The time periodic solutal effect on oscillatory convection in an electrically conducting lluid layer

2020 ◽  
Author(s):  
Palle Kiran ◽  
S. H. Manjula ◽  
P. Suresh ◽  
P. Raj Reddy
2014 ◽  
Vol 2014 ◽  
pp. 1-14 ◽  
Author(s):  
B. S. Bhadauria ◽  
Palle Kiran

The present paper deals with a weak nonlinear theory of double-diffusive magnetoconvection in an electrically conducting Newtonian liquid, confined between two horizontal surfaces, under a constant vertical magnetic field, and subjected to imposed time-periodic thermal boundaries. The temperature of both walls is varied time periodic in this case. The disturbances are expanded in terms of power series of amplitude of convection, which is assumed to be small. Using nonautonomous Ginzburg-Landau equation, the Nusselt and Sherwood numbers obtained analytically and studied heat and mass transport in the system. Effect of various parameters on the heat and mass transport is discussed extensively. It is found that the effect of magnetic field is to stabilize the system. Further, it is also notified that the heat and mass transport can be controlled by suitably adjusting the external parameters of the system.


2005 ◽  
Vol 60 (8-9) ◽  
pp. 583-592 ◽  
Author(s):  
Beer Singh Bhadauria

Thermal instability in a horizontal layer of an electrically conducting fluid heated from below has been investigated under the effects of uniform rotation about a vertical axis and an applied uniform vertical magnetic field. The temperature field between the walls of the fluid layer consists of two parts; a steady part and a time-dependent part, which varies periodically. The effect of modulation of the walls temperature on the onset of convection has been studied using Floquets theory. Stabilizing and destabilizing effects on the onset of convective instability have been found. Some comparisons have been made. - 2000 Mathematics Subject Classification: 76E06, 76R10.


2002 ◽  
Author(s):  
Antonio Jose Silveiro Rodrigo ◽  
Jose Paulo Barbosa Mota ◽  
Esteban Saatdjian

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