scholarly journals Bounds for the growth of a perturbation in some double-diffusive convection problems

Author(s):  
J. R. Gupta ◽  
S. K. Sood ◽  
R. G. Shandil ◽  
M. B. Banerjee ◽  
K. Banerjee

AbstractBounds are presented for the modulus of the complex growth rate p of an arbitrary oscillatory perturbation, neutral or unstable, in some double-diffusive problems of relevance in oceanography, astrophysics and non-Newtonian fluid mechanics.

2012 ◽  
Vol 692 ◽  
pp. 1-4 ◽  
Author(s):  
R. W. Schmitt

AbstractSalt fingers are a form of double-diffusive convection that can occur in a wide variety of fluid systems, ranging from stellar interiors and oceans to magma chambers. Their amplitude has long been difficult to quantify, and a variety of mechanisms have been proposed. Radko & Smith (J. Fluid Mech., this issue, vol. 692, 2012, pp. 5–27) have developed a new theory that balances the basic growth rate with that of secondary instabilities that act on the finite amplitude fingers. Their approach promises a way forward for computationally challenging systems with vastly different scales of decay for momentum, heat and dissolved substances.


Author(s):  
Pierre Dupont ◽  
O. Gorieu ◽  
Hassan Peerhossaini ◽  
M. Kestoras

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