Mixed convection flow along a vertical plate subjected to time-periodic surface temperature oscillations

2005 ◽  
Vol 44 (6) ◽  
pp. 531-539 ◽  
Author(s):  
Nawaf H. Saeid
Keyword(s):  
Mixed Convection ◽  
Surface Temperature ◽  
Vertical Plate ◽  
Convection Flow ◽  
Mixed Convection Flow ◽  
Periodic Surface ◽  
Temperature Oscillations ◽  
Time Periodic

scholarly journals MHD Mixed Convection Flow over a Permeable Vertical Plate with Buoyancy and Soret Effects

2012 ◽  
Vol 11 (3) ◽  
pp. 51-76
Author(s):  
J Prakash ◽  
B Rushi Kumar ◽  
R Sivaraj
Keyword(s):  
Boundary Layer ◽  
Mass Transfer ◽  
Mixed Convection ◽  
Vertical Plate ◽  
Ohmic Heating ◽  
Convection Flow ◽  
Mixed Convection Flow ◽  
Governing Equations ◽  
Transfer Coefficients ◽  
Transfer Equations

This study examines the problem of steady, MHD, mixed convection flow of an incompressible viscous fluid past a semi-infinite vertical permeable plate with slip condition at the boundary layer. The flow field is exposed to the influence of buoyancy, Ohmic heating and Soret effects. The governing equations include the continuity, linear momentum, energy and mass transfer equations which are solved analytically by using perturbation method. The results of this parametric study on the velocity, temperature and concentration distributions are shown graphically and the physical aspects of the problem are highlighted and discussed. The effect of shear stress, rate of heat and mass transfer coefficients at the channel walls are displayed in tables.

The stability of thermal oscillations in a reactive slab: reduction to Hill’s equation

1982 ◽  
Vol 384 (1787) ◽  
pp. 455-462
Keyword(s):  
Surface Temperature ◽  
Hill’S Equation ◽  
Periodic Surface ◽  
Temperature Oscillations ◽  
Hill's Equation ◽  
Chemically Reacting ◽  
The Stability ◽  
Thermal Oscillations ◽  
Surface Temperature Variation ◽  
Time Periodic

The thermal stability of an exothermic chemically reacting slab with time-periodic surface temperature variation is examined. It is shown, on the basis of a good approximation due to Boddington, Gray and Walker, that the behaviour depends on the solutions of an ordinary differential equation of first order. The equation contains a modified amplitude, for small values of which it can be reduced to a particular form of Hill’s equation. Critical values of the Frank-Kamenetskii parameter, as a function of the amplitude ϵ and frequency ω of the surface temperature oscillations, are derived from the latter equation. For ω = 2π and 0 ≼ ϵ ≼ 2 the values are in good agreement with previously calculated ones.

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