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 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 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 Mass Transfer with Chemical Reaction on Flow Past an Accelerated Vertical Plate with Variable Temperature and Thermal Radiation

2013 ◽  
Vol 18 (3) ◽  
pp. 945-953
Author(s):  
R. Muthucumaraswamy ◽  
P. Balachandran ◽  
K. Ganesan
Keyword(s):  
Thermal Radiation ◽  
Chemical Reaction ◽  
Vertical Plate ◽  
Variable Temperature ◽  
Radiation Parameter ◽  
Reaction Parameter ◽  
Grashof Number ◽  
Flow Past ◽  
Laplace Transform Technique ◽  
Chemical Reaction Parameter

Abstract An exact solution of an unsteady radiative flow past a uniformly accelerated infinite vertical plate with variable temperature and mass diffusion is presented here, taking into account the homogeneous chemical reaction of first order. The plate temperature as well as concentration near the plate is raised linearly with time. The dimensionless governing equations are solved using the Laplace-transform technique. The velocity, temperature and concentration fields are studied for different physical parameters such as the thermal Grashof number, mass Grashof number, Schmidt number, Prandtl number, radiation parameter, chemical reaction parameter and time. It is observed that the velocity increases with increasing values of the thermal Grashof number or mass Grashof number. But the trend is just reversed with respect to the thermal radiation parameter. It is also observed that the velocity increases with the decreasing chemical reaction parameter

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 Heat Transfer Effects on Flow Past a Parabolic Started Vertical Plate in the Presence of Chemical Reaction of First Order

2014 ◽  
Vol 19 (2) ◽  
pp. 275-284
Author(s):  
R. Muthucumaraswamy ◽  
S. Velmurugan
Keyword(s):  
Chemical Reaction ◽  
Vertical Plate ◽  
Variable Temperature ◽  
Physical Parameters ◽  
Reaction Parameter ◽  
Grashof Number ◽  
First Order ◽  
Flow Past ◽  
Laplace Transform Technique ◽  
Chemical Reaction Parameter

Abstract An exact solution of an unsteady flow past a parabolic starting motion of an infinite vertical plate with variable temperature and mass diffusion, in the presence of a homogeneous chemical reaction of first order has been studied. The plate temperature as well as concentration level near the plate are raised linearly with time t. The dimensionless governing equations are solved using the Laplace-transform technique. The effects of velocity profiles are studied for different physical parameters such as the chemical reaction parameter, thermal Grashof number, mass Grashof number, Schmidt number and time. It is observed that the velocity increases with increasing values of the thermal Grashof number or mass Grashof number. The trend is just reversed with respect to the chemical reaction parameter.

scholarly journals Study of Radiation, Reaction and Parabolic Motion Effects on MHD Casson Fluid Flow with Ramped Wall Temperature

10.29007/g5p6 ◽  
2018 ◽  
Author(s):  
Harshad Patel ◽  
Hari Kataria
Keyword(s):  
Fluid Flow ◽  
Thermal Radiation ◽  
Chemical Reaction ◽  
Wall Temperature ◽  
Casson Fluid ◽  
Reaction Parameter ◽  
Radiation Chemical ◽  
Grashof Number ◽  
Laplace Transform Technique ◽  
Chemical Reaction Parameter

This article studies effect of thermal radiation, chemical reaction and parabolic motion on the unsteady MHD Casson fluid flow past an infinite vertical plate embedded with ramped wall temperature. The fluid is electrically conducting and passing through a porous medium. This phenomenon is modeled in the form of partial differential equations with initial and boundary conditions. Some suitable non-dimensional variables are introduced and corresponding dimensionless equations are solved using the Laplace transform technique. Analytical expressions for velocity, temperature and concentration profiles are obtained. The features of the velocity, temperature and concentration are analyzed by plotting graphs and the physical aspects are studied for different parameters like the magnetic field parameter M, thermal radiation parameter R, chemical reaction parameter〖 R〗^', thermal Grashof number Gr, mass Grashof number Gm, Schmidt number Sc, Prandtl number Pr and time variable t. It is seen that velocity profiles decrease with increase in thermal radiation R and chemical reaction parameter〖 R〗^'.

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 Chemical Reaction Effects on MHD Flow Past a Linearly Accelerated Vertical Plate with Variable Temperature and Mass Diffusion in the Presence of Thermal Radiation

2013 ◽  
Vol 18 (3) ◽  
pp. 727-737
Author(s):  
R. Muthucumaraswamy ◽  
E. Geetha
Keyword(s):  
Magnetic Field ◽  
Chemical Reaction ◽  
Vertical Plate ◽  
Mass Diffusion ◽  
Field Parameter ◽  
Radiation Parameter ◽  
Reaction Parameter ◽  
Grashof Number ◽  
Magnetic Field Parameter ◽  
Chemical Reaction Parameter

Abstract An exact solution of first order chemical reaction effects on a radiative flow past a linearly accelerated infinite isothermal vertical plate with variable mass diffusion, under the action of a transversely applied magnetic field has been presented. The plate temperature is raised linearly with time and the concentration level near the plate is also raised to C'w linearly with time. The dimensionless governing equations are tackled using the Laplace-transform technique. The velocity, temperature and concentration fields are studied for different physical parameters such as the magnetic field parameter, radiation parameter, chemical reaction parameter, thermal Grashof number, mass Grashof number, Schmidt number, Prandtl number and time. It is observed that velocity increases with decreasing magnetic field parameter or radiation parameter. But the trend is just reversed with respect to the chemical reaction parameter

Sign in / Sign up

Export Citation Format

Share Document