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.

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

Soret Effect on Unsteady MHD Free Convection Flow Past an Impulsively Started Vertical Plate with Chemical Reaction

2018 ◽  
Vol 2 (01) ◽  
Author(s):  
N. K. Gupta ◽  
U. S. Rajput
Keyword(s):  
Magnetic Field ◽  
Free Convection ◽  
Chemical Reaction ◽  
Vertical Plate ◽  
Soret Effect ◽  
Mhd Flow ◽  
Convection Flow ◽  
Transform Method ◽  
Grashof Number ◽  
Flow Past

In this paper, we are analyzing Soret effect and inclined magnetic field on unsteady free convection MHD flow past an impulsively started vertical plate with chemical reaction. Fluid considered is electrically conducting. The Laplace transform method has been used to find the exact solutions for the concentration, momentum and energy equations. The flow model consists of a magnetic field inclined from vertical by an angle . The flow is considered unsteady and heat is transferred through free convection. The velocity profiles are discussed with the help of graphs drawn for different parameters like thermal Grashof number, the Soret number, the Prandtl number, the chemical reaction parameter, the Hartmann number, the Schmidt number, the mass Grashof number, time and inclination of magnetic field. The numerical values of skin friction have been discussed with the help of table for different parameters.

scholarly journals Influence of Thermal Radiation on Unsteady MHD Free Convection Flow of Jeffrey Fluid over a Vertical Plate with Ramped Wall Temperature

2016 ◽  
Vol 2016 ◽  
pp. 1-12 ◽  
Author(s):  
Nor Athirah Mohd Zin ◽  
Ilyas Khan ◽  
Sharidan Shafie
Keyword(s):  
Free Convection ◽  
Thermal Radiation ◽  
Wall Temperature ◽  
Vertical Plate ◽  
Convection Flow ◽  
Jeffrey Fluid ◽  
Dimensionless Time ◽  
Free Convection Flow ◽  
Laplace Transform Technique ◽  
The Laplace Transform

Influence of thermal radiation on unsteady magnetohydrodynamic (MHD) free convection flow of Jeffrey fluid over a vertical plate with ramped wall temperature is studied. The Laplace transform technique is used to obtain the analytical solutions. Expressions for skin friction and Nusselt number are also obtained. Results of velocity and temperature distributions are shown graphically for embedded parameters such as Jeffrey fluid parameterλ, Prandtl numberPr, Grashof numberGr, Hartmann numberHa, radiation parameterRd, and dimensionless timeτ. It is observed that the amplitude of velocity and temperature profile for isothermal are always higher than ramped wall temperature.

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 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.

scholarly journals Chemical Reaction Effect on Transient Free Convective Flow past an Infinite Moving Vertical Cylinder

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Ashish Paul ◽  
Rudra Kanta Deka
Keyword(s):  
Chemical Reaction ◽  
Sherwood Number ◽  
Vertical Cylinder ◽  
Physical Parameters ◽  
Grashof Number ◽  
Closed Form Solutions ◽  
Flow Past ◽  
Laplace Transform Technique ◽  
The Laplace Transform ◽  
First Order Chemical Reaction

An analysis is performed to study the heat and mass transfer on the flow past an infinite moving vertical cylinder, in the presence of first-order chemical reaction. The closed-form solutions of the dimensionless governing partial differential equations are obtained in terms of Bessel's functions and modified Bessel's functions by the Laplace transform technique. The transient velocity profiles, temperature profiles, and concentration profiles are studied for various sets of physical parameters, namely, the chemical reaction parameter, Prandtl number, Schmidt number, thermal Grashof number, mass Grashof number, and time. The skin friction, Nusselt number, and Sherwood number are also obtained and presented in graphs. It is observed that in presence of as well as increase in chemical reaction the flow velocity decreases. Also, in presence of destructive chemical reaction the concentration profile and Sherwood number tend to the steady state at large time.

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 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.

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