Linear and Nonlinear Stability Analysis of a Horton–Rogers–Lapwood Problem with an Internal Heat Source and Brinkman Effects

2017 ◽  
Vol 117 (2) ◽  
pp. 261-280 ◽  
Author(s):  
Reena Nandal ◽  
Amit Mahajan
Keyword(s):  
Stability Analysis ◽  
Heat Source ◽  
Nonlinear Stability ◽  
Internal Heat ◽  
Internal Heat Source ◽  
Nonlinear Stability Analysis ◽  
Linear And Nonlinear

scholarly journals Linear and nonlinear stability analysis of binary viscoelastic fluid convection

2013 ◽  
Vol 37 (16-17) ◽  
pp. 8162-8178 ◽  
Author(s):  
Mahesha Narayana ◽  
Precious Sibanda ◽  
Pradeep G. Siddheshwar ◽  
G. Jayalatha
Keyword(s):  
Stability Analysis ◽  
Viscoelastic Fluid ◽  
Nonlinear Stability ◽  
Nonlinear Stability Analysis ◽  
Fluid Convection ◽  
Linear And Nonlinear

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.

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