scholarly journals Finite Element Analysis of Chemical Reaction and Radiation Effects on Isothermal Vertical Oscillating Plate with Variable Mass Diffusion

2012 ◽  
Vol 2012 ◽  
pp. 1-14
Author(s):  
S. Sivaiah ◽  
G. Murali ◽  
M. C. K. Reddy
Keyword(s):  
Finite Element ◽  
Chemical Reaction ◽  
Radiation Effects ◽  
Variable Mass ◽  
Skin Friction Coefficient ◽  
Physical Parameters ◽  
Element Analysis ◽  
Plate Temperature ◽  
Grashof Number ◽  
Oscillating Plate

The objective of this paper is to investigate an unsteady flow of a viscous incompressible flow past an infinite isothermal vertical oscillating plate, in the presence of thermal radiation and chemical reaction. The fluid considered here is a gray, absorbing-emitting radiation but a nonscattering medium. The plate temperature is arised to , and the concentration level near the plate is raised linearly with respect to time. An exact solution to the dimensionless governing equations has been obtained by the finite element method, when the plate is oscillating harmonically in its own plane. The effects of velocity, temperature, and concentration are studied for different physical parameters like thermal Grashof number, mass Grashof number, radiation parameter, prandtl number, chemical reaction parameter, Schmidt number, phase angle, and time are studied graphically. The skin-friction coefficient, the Nusselt number, and the Sherwood number at the plate are discussed, and their numerical values for various values of physical parameters are presented through tables.

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 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 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 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 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 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. .

EMHD time-dependant tangent hyperbolic nanofluid flow by a convective heated Riga plate with chemical reaction

2018 ◽  
Vol 233 (4) ◽  
pp. 776-786 ◽  
Author(s):  
A Mahdy ◽  
GA Hoshoudy
Keyword(s):  
Boundary Condition ◽  
Brownian Motion ◽  
Skin Friction ◽  
Chemical Reaction ◽  
Slip Boundary Condition ◽  
Negative Influence ◽  
Skin Friction Coefficient ◽  
Physical Parameters ◽  
Riga Plate ◽  
Linear Differential

The present exploration addresses the boundary layer electro-magnetohydrodynamic (EMHD) flow of time-dependant non-Newtonian tangent hyperbolic nanofluid that is electrically conducting past a Riga surface with variable thickness and slip boundary condition. Configuration flow modeling is deduced considering chemical reaction and heat generation/absorption with the impacts of Brownian motion and thermophoresis. Also a newly proposed boundary condition with zero mass flux has been presented in the current contribution. Numerical solution of the governing non-linear differential equations is presented by considering the shooting technique. Graphical illustrations pointing out the aspects of distinct physical parameters on the non-Newtonian nanofluid velocity, temperature and concentration fields are introduced. From the computational results, the concentration distribution gives a decreasing function of the chemical reaction and Brownian motion parameters. Higher values of shape parameter yield a negative influence on the mechanical properties of the surface. The Hartmann number leads to maximize both of velocity field and skin friction coefficient. Additionally, numerical computed values of the skin friction, local Nusselt and Sherwood numbers are depicted with the needful discussion.

Finite Element Analysis of Heater Length in a Porous Annulus - Part B

2015 ◽  
Vol 786 ◽  
pp. 199-204
Author(s):  
Abdullah A.A.A. Al-Rashed ◽  
S.N.J. Ahmed ◽  
Ghulam Abdul Quadir ◽  
H.M.T. Khaleed ◽  
I.A. Badruddin ◽  
...  
Keyword(s):  
Finite Element ◽  
Energy Flow ◽  
Flow Behavior ◽  
Physical Parameters ◽  
Temperature Model ◽  
Element Analysis ◽  
Inner Radius ◽  
Triangular Elements ◽  
Heater Length ◽  
Two Temperature

The present study is undertaken to investigate the effect of geometrical and physical parameters on discrete heating of an annular vertical porous cylinder heated isothermally at center portion of inner radius. Finite element method is employed to convert the governing partial differential equations into matrix form of equations by employing 3 noded triangular elements. Darcy model is assumed to represent the flow behavior inside the porous medium. Two temperature model is used to describe energy flow in the medium. The study is conducted for different lengths of heater corresponding to 20%, 35% and 50% of the total height of the cylinder. It is found that the flow pattern for aspect ratio 1 is smoother than that of the 0.5.

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.

Slip effects on nanofluid flow over a nonlinear permeable stretching surface with chemical reaction

2015 ◽  
Vol 230 (14) ◽  
pp. 2473-2482 ◽  
Author(s):  
Kalidas Das ◽  
Tanmoy Chakraborty ◽  
Prabir Kumar Kundu
Keyword(s):  
Chemical Reaction ◽  
Skin Friction Coefficient ◽  
Point Of View ◽  
Dimensionless Temperature ◽  
Physical Parameters ◽  
Stretching Surface ◽  
Nanofluid Flow ◽  
Physical Point ◽  
Order Chemical Reaction ◽  
First Order Chemical Reaction

In this study, heat and mass transfer characteristics of the magnetohydrodynamic nanofluid flow over a radiating nonlinear permeable stretching surface are studied. The flow considered here is under both the hydrodynamic and thermal slip conditions in presence of first-order chemical reaction. The resulting governing equations are transformed into a system of nonlinear ordinary differential equations by applying a suitable similarity transformation and then solved numerically. A parametric study, of the physical parameters, is conducted and a representative set of numerical results for the skin friction coefficient, the Nusselt number and the local Sherwood number are tabulated. Graphical results for dimensionless temperature, velocity and concentration are presented and discussed in details from the physical point of view.

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