Turbulent penetrative convection with an internal heat source

2001 ◽  
Vol 28 (6) ◽  
pp. 397-421 ◽  
Author(s):  
J R Chasnov ◽  
K L Tse
Keyword(s):  
Heat Source ◽  
Internal Heat ◽  
Internal Heat Source ◽  
Penetrative Convection

POROUS PENETRATIVE CONVECTION WITH A SALT FIELD AND INTERNAL HEAT SOURCE

1992 ◽  
Vol 02 (04) ◽  
pp. 407-421
Author(s):  
LORNA RICHARDSON
Keyword(s):  
Porous Medium ◽  
Temperature Gradient ◽  
Heat Source ◽  
Nonlinear Stability ◽  
Internal Heat ◽  
Internal Heat Source ◽  
Penetrative Convection ◽  
Weighted Energy ◽  
The Stability ◽  
Unconditional Nonlinear Stability

We investigate the stability of convection in a porous medium containing a heat source in which a destabilizing salt field and stabilizing temperature gradient are present. Both conditional and unconditional nonlinear stability thresholds are calculated and we note that RaE(conditional)>RaE(unconditional). The unconditional nonlinear analysis requires the use of a “weighted” energy.

Structural stability for the resonant porous penetrative convection

2012 ◽  
Vol 23 (6) ◽  
pp. 761-775 ◽  
Author(s):  
YAN LIU
Keyword(s):  
Porous Medium ◽  
Heat Source ◽  
Structural Stability ◽  
Nonlinear Function ◽  
Internal Heat ◽  
Internal Heat Source ◽  
Convergence Result ◽  
Isothermal Flow ◽  
Penetrative Convection

We study the structural stability of a problem in a porous medium when the density of saturating liquid is a nonlinear function of temperature and an internal heat source is present. We prove a convergence result for the Forchheimer coefficient. That is to say, when λ → 0, the solution of the non-isothermal flow in a porous medium of the Forchheimer type, see (1.1), can converge to the solution of the equivalent Darcy type.

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