scholarly journals Effect of heat-flux boundary conditions on the Rayleigh-Bénard instability in a rarefied gas

2019 ◽  
Vol 4 (3) ◽  
Author(s):  
Y. Ben-Ami ◽  
A. Manela
2015 ◽  
Vol 17 (5) ◽  
pp. 1185-1200 ◽  
Author(s):  
Jianping Meng ◽  
Yonghao Zhang ◽  
Jason M. Reese

AbstractWe investigate unidirectional rarefied flows confined between two infinite parallel plates with specified heat flux boundary conditions. Both Couette and force-driven Poiseuille flows are considered. The flow behaviors are analyzed numerically by solving the Shakhov model of the Boltzmann equation. We find that a zero-heat-flux wall can significantly influence the flow behavior, including the velocity slip and temperature jump at the wall, especially for high-speed flows. The predicted bimodal-like temperature profile for force-driven flows cannot even be qualitatively captured by the Navier-Stokes-Fourier equations.


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