scholarly journals Linear and Weakly Nonlinear Stability Analyses of Two-Dimensional, Steady Brinkman–Bénard Convection Using Local Thermal Non-equilibrium Model

2017 ◽  
Vol 120 (3) ◽  
pp. 605-631 ◽  
Author(s):  
P. G. Siddheshwar ◽  
C. Siddabasappa
Keyword(s):  
Nonlinear Stability ◽  
Equilibrium Model ◽  
Two Dimensional ◽  
Weakly Nonlinear ◽  
Stability Analyses ◽  
Bénard Convection ◽  
Benard Convection ◽  
Non Equilibrium

scholarly journals The origin of hysteresis in the flag instability

2011 ◽  
Vol 691 ◽  
pp. 583-593 ◽  
Author(s):  
Christophe Eloy ◽  
Nicolas Kofman ◽  
Lionel Schouveiler
Keyword(s):  
Numerical Simulations ◽  
Hysteresis Loop ◽  
Nonlinear Stability ◽  
Slender Body ◽  
Two Dimensional ◽  
Weakly Nonlinear ◽  
Stability Analyses ◽  
Aeroelastic Instability ◽  
Large Hysteresis ◽  
Cantilevered Plate

AbstractThe flapping flag instability occurs when a flexible cantilevered plate is immersed in a uniform airflow. To this day, the nonlinear aspects of this aeroelastic instability are largely unknown. In particular, experiments in the literature all report a large hysteresis loop, while the bifurcation in numerical simulations is either supercritical or subcritical with a small hysteresis loop. In this paper, the discrepancy is addressed. First, weakly nonlinear stability analyses are conducted in the slender-body and two-dimensional limits, and, second, new experiments are performed with flat and curved plates. The discrepancy is attributed to inevitable planeity defects of the plates in the experiments.

The -dependence of the critical roughness height in two-dimensional turbulent Rayleigh–Bénard convection

2021 ◽  
Vol 911 ◽  
Author(s):  
Jian-Lin Yang ◽  
Yi-Zhao Zhang ◽  
Tian-cheng Jin ◽  
Yu-Hong Dong ◽  
Bo-Fu Wang ◽  
...  
Keyword(s):  
Roughness Height ◽  
Two Dimensional ◽  
Bénard Convection ◽  
Benard Convection ◽  
Rayleigh Benard Convection ◽  
Rayleigh Benard

Abstract

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