature is raised to Tw and the concentration level near the plate is also raised to Cʹw . An exact solution to the dimensionless governing equations is obtained by the Laplace transform method, when the plate is exponentially accelerated with a velocity u= u0 exp(aʹtʹ) in its own plane against gravitational field. The effects of velocity, temperature and concentration fields are studied for different physical parameters such as the magnetic field parameter, thermal radiation parameter, Schmidt number, thermal Grashof number, mass Grashof number and time. It is observed that the velocity increases with decreasing magnetic field parameter or radiation parameter. But the trend is just reversed with respect to a or t .


2006 ◽  
Vol 33 (1) ◽  
pp. 17-29 ◽  
Author(s):  
R. Muthucumaraswamy ◽  
B. Janakiraman

An analysis is performed to study the effects of thermal radiation on unsteady free convective flow over a moving vertical plate with mass transfer in the presence of magnetic field. The fluid considered here is a gray, absorbing-emitting radiation but a non- scattering medium. The plate temperature is raised to T 0 and the concentration level near the plate is also raised linearly with time. The dimensionless governing equations are solved using the Laplace transform technique. The velocity, temperature and concentration are studied for different parameters like the magnetic field parameter, radiation parameter, thermal Grashof number, mass Grashof number and time. It is observed that the velocity decreases with increasing magnetic field parameter or radiation parameter. .


2007 ◽  
Vol 129 (12) ◽  
pp. 1708-1713 ◽  
Author(s):  
S. Shateyi ◽  
P. Sibanda ◽  
S. S. Motsa

The problem of steady, laminar, magnetohydrodynamic flow past a semi-infinite vertical plate is studied. The primary purpose of this study was to characterize the effects of thermal radiative heat transfer, magnetic field strength, and Hall currents on the flow properties. The governing nonlinear coupled differential equations comprising the laws of mass, linear momentum, and energy modified to include magnetic and radiative effects were solved numerically. The effects of the Hall current, the Hartmann number, and the radiative parameter on the velocity and temperature profiles are presented graphically. Large Hall currents and radiation effects cause the fluid to heat up and the velocity to increase in the lateral direction but decrease in the tangential direction. This study showed inter alia that reducing Hall currents and increasing the strength of the magnetic field lead to a reduction in the temperature and, consequently, in the thermal boundary layer, and so confirming that heat transfer mitigation through magnetic control is possible.


2014 ◽  
Vol 19 (1) ◽  
pp. 195-202
Author(s):  
R. Muthucumaraswamy ◽  
V. Lakshmi

Abstract A theoretical solution of thermal radiation effects on an unsteady flow past a parabolic starting motion of an infinite isothermal vertical plate with uniform mass diffusion has been studied. The plate temperature as well as the concentration level near the plate are raised uniformly. The dimensionless governing equations are solved using the Laplace-transform technique. The fluid considered here is a gray, absorbing-emitting radiation but a non-scattering medium. The effects of velocity profiles are studied for different physical parameters such as the thermal radiation parameter, thermal Grashof number, mass Grashof number and Schmidt number. It is observed that the velocity increases with increasing values the thermal Grashof number or mass Grashof number. The trend is just reversed with respect to the thermal radiation parameter


2013 ◽  
Vol 18 (1) ◽  
pp. 259-267 ◽  
Author(s):  
R. Muthucumaraswamy ◽  
V. Valliammal

An exact solution of an unsteady flow past an exponentially accelerated infinite isothermal vertical plate with uniform mass diffusion in the presence of a transverse magnetic field has been studied. The plate temperature is raised to Tw and the species concentration level near the plate is also made to rise Cʹw . The dimensionless governing equations are solved using the Laplace-transform technique. The velocity, temperature and concentration profiles are studied for different physical parameters such as the magnetic field parameter, chemical reaction parameter, thermal Grashof number, mass Grashof number, Schmidt number, time and a. It is observed that the velocity decreases with increasing the magnetic field parameter.


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