Linear and nonlinear stability analyses of thermal convection for Oldroyd-B fluids in porous media heated from below

2008 ◽  
Vol 20 (8) ◽  
pp. 084103 ◽  
Author(s):  
Zhiyong Zhang ◽  
Ceji Fu ◽  
Wenchang Tan
Keyword(s):  
Porous Media ◽  
Nonlinear Stability ◽  
Thermal Convection ◽  
Stability Analyses ◽  
Linear And Nonlinear

Dynamic response of free span pipelines via linear and nonlinear stability analyses

2018 ◽  
Vol 163 ◽  
pp. 533-543 ◽  
Author(s):  
E.V.M. dos Reis ◽  
L.A. Sphaier ◽  
L.C.S. Nunes ◽  
L.S. de B. Alves
Keyword(s):  
Dynamic Response ◽  
Nonlinear Stability ◽  
Stability Analyses ◽  
Linear And Nonlinear

scholarly journals The onset of thermal convection in anisotropic and rotating bidisperse porous media

2021 ◽  
Vol 72 (4) ◽  
Author(s):  
F. Capone ◽  
M. Gentile ◽  
G. Massa
Keyword(s):  
Porous Media ◽  
Nonlinear Stability ◽  
Thermal Convection ◽  
Linear Instability ◽  
Optimal Result

AbstractThe onset of thermal convection in anisotropic rotating bidisperse porous media is investigated. The optimal result concerning the coincidence between linear instability and nonlinear stability thresholds with respect the $$L^2$$ L 2 -norm is obtained.

scholarly journals Effect of anisotropy on the onset of convection in rotating bi-disperse Brinkman porous media

2021 ◽  
Author(s):  
Florinda Capone ◽  
Roberta De Luca ◽  
Giuliana Massa
Keyword(s):  
Porous Medium ◽  
Porous Media ◽  
Steady State ◽  
Nonlinear Stability ◽  
Linear Instability ◽  
Combined Effects ◽  
Nonlinear Stability Analysis ◽  
Onset Of Convection ◽  
Linear And Nonlinear ◽  
The Stability

AbstractThermal convection in a horizontally isotropic bi-disperse porous medium (BDPM) uniformly heated from below is analysed. The combined effects of uniform vertical rotation and Brinkman law on the stability of the steady state of the momentum equations in a BDPM are investigated. Linear and nonlinear stability analysis of the conduction solution is performed, and the coincidence between linear instability and nonlinear stability thresholds in the $$L^2$$ L 2 -norm is obtained.

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