scholarly journals The influence of chemical reaction and viscous dissipation on unsteady MHD free convection flow past an exponentially accelerated vertical plate with variable surface conditions

2013 ◽  
Vol 19 (2) ◽  
pp. 181-193 ◽  
Author(s):  
P.M. Kishore ◽  
D. Bhanumathi ◽  
Vijayakumar Verma
Keyword(s):  
Free Convection ◽  
Viscous Dissipation ◽  
Chemical Reaction ◽  
Vertical Plate ◽  
Numerical Study ◽  
Concentration Field ◽  
Convection Flow ◽  
Free Convection Flow ◽  
Variable Surface ◽  
Flow Variables

A numerical study is presented on the effects of chemical reaction and magnetic field on the unsteady free convection flow, heat and mass transfer characteristics in a viscous, incompressible and electrically conducting fluid past an exponentially accelerated vertical plate by taking into account the heat due to viscous dissipation. The problem is governed by coupled non-linear partial differential equations. The dimensionless equations of the problem have been solved numerically by the implicit finite difference method of Crank - Nicolson?s type. The effects of governing parameters on the flow variables are discussed quantitatively with the aid of graphs for the flow field, temperature field, concentration field, skin-friction, Nusselt number and Sherwood number. It is found that under the influence of chemical reaction, the flow velocity as well as concentration distributions reduce, while the viscous dissipation parameter leads to increase the temperature.

scholarly journals Thermal Radiation Effects on MHD Free Convection Flow Past an Impulsively Started Vertical Plate with Variable Surface Temperature and Concentration

2009 ◽  
Vol 5 (2) ◽  
pp. 57-70 ◽  
Author(s):  
S. Suneetha ◽  
N. Bhaskar Reddy ◽  
V. Ramachandra Prasad
Keyword(s):  
Boundary Layer ◽  
Free Convection ◽  
Thermal Radiation ◽  
Viscous Dissipation ◽  
Radiation Effects ◽  
Vertical Plate ◽  
Convection Flow ◽  
Free Convection Flow ◽  
Variable Surface ◽  
Variable Surface Temperature

Thermal radiation effects on hydromagnetic free convection flow past an impulsively started vertical plate with variable surface temperature and concentration is analyzed, by taking into account the heat due to viscous dissipation. The governing boundary layer equations of the flow field are solved by an implicit finite difference method of Crank-Nicholson type. A parametric study is performed to illustrate the influence of radiation parameter, magnetic parameter, Grashof number, Prandtl number, Eckert number on the velocity, temperature and concentration profiles. Also, the local and average skin-friction coefficient, Nusselt number and Sherwood number are presented graphically. The numerical results reveal that an increase in thermal radiation reduces both the velocity and temperature in the boundary layer and a rise in viscous dissipation accelerates the flow.  Key words: Thermal radiation, MHD, viscous dissipation, vertical plate. DOI: 10.3329/jname.v5i2.2694   Journal of Naval Architecture and Marine Engineering 5(2)(2008) 57-70

scholarly journals Dissipation Effect On A Free Convection Flow Past A Porous Vertical Plate

1970 ◽  
Vol 6 (1) ◽  
pp. 52-59
Author(s):  
Amena Ferdousi ◽  
MA Alim
Keyword(s):  
Free Convection ◽  
Vertical Plate ◽  
Numerical Study ◽  
Porous Plate ◽  
Convection Flow ◽  
Free Convection Flow ◽  
Box Scheme ◽  
Flow Through ◽  
Implicit Finite Difference ◽  
Boundary Equations

A Numerical study on the effect of dissipation on a steady free convection flow through a porous vertical plate is made. The relevant non-leaner boundary equations are made dimensionless using specific non-dimensional variables. The corresponding non-similar partial differential equations are solved using implicit finite difference method with Keller-Box scheme. The results are then presented graphically and discussed thereafter. Keywords: porous plate; viscous dissipation; natural convection. DOI: http://dx.doi.org/10.3329/diujst.v6i1.9334 DIUJST 2011; 6(1): 52-59

scholarly journals Finite difference solution of radiation effects on MHD unsteady free-convection flow over vertical plate with variable surface temperature

2003 ◽  
Vol 2003 (2) ◽  
pp. 65-86 ◽  
Author(s):  
M. A. Abd El-Naby ◽  
Elsayed M. E. Elbarbary ◽  
Nader Y. Abdelazem
Keyword(s):  
Finite Difference ◽  
Free Convection ◽  
Radiation Effects ◽  
Vertical Plate ◽  
Convection Flow ◽  
Temperature Profiles ◽  
Radiation Parameter ◽  
Free Convection Flow ◽  
Variable Surface ◽  
Variable Surface Temperature

An analysis is performed to study radiation effects on magnetohydrodynamic (MHD) unsteady free-convection flow past a semi-infinite vertical plate with variable surface temperature in the presence of transversal uniform magnetic field. The boundary layer equations are transformed into a linear algebraic system by an implicit finite-difference method. A parametric study is performed to illustrate the influence of radiation parameter, magnetic parameter, and Prandtl number on the velocity and temperature profiles. The numerical results reveal that the radiation has significant influences on the velocity and temperature profiles, skin friction, and Nusselt number. The results indicate that the velocity, temperature, and local and average skin friction increase as the radiation parameter increases, while the local and average Nusselt numbers decrease as the radiation parameter increases.

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