scholarly journals Effects of radiation and chemical reaction on MHD flow past a vertical plate with variable temperature and mass diffusion

2019 ◽  
Vol 16 (2) ◽  
pp. 99-108 ◽  
Author(s):  
U S Rajput ◽  
Gaurav Kumar
Keyword(s):  
Chemical Reaction ◽  
Vertical Plate ◽  
Fluid Model ◽  
Variable Temperature ◽  
Mass Diffusion ◽  
Reaction Parameter ◽  
Radiation Chemical ◽  
Laplace Transform Technique ◽  
Effects Of Radiation ◽  
Chemical Reaction Parameter

This research investigates the effects of radiation, chemical reaction and porosity of the medium on unsteady flow of a viscous, incompressible and electrically conducting fluid past an exponentially accelerated vertical plate 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 fluid model under consideration has been solved by Laplace transform technique. The model contains equations of motion, diffusion equation and equation of energy. To analyze the solution of the model, reasonable sets of the values of the parameters have been considered. The numerical data obtained is discussed with the help of graphs and tables. The numerical values obtained for skin-friction, Sherwood number and Nusselt number have been tabulated. It is found that the velocity of fluid increases when the values of permeability parameter, acceleration parameter and radiation parameter are increased. But trend is reversed with the chemical reaction parameter. It means that the velocity decreases when the chemical reaction parameter is increased.

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 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 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

scholarly journals First Order Chemical Reaction Effects on Exponentially Accelerated Vertical Plate with Variable Mass Diffusion in the Presence of Thermal Radiation

2015 ◽  
Vol 20 (2) ◽  
pp. 329-344 ◽  
Author(s):  
R. Muthucumaraswamy ◽  
C.S. Lakshmi
Keyword(s):  
Chemical Reaction ◽  
Vertical Plate ◽  
Variable Mass ◽  
Mass Diffusion ◽  
Order Chemical Reaction ◽  
Variable Surface ◽  
Laplace Transform Technique ◽  
The Laplace Transform ◽  
First Order Chemical Reaction ◽  
Chemical Reaction Parameter

Abstract Effects of transfer of mass and free convection on the flow field of an incompressible viscous fluid past an exponentially accelerated vertical plate with variable surface temperature and mass diffusion are studied. Results for velocity, concentration, temperature are obtained by solving governing equations using the Laplace transform technique. It is observed that the velocity increases with decreasing values of the chemical reaction parameter or radiation parameter. But the trend is just reversed with respect to the time parameter. The skin friction is also studied.

scholarly journals Effects of chemical reaction on moving isothermal vertical plate with variable mass diffusion

2003 ◽  
pp. 209-220 ◽  
Author(s):  
R. Muthucumaraswamy
Keyword(s):  
Chemical Reaction ◽  
Schmidt Number ◽  
Variable Mass ◽  
Mass Diffusion ◽  
Reaction Parameter ◽  
Laplace Transform Technique ◽  
The Laplace Transform ◽  
Homogeneous Chemical ◽  
Chemical Reaction Parameter ◽  
Buoyancy Ratio

An exact solution to the problem of flow past an impulsively started infinite vertical isothermal plate with variable mass diffusion is presented here, taking into account of the homogeneous chemical reaction of first-order. The dimensionless governing equations are solved by using the Laplace - transform technique. The velocity and skin-friction are studied for different parameters like chemical reaction parameter, Schmidt number and buoyancy ratio parameter. It is observed that the veloc?ity increases with decreasing chemical reaction parameter and increases with increasing buoyancy ratio parameter.

scholarly journals Chemical Reaction Effects on MHD Flow Past an Impulsively Started Isothermal Vertical Plate with Uniform Mass Diffusion

2014 ◽  
Vol 19 (2) ◽  
pp. 419-426
Author(s):  
P. Chandrakala ◽  
P. Narayana Bhaskar
Keyword(s):  
Magnetic Field ◽  
Chemical Reaction ◽  
Vertical Plate ◽  
Mass Diffusion ◽  
Field Parameter ◽  
Reaction Parameter ◽  
Grashof Number ◽  
Magnetic Field Parameter ◽  
Chemical Reaction Parameter ◽  
The Magnetic Field

Abstract A numerical technique is employed to derive a solution to the transient natural convection flow of an incompressible viscous fluid past an impulsively started infinite isothermal vertical plate with uniform mass diffusion in the presence of a magnetic field and homogeneous chemical reaction of first order. The governing equations are solved using implicit finite-difference method. The effects of velocity, temperature and concentration for different parameters such as the magnetic field parameter, chemical reaction parameter, Prandtl number, Schmidt number, thermal Grashof number and mass Grashof number are studied. It is observed that the fluid velocity decreases with increasing the chemical reaction parameter and the magnetic field 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 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 Effect of heat source and chemical reaction on MHD flow past a vertical plate with variable temperature

2016 ◽  
Vol 13 (1) ◽  
pp. 101-110 ◽  
Author(s):  
P. K. Rout ◽  
S. N. Sahoo ◽  
G. C. Dash
Keyword(s):  
Heat Source ◽  
Chemical Reaction ◽  
Vertical Plate ◽  
Variable Temperature ◽  
Mhd Flow ◽  
Governing Equations ◽  
Molecular Diffusivity ◽  
Flow Parameters ◽  
Flow Past ◽  
Chemical Reaction Parameter

An analysis has been carried out to study the effect of heat source and chemical reaction on MHD flow past a vertical plate subject to a constant motion with variable temperature and concentration. The governing equations are solved by the Laplace transformation technique. The effects of various flow parameters on the flow dynamics are discussed. Findings of the present study reveal that the velocity of the fluid reduces due to the dominating effect of kinematic viscosity over molecular diffusivity in case of heavier species. Presence of heat source reduces the velocity of the flow. Presence of chemical reaction parameter decreases the concentration distribution.

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