scholarly journals The interaction of thermal radiation on vertical oscillating plate with variable temperature and mass diffusion

2006 ◽  
Vol 33 (2) ◽  
pp. 107-121 ◽  
Author(s):  
R. Muthucumaraswamy
Keyword(s):  
Thermal Radiation ◽  
Phase Angle ◽  
Radiation Effects ◽  
Variable Temperature ◽  
Mass Diffusion ◽  
Plate Temperature ◽  
Transform Method ◽  
Grashof Number ◽  
The Laplace Transform ◽  
Oscillating Plate

Thermal radiation effects on unsteady free convective flow of a viscous incompressible flow past an infinite vertical oscillating plate with variable temperature and mass diffusion has been studied. The fluid considered here is a gray, absorbing-emitting radiation but a non-scattering medium. The plate temperature is raised linearly with respect to time and the concentration level near the plate is also raised linearly with respect to time. An exact solution to the dimensionless governing equations has been obtained by the Laplace transform method, when the plate is oscillating harmonically in its own plane. The effects of velocity, temperature and concentration are studied for different parameters like phase angle, radiation parameter, Schmidt number, thermal Grashof number, mass Grashof number and time are studied. It is observed that the velocity increases with decreasing phase angle ?t. .

scholarly journals ON FLOW PAST AN EXPONENTIALLY ACCELERATED VERTICAL PLATE WITH HEAT AND MASS TRANSFER IN THE PRESENCE OF HALL EFFECT AND ROTATION

2017 ◽  
Vol 5 (4) ◽  
pp. 51-61
Author(s):  
K.Muthuracku Alias Prema ◽  
R. Muthucumaraswamy
Keyword(s):  
Radiation Effects ◽  
Vertical Plate ◽  
Variable Temperature ◽  
Error Function ◽  
Mass Diffusion ◽  
Plate Temperature ◽  
Transform Method ◽  
Grashof Number ◽  
Flow Past ◽  
The Laplace Transform

This paper analyzes the thermal radiation effects on unsteady free convective flow of a viscous incompressible flow past an exponentially accelerated infinite vertical plate with variable temperature and mass diffusion. At time the plate is linearly accelerated with a velocity exp  in its own plane. And at the same time, plate temperature and concentration levels near the plate raised linearly with time t. The system of equations such as equation of momentum, energy, mass diffusion has been transformed by usual transformation into a non-dimensional form. An exact solution to the dimensionless governing equations has been obtained by the Laplace transform method in terms of exponential function and complementary error function. All the numerical calculations are done with respect to air (Pr=0.71). The temperature, the concentration, the primary and the secondary velocity profiles are studied for different parameters such as rotation parameter, Hall parameter, Hartmann number, Schmidt number, radiation parameter thermal Grashof number and mass Grashof number, accelerated parameter and time and presented through graphs.

scholarly journals Exact solution of thermal radiation on vertical oscillating plate with variable temperature and mass flux

2010 ◽  
Vol 37 (1) ◽  
pp. 1-15
Author(s):  
R. Muthucumaraswamy
Keyword(s):  
Thermal Radiation ◽  
Phase Angle ◽  
Mass Flux ◽  
Radiation Effects ◽  
Variable Temperature ◽  
Physical Parameters ◽  
Plate Temperature ◽  
Grashof Number ◽  
Laplace Transform Technique ◽  
Oscillating Plate

Thermal radiation effects on unsteady flow past an infinite vertical oscillating plate in the presence of variable temperature and uniform mass flux is considered. The fluid considered here is a gray, absorbing-emitting radiation but a non-scattering medium. The plate temperature is raised linearly with time and the mass is diffused from the plate to the fluid at an uniform rate. The dimensionless governing equations are solved using the Laplace transform technique. The velocity, concentration and temperature are studied for different physical parameters like the phase angle, radiation parameter, Schmidt number, thermal Grashof number, mass Grashof number and time. It is observed that the velocity increases with decreasing phase angle ?t.

scholarly journals Theoretical study of chemical reaction effects on vertical oscillating plate with variable temperature

2006 ◽  
Vol 33 (3) ◽  
pp. 245-257 ◽  
Author(s):  
R. Muthucumaraswamy ◽  
S. Meenakshisundaram
Keyword(s):  
Phase Angle ◽  
Chemical Reaction ◽  
Variable Temperature ◽  
Reaction Parameter ◽  
Plate Temperature ◽  
Transform Method ◽  
Grashof Number ◽  
The Laplace Transform ◽  
Oscillating Plate ◽  
Chemical Reaction Parameter

An exact solution to the flow of a viscous incompressible unsteady flow past an infinite vertical oscillating plate with variable temperature and mass diffusion is presented here, taking into account of the homogeneous chemical reaction of first-order. Both the plate temperature and the concentration level near the plate are raised linearly with respect to time. The dimensionless governing equations has been obtained by the Laplace transform method, when the plate is oscillating harmonically in its own plane. The effects of velocity and concentration are studied for different parameters like phase angle, chemical reaction parameter, thermal Grashof number, mass Grashof number, Schmidt number and time are studied. The solutions are valid only for small values of time t. It is observed that the velocity increases with decreasing phase angle ?t or chemical reaction parameter. .

scholarly journals Chemical reaction effects on vertical oscillating plate with variable temperature

2010 ◽  
Vol 16 (2) ◽  
pp. 167-173 ◽  
Author(s):  
R. Muthucumaraswamy
Keyword(s):  
Phase Angle ◽  
Chemical Reaction ◽  
Variable Temperature ◽  
Reaction Parameter ◽  
Plate Temperature ◽  
Transform Method ◽  
The Laplace Transform ◽  
Homogeneous Chemical ◽  
Oscillating Plate ◽  
Chemical Reaction Parameter

Free convective flow of a viscous incompressible flow past an infinite vertical oscillating plate with variable temperature and uniform mass diffusion is presented here, taking into account of the homogeneous chemical reaction of first-order. The plate temperature is raised linearly with respect to time and the concentration level near the plate is raised to C?w. An exact solution to the dimensionless governing equations has been obtained by the Laplace transform method, when the plate is oscillating harmonically in its own plane. The effects of velocity and concentration are studied for different parameters like phase angle, chemical reaction parameter, Schmidt number and time are studied. It is observed that the velocity increases with decreasing phase angle ?t or chemical reaction parameter.

scholarly journals Heat and mass transfer effects on moving vertical plate in the presence of thermal radiation

2004 ◽  
Vol 31 (1) ◽  
pp. 35-46 ◽  
Author(s):  
R. Muthucumaraswamy ◽  
Kumar Senthil
Keyword(s):  
Thermal Radiation ◽  
Radiation Effects ◽  
Vertical Plate ◽  
Variable Temperature ◽  
Radiation Parameter ◽  
Plate Temperature ◽  
Grashof Number ◽  
Laplace Transform Technique ◽  
The Laplace Transform ◽  
Infinite Vertical Plate

Thermal radiation effects on moving infinite vertical plate in the presence variable temperature and mass diffusion is considered. The fluid considered here is a gray, absorbing-emitting radiation but a non-scattering medium. The plate temperature and the concentration level near the plate are raised linearly with time. The dimensionless governing equations are solved using the Laplace-transform technique. The velocity and skin-friction are studied for different parameters like thermal Grashof number, mass Grashof number, time and radiation parameter. It is observed that the velocity slightly decreases with increasing value of the radiation parameter.

scholarly journals Radiative flow past a parabolic started isothermal vertical plate with uniform mass diffusion

2014 ◽  
Vol 19 (1) ◽  
pp. 195-202
Author(s):  
R. Muthucumaraswamy ◽  
V. Lakshmi
Keyword(s):  
Thermal Radiation ◽  
Radiation Effects ◽  
Vertical Plate ◽  
Mass Diffusion ◽  
Physical Parameters ◽  
Radiation Parameter ◽  
Plate Temperature ◽  
Grashof Number ◽  
Flow Past ◽  
Laplace Transform Technique

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

scholarly journals Mass transfer effects on vertical oscillating plate with heat flux

2007 ◽  
Vol 34 (4) ◽  
pp. 309-322 ◽  
Author(s):  
R. Muthucumaraswamy ◽  
K. Manivannan
Keyword(s):  
Heat Flux ◽  
Phase Angle ◽  
Chemical Reaction ◽  
Uniform Heat Flux ◽  
Reaction Parameter ◽  
Transform Method ◽  
Grashof Number ◽  
The Laplace Transform ◽  
Oscillating Plate ◽  
Chemical Reaction Parameter

Theoretical solution of unsteady viscous incompressible flow past an infinite vertical oscillating plate with uniform heat flux and mass diffusion is presented here, taking into account of the homogeneous chemical reaction of first-order. The temperature from the plate to the fluid at an uniform rate and the mass is diffused uniformly. The dimensionless governing equations has been obtained by the Laplace transform method, when the plate is oscillating harmonically in its own plane. The effects of velocity and concentration are studied for different parameters like phase angle chemical reaction parameter, thermal Grashof number, mass Grashof number Schmidt number and time are studied. The so?lutions are valid only for small values of time t. It is observed that the velocity increases with decreasing phase angle ?t or chemical reaction parameter.

scholarly journals MHD and Thermal Radiation Effects on Exponentially Accelerated Isothermal Vertical Plate with Uniform Mass Diffusion

2013 ◽  
Vol 18 (2) ◽  
pp. 599-608
Author(s):  
R. Muthucumaraswamy ◽  
V. Visalakshi
Keyword(s):  
Magnetic Field ◽  
Thermal Radiation ◽  
Radiation Effects ◽  
Vertical Plate ◽  
Mass Diffusion ◽  
Field Parameter ◽  
Physical Parameters ◽  
Radiation Parameter ◽  
Grashof Number ◽  
Magnetic Field Parameter

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 .

scholarly journals Radiation effect on unsteady MHD flow through porous medium past an oscillating inclined plate with variable temperature and mass diffusion in the presence of hall current

2016 ◽  
Vol 12 (2) ◽  
Author(s):  
U. S. Rajput ◽  
Gaurav Kumar
Keyword(s):  
Porous Medium ◽  
Variable Temperature ◽  
Mhd Flow ◽  
Mass Diffusion ◽  
Inclined Plate ◽  
Plate Temperature ◽  
Electrically Conducting ◽  
Laplace Transform Technique ◽  
The Laplace Transform ◽  
Variable Wall

In the present paper, we study the effect of radiation on unsteady flow of a viscous, incompressible and electrically conducting fluid past an oscillating inclined plate through a porous medium with variable wall temperature and mass diffusion in the presence of transversely applied uniform magnetic field. The plate temperature and the concentration level near the plate increase linearly with time. The governing equations involved in the present analysis are solved by the Laplace-transform technique. The results obtained are discussed with the help of graphs drawn for different parameters. The numerical values obtained for skin-friction and Nusselt number have been tabulated. The results are found to be in a good agreement and the data obtained is in concurrence with the actual flow phenomenon. 

scholarly journals Radiation effects on flow past an impulsively started vertical plate with variable temperature and mass flux

2005 ◽  
Vol 32 (3) ◽  
pp. 223-234 ◽  
Author(s):  
R. Muthucumaraswamy ◽  
A. Vijayalakshmi
Keyword(s):  
Mass Flux ◽  
Radiation Effects ◽  
Schmidt Number ◽  
Vertical Plate ◽  
Variable Temperature ◽  
Radiation Parameter ◽  
Governing Equations ◽  
Grashof Number ◽  
Laplace Transform Technique ◽  
The Laplace Transform

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

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