Nonlinear Rayleigh–Taylor instability of cylindrical flow with mass transfer through porous media

Author(s):  
Mukesh Kumar Awasthi
1972 ◽  
Vol 94 (1) ◽  
pp. 156-160 ◽  
Author(s):  
D. Y. Hsieh

The effect on the interfacial gravity wave between two fluids is studied when there is a temperature gradient in the fluids. It is found that the thermal effect is closely related to the phase transformation across the interface. The interfacial conditions with mass flow are first derived. Then the dispersion relation for the interfacial wave is obtained. It is found that the effect of evaporation is to damp the interfacial wave and to enhance the Rayleigh-Taylor instability. It is also found that the system will be stabilized or destabilized depending on whether the vapor is hotter or colder than the liquid.


Meccanica ◽  
2010 ◽  
Vol 46 (6) ◽  
pp. 1331-1340 ◽  
Author(s):  
Aiyub Khan ◽  
S. S. Tak ◽  
Neha Sharma

1995 ◽  
Vol 50 (9) ◽  
pp. 805-812 ◽  
Author(s):  
Gurpreet K. Gill ◽  
R.K. Chhabra ◽  
S.K. Trehan

Abstract In this paper we study the nonlinear Rayleigh-Taylor instability in the case of magnetic fluids in the presence of heat and mass transfer. We find that there is a normal field instability in the linear case. The behaviour of the bubbles in the nonlinear analysis is the same as if they were leaving the surface when the liquid is superheated. The criterion for "Explosive Instability" is also examined.


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