Mathematical modeling of rarefied gas mixtures in nonequilibrium
Speaker 
Lecture(via skype) by Mr. Vinay Kumar Gupta, Center for Computational Engineering Science, Department of Mathematics, RWTH Aachen University, Germany


When 
Oct 09, 2015
from 04:00 PM to 05:00 PM 
Where  LH006 
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Abstract
The gaseous mixtures are encountered more often than a single gas in practice. The modeling of gas flows—especially, in the socalled transition regime—is a challenging problem. In this regime, the traditional fluid dynamical models, e.g., NavierStokesFourier equations, fail to fully describe the flow whereas the direct solutions, e.g. by direct simulation Monte Carlo (DSMC) or by discrete velocity method are computationally very expensive. In this talk, the extended Grad’s moment equations and associated boundary conditions, which have been derived through Maxwell accommodation model, will be presented for modeling gasmixture flows. In addition to this, some interesting results on few benchmark problems of binary gas mixtures in fluid mechanics, that have been studied through the derived moment equations and boundary conditions, will also be presented. Finally, a new set of equations, termed as the regularized 17moment (R17) equations for binary gas mixtures will be presented. The R17 equations are third order accurate in the Knudsen number and are equivalent to superBurnett equations for binary gas mixtures.