scholarly journals Diffusion and heat transfer effects on exponentially accelerated vertical plate with variable temperature

2010 ◽  
Vol 14 (1) ◽  
pp. 73-77
Author(s):  
Rajamanickam Muthucumaraswamy ◽  
Kailasam Sathappan ◽  
Ramasamy Natarajan
Keyword(s):  
Schmidt Number ◽  
Vertical Plate ◽  
Concentration Level ◽  
Variable Temperature ◽  
Physical Parameters ◽  
Governing Equations ◽  
Plate Temperature ◽  
Grashof Number ◽  
Laplace Transform Technique ◽  
Infinite Vertical Plate

An exact solution of unsteady flow past an exponentially accelerated infinite vertical plate with variable temperature has been presented in the presence of uniform mass diffusion. The plate temperature is raised linearly with time and species concentration level near the plate is made to rise Cw. The dimensionless governing equations are solved using Laplace-transform technique. The velocity profiles fields are studied for different physical parameters like thermal Grashof number, mass Grashof number, Schmidt number, a and time. It is observed that the velocity increases with increasing values of a or t.

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 Heat transfer effects on flow past an exponentially accelerated vertical plate with variable temperature

2008 ◽  
Vol 35 (4) ◽  
pp. 323-331 ◽  
Author(s):  
R. Muthucumaraswamy ◽  
K.E. Sathappan ◽  
R. Natarajan
Keyword(s):  
Vertical Plate ◽  
Variable Temperature ◽  
Physical Parameters ◽  
Temperature Profiles ◽  
Governing Equations ◽  
Transfer Effects ◽  
Flow Past ◽  
Laplace Transform Technique ◽  
Heat Transfer Effects ◽  
Infinite Vertical Plate

An exact solution to the problem of flow past an exponentially accelerated infinite vertical plate with variable temperature is analyzed. The temperature of the plate is raised linearly with time t. The dimensionless governing equations are solved using Laplace-transform technique. The velocity and temperature profiles are studied for different physical parameters like thermal Grashof number Gr, time and an accelerating parameter a. It is observed that the velocity increases with increasing values of a or Gr.

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.

scholarly journals Radiation effects on flow past an impulsively started vertical plate with variable temperature and mass flux

2005 ◽  
Vol 32 (3) ◽  
pp. 223-234 ◽  
Author(s):  
R. Muthucumaraswamy ◽  
A. Vijayalakshmi
Keyword(s):  
Mass Flux ◽  
Radiation Effects ◽  
Schmidt Number ◽  
Vertical Plate ◽  
Variable Temperature ◽  
Radiation Parameter ◽  
Governing Equations ◽  
Grashof Number ◽  
Laplace Transform Technique ◽  
The Laplace Transform

An analysis is performed to study the thermal radiation effects on unsteady free convective flow over a moving vertical plate in the presence of variable temperature and uniform mass flux. The fluid considered here is a gray, absorbing-emitting radiation but a non-scattering medium. The temperature is raised linearly with time 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 skinfriction are studied for different parameters like the radiation parameter, Schmidt number, thermal Grashof number, mass Grashof number and time. It is observed that the velocity increases with decreasing radiation parameter.

Natural Convection near a Moving Vertical Plate with Ramped Heat and Mass Fluxes in the Presence of Thermal Radiation

2017 ◽  
Vol 377 ◽  
pp. 211-232 ◽  
Author(s):  
Sanatan Das ◽  
Rabindra Nath Jana ◽  
Oluwole Daniel Makinde
Keyword(s):  
Thermal Radiation ◽  
Analytical Study ◽  
Schmidt Number ◽  
Vertical Plate ◽  
Boussinesq Approximation ◽  
Physical Parameters ◽  
Plate Temperature ◽  
Grashof Number ◽  
Mass Fluxes ◽  
Laplace Transform Technique

An analytical study of transient natural convective flow of a viscous incompressible optically thick radiating fluid past a moving vertical plate with ramped heat and mass fluxes in the presence of thermal radiation is performed. Exact solution of the governing equations under Boussinesq approximation, is obtained in closed form by Laplace transform technique. The expressions for the shear stress and at the plate temperature and concentration are also derived. The velocity profiles, temperature and species concentration are studied as functions of different physical parameters like radiation parameter, thermal Grashof number, mass Grashof number, Schmidt number, Prandtl number and time. The physical aspects of the problem are discussed.

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 Chemically reacting fluid flow induced by an exponentially accelerated infinite vertical plate in a magnetic field and variable temperature via LTT and FEM

2016 ◽  
Vol 43 (1) ◽  
pp. 49-83 ◽  
Author(s):  
Raju Srinivasa ◽  
G. Aruna ◽  
Swamy Naidu ◽  
S.V.K. Varma ◽  
M.M. Rashidi
Keyword(s):  
Magnetic Field ◽  
Fluid Flow ◽  
Vertical Plate ◽  
Flow Problem ◽  
Variable Temperature ◽  
Governing Equations ◽  
Linear Partial Differential Equations ◽  
Laplace Transform Technique ◽  
Chemically Reacting ◽  
Infinite Vertical Plate

In this research paper, we found both numerical and analytical solutions for the effect of chemical reaction on unsteady, incompressible, viscous fluid flow past an exponentially accelerated vertical plate with heat absorption and variable temperature in a magnetic field. The flow problem is governed by a system of coupled non-linear partial differential equations with suitable boundary conditions. We have solved the governing equations by an efficient, accurate, powerful finite element method (FEM) as well as Laplace transform technique (LTT). The evaluation of the numerical results are performed and graphical results for the velocity, temperature and concentration profiles within the boundary layer are discussed. Also, the expressions for the skin-friction, Nusselt number and the Sherwood number coefficients have been derived and discussed through graphs and tabular forms for different values of the governing parameters.

scholarly journals MHD and rotation effects on flow past an accelerated vertical plate with variable temperature and mass diffusion in the presence of chemical reaction

2013 ◽  
Vol 18 (4) ◽  
pp. 1087-1097
Author(s):  
R. Muthucumaraswamy ◽  
N. Dhanasekar ◽  
G. Easwara Prasad
Keyword(s):  
Magnetic Field ◽  
Chemical Reaction ◽  
Vertical Plate ◽  
Variable Temperature ◽  
Field Parameter ◽  
Physical Parameters ◽  
Grashof Number ◽  
Magnetic Field Parameter ◽  
Laplace Transform Technique ◽  
The Magnetic Field

Abstract An exact analysis of rotation effects on an unsteady flow of an incompressible and electrically conducting fluid past a uniformly accelerated infinite isothermal vertical plate, under the action of a transversely applied magnetic field is presented. The plate temperature is raised linearly with time and the concentration level near the plate is also raised to C’w. The dimensionless governing equations are solved using the Laplace-transform technique. The velocity profiles, temperature and concentration are studied for different physical parameters such as the magnetic field parameter, chemical reaction parameter, thermal Grashof number, mass Grashof number, Schmidt number, Prandtl number and time. It is observed that the velocity increases with increasing values of the thermal Grashof number or mass Grashof number. It is also observed that the velocity increases with decreasing values of the magnetic field parameter or rotation parameter Ω.

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 Radiation Effects on Oscillating Vertical Plate with Uniform Heat and Mass Flux

2013 ◽  
Vol 18 (3) ◽  
pp. 643-652
Author(s):  
P. Chandrakala ◽  
P. Narayana Bhaskar
Keyword(s):  
Mass Flux ◽  
Radiation Effects ◽  
Schmidt Number ◽  
Vertical Plate ◽  
Physical Parameters ◽  
Governing Equations ◽  
Uniform Heat ◽  
Laplace Transform Technique ◽  
The Laplace Transform ◽  
Oscillating Plate

Abstract Thermal radiation effects on flow past an impulsively started infinite vertical oscillating plate with uniform heat and mass flux is studied. The fluid considered here is a gray, absorbing-emitting radiation but a nonscattering medium. The dimensionless governing equations are solved using the Laplace-transform technique. The velocity, temperature and concentration are studied for different physical parameters such as the radiation parameter, phase angle, Schmidt number and time. The variation of the skin-friction for different values of the parameters is also shown in a table

Sign in / Sign up

Export Citation Format

Share Document