scholarly journals Effects of rotation on MHD flow past an accelerated isothermal vertical plate with heat and mass diffusion

2010 ◽  
Vol 37 (3) ◽  
pp. 189-202 ◽  
Author(s):  
R. Muthucumaraswamy ◽  
Tina Lal ◽  
D. Ranganayakulu
Keyword(s):  
Magnetic Field ◽  
Schmidt Number ◽  
Vertical Plate ◽  
Mhd Flow ◽  
Physical Parameters ◽  
Plate Temperature ◽  
Grashof Number ◽  
Electrically Conducting ◽  
Laplace Transform Technique ◽  
Effects Of Rotation

An exact analysis of rotation effects on unsteady flow of an incompressible and electrically conducting fluid past a uniformly accelerated infinite isothermal vertical plate, under the action of transversely applied magnetic field has been presented. The plate temperature is raised to Tw and the concentration level near the plate is also raised to C?w . The dimensionless governing equations are solved using Laplace-transform technique. The velocity profiles, temperature and concentration are studied for different physical parameters like thermal Grashof number, mass Grashof number, Schmidt number, Prandtl number and time. It is observed that the velocity increases with increasing values of thermal Grashof number or mass Grashof number. It is also observed that the velocity increases with decreasing magnetic field parameter.

Natural Convection near a Moving Vertical Plate with Ramped Heat and Mass Fluxes in the Presence of Thermal Radiation

2017 ◽  
Vol 377 ◽  
pp. 211-232 ◽  
Author(s):  
Sanatan Das ◽  
Rabindra Nath Jana ◽  
Oluwole Daniel Makinde
Keyword(s):  
Thermal Radiation ◽  
Analytical Study ◽  
Schmidt Number ◽  
Vertical Plate ◽  
Boussinesq Approximation ◽  
Physical Parameters ◽  
Plate Temperature ◽  
Grashof Number ◽  
Mass Fluxes ◽  
Laplace Transform Technique

An analytical study of transient natural convective flow of a viscous incompressible optically thick radiating fluid past a moving vertical plate with ramped heat and mass fluxes in the presence of thermal radiation is performed. Exact solution of the governing equations under Boussinesq approximation, is obtained in closed form by Laplace transform technique. The expressions for the shear stress and at the plate temperature and concentration are also derived. The velocity profiles, temperature and species concentration are studied as functions of different physical parameters like radiation parameter, thermal Grashof number, mass Grashof number, Schmidt number, Prandtl number and time. The physical aspects of the problem are discussed.

scholarly journals Diffusion and heat transfer effects on exponentially accelerated vertical plate with variable temperature

2010 ◽  
Vol 14 (1) ◽  
pp. 73-77
Author(s):  
Rajamanickam Muthucumaraswamy ◽  
Kailasam Sathappan ◽  
Ramasamy Natarajan
Keyword(s):  
Schmidt Number ◽  
Vertical Plate ◽  
Concentration Level ◽  
Variable Temperature ◽  
Physical Parameters ◽  
Governing Equations ◽  
Plate Temperature ◽  
Grashof Number ◽  
Laplace Transform Technique ◽  
Infinite Vertical Plate

An exact solution of unsteady flow past an exponentially accelerated infinite vertical plate with variable temperature has been presented in the presence of uniform mass diffusion. The plate temperature is raised linearly with time and species concentration level near the plate is made to rise Cw. The dimensionless governing equations are solved using Laplace-transform technique. The velocity profiles fields are studied for different physical parameters like thermal Grashof number, mass Grashof number, Schmidt number, a and time. It is observed that the velocity increases with increasing values of a or t.

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 MHD and rotation effects on flow past an accelerated vertical plate with variable temperature and mass diffusion in the presence of chemical reaction

2013 ◽  
Vol 18 (4) ◽  
pp. 1087-1097
Author(s):  
R. Muthucumaraswamy ◽  
N. Dhanasekar ◽  
G. Easwara Prasad
Keyword(s):  
Magnetic Field ◽  
Chemical Reaction ◽  
Vertical Plate ◽  
Variable Temperature ◽  
Field Parameter ◽  
Physical Parameters ◽  
Grashof Number ◽  
Magnetic Field Parameter ◽  
Laplace Transform Technique ◽  
The Magnetic Field

Abstract An exact analysis of rotation effects on an unsteady flow of an incompressible and electrically conducting fluid past a uniformly accelerated infinite isothermal vertical plate, under the action of a transversely applied magnetic field is presented. The plate temperature is raised linearly with time and the concentration level near the plate is also raised to C’w. The dimensionless governing equations are solved using the Laplace-transform technique. The velocity profiles, temperature and concentration are studied for different physical parameters such as the magnetic field parameter, chemical reaction parameter, thermal Grashof number, mass Grashof number, Schmidt number, Prandtl number and time. It is observed that the velocity increases with increasing values of the thermal Grashof number or mass Grashof number. It is also observed that the velocity increases with decreasing values of the magnetic field parameter or rotation parameter Ω.

scholarly journals MHD and radiation effects on moving isothermal vertical plate with variable mass diffusion

2006 ◽  
Vol 33 (1) ◽  
pp. 17-29 ◽  
Author(s):  
R. Muthucumaraswamy ◽  
B. Janakiraman
Keyword(s):  
Magnetic Field ◽  
Radiation Effects ◽  
Vertical Plate ◽  
Variable Mass ◽  
Field Parameter ◽  
Radiation Parameter ◽  
Plate Temperature ◽  
Grashof Number ◽  
Magnetic Field Parameter ◽  
Laplace Transform Technique

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. .

scholarly journals Radiation effects on MHD flow past an impulsively started infinite vertical plate with mass diffusion

2014 ◽  
Vol 19 (1) ◽  
pp. 17-26
Author(s):  
P. Chandrakala ◽  
P. Narayana
Keyword(s):  
Magnetic Field ◽  
Thermal Radiation ◽  
Radiation Effects ◽  
Schmidt Number ◽  
Vertical Plate ◽  
Mhd Flow ◽  
Governing Equations ◽  
Grashof Number ◽  
Flow Past ◽  
Infinite Vertical Plate

Abstract The effects of thermal radiation on a flow past an impulsively started infinite vertical plate in the presence of a magnetic field have been studied. The fluid considered is a gray, absorbing-emitting radiation but non-scattering medium. The dimensionless governing equations are solved by an efficient, more accurate, unconditionally stable and fast converging implicit scheme. The effects of velocity and temperature for different parameters such as the thermal radiation, magnetic field, Schmidt number, thermal Grashof number and mass Grashof number are studied. It is observed that the velocity decreases in the presence of thermal radiation or a magnetic field

scholarly journals Study of flow past an exponentially accelerated isothermal vertical plate in the presence of chemical reaction

2010 ◽  
Vol 37 (4) ◽  
pp. 251-262
Author(s):  
R. Muthucumaraswamy ◽  
V. Valliammal
Keyword(s):  
Chemical Reaction ◽  
Vertical Plate ◽  
Variable Mass ◽  
Physical Parameters ◽  
Plate Temperature ◽  
Grashof Number ◽  
Flow Past ◽  
Laplace Transform Technique ◽  
Homogeneous Chemical ◽  
Chemical Reaction Parameter

Theoretical study of unsteady flow past an exponentially accelerated infinite isothermal vertical plate with variable mass diffusion has been presented in the presence of homogeneous chemical reaction of first order. The plate temperature is raised to Tw and species concentration level near the plate is made to rise linearly with time. The dimensionless governing equations are solved using Laplace-transform technique. The velocity profiles are studied for different physical parameters like chemical reaction parameter, thermal Grashof number, mass Grashof number, a and time. It is observed that the velocity increases with increasing values of a or t. But the trend is just reversed with respect to K.

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 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 Hydromagnetic Flow Past an Exponentially Accelerated Isothermal Vertical Plate with Uniform Mass Diffusion in the Presence of Chemical Reaction of first Order

2013 ◽  
Vol 18 (1) ◽  
pp. 259-267 ◽  
Author(s):  
R. Muthucumaraswamy ◽  
V. Valliammal
Keyword(s):  
Magnetic Field ◽  
Chemical Reaction ◽  
Vertical Plate ◽  
Mass Diffusion ◽  
Field Parameter ◽  
Grashof Number ◽  
Magnetic Field Parameter ◽  
Flow Past ◽  
Laplace Transform Technique ◽  
The Magnetic Field

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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