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 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 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 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.

Hall Effects on Radiating MHD Flow Past an Accelerated Plate in a Rotating Fluid

2012 ◽  
Author(s):  
R. K. Deka ◽  
S. K. Das
Keyword(s):  
Thermal Radiation ◽  
Velocity Distribution ◽  
Laplace Transformation ◽  
Vertical Plate ◽  
Mhd Flow ◽  
Rotating Fluid ◽  
Transformation Technique ◽  
Flow Past ◽  
Hall Effects ◽  
Infinite Vertical Plate

The effects of thermal radiation on the MHD flow past an accelerated infinite vertical plate in a rotating fluid, taking Hall effect into account, has been investigated. The solutions are obtained by Laplace transformation technique. Velocity distribution (both axial and transverse) are shown graphically, whereas the numerical values of the axial and transverse components of skin-friction are listed in a table.

scholarly journals Hall Effects And Rotation Effects On MHD Flow Past An Exponentially Accelerated Vertical Plate With Combined Heat And Mass Transfer Effects

2015 ◽  
Vol 20 (3) ◽  
pp. 605-616 ◽  
Author(s):  
M. Thamizhsudar ◽  
J. Pandurangan ◽  
R. Muthucumaraswamy
Keyword(s):  
Prandtl Number ◽  
Schmidt Number ◽  
Vertical Plate ◽  
Transverse Velocity ◽  
Mhd Flow ◽  
Rotation Parameter ◽  
Grashof Number ◽  
Flow Past ◽  
Hall Effects ◽  
Hall Parameter

Abstract A theoretical solution of flow past an exponentially accelerated vertical plate in the presence of Hall current and MHD relative to a rotating fluid with uniform temperature and mass diffusion is presented. The dimensionless equations are solved using the Laplace method. The axial and transverse velocity, temperature and concentration fields are studied for different parameters such as the Hall parameter (m), Hartmann number (M), Rotation parameter (Ω), Schmidt number, Prandtl number, thermal Grashof number (Gr) and mass Grashof number (Gc). It has been observed that the temperature of the plate decreases with increasing values of the Prandtl number and the concentration near the plate increases with decreasing values of Schmidt number. It is also observed that both axial and transverse velocities increase with decreasing values of the magnetic field parameter or rotation parameter, but the trend gets reversed with respect to the Hall parameter. The effects of parameters m, M, Ω, Gr and Gc on the axial and transverse velocity profiles are shown graphically.

scholarly journals MHD Flow past a Semi-Infinite Vertical Plate with Mass Transfer

2009 ◽  
Vol 14 (3) ◽  
pp. 345-356 ◽  
Author(s):  
G. Palani ◽  
U. Srikanth
Keyword(s):  
Magnetic Field ◽  
Mass Transfer ◽  
Vertical Plate ◽  
Mhd Flow ◽  
Governing Equations ◽  
Electrically Conducting ◽  
Linear Partial Differential Equations ◽  
External Cooling ◽  
Implicit Finite Difference Scheme ◽  
Infinite Vertical Plate

An analysis is performed to study the MHD flow of an electrically conducting, incompressible, viscous fluid past a semi-infinite vertical plate with mass transfer, under the action of transversely applied magnetic field is carried out. The heat due to viscous dissipation and the induced magnetic field are assumed to be negligible. The dimensionless governing equations are unsteady, two-dimensional, coupled and non-linear partial differential equations. A most accurate, unconditionally stable and fast converging implicit finite difference scheme is used to solve the non-dimensional governing equations. The effects of external cooling (Gr > 0) of the plate by the free convection are studied.

scholarly journals MHD flow past a parabolic flow past an infinite isothermal vertical plate in the presence of thermal radiation and chemical reaction

2016 ◽  
Vol 21 (1) ◽  
pp. 95-105 ◽  
Author(s):  
R. Muthucumaraswamy ◽  
P. Sivakumar
Keyword(s):  
Thermal Radiation ◽  
Chemical Reaction ◽  
Vertical Plate ◽  
Mhd Flow ◽  
Convection Flow ◽  
Grashof Number ◽  
Linear Partial Differential Equations ◽  
Flow Past ◽  
Laplace Transform Technique ◽  
The Laplace Transform

Abstract The problem of MHD free convection flow with a parabolic starting motion of an infinite isothermal vertical plate in the presence of thermal radiation and chemical reaction has been examined in detail in this paper. The fluid considered here is a gray, absorbing emitting radiation but a non-scattering medium. The dimensionless governing coupled linear partial differential equations are solved using the Laplace transform technique. A parametric study is performed to illustrate the influence of the radiation parameter, magnetic parameter, chemical reaction parameter, thermal Grashof number, mass Grashof number, Schmidt number and time on the velocity, temperature, concentration. The results are discussed graphically and qualitatively. The numerical results reveal that the radiation induces a rise in both the velocity and temperature, and a decrease in the concentration. The model finds applications in solar energy collection systems, geophysics and astrophysics, aerospace and also in the design of high temperature chemical process systems.

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