AM  Vol.5 No.10 , June 2014
A Closed-Form Solution of a Kinetic Integral Equation for Rarefied Gas Flow in a Cylindrical Duct
ABSTRACT

A spectral method based on Hermite cubic splines expansions combined with a collocation scheme is used to develop a solution for the vector form integral S-model kinetic equation describing rarefied gas flows in cylindrical geometry. Some manipulations are made to facilitate the computational treatment of the singularities inherent to the kernel. Numerical results for the simulation of flows generated by pressure and thermal gradients, Poiseuille and thermal-creep problems, are presented.


Cite this paper
Kamphorst, C. , Rodrigues, P. and Barichello, L. (2014) A Closed-Form Solution of a Kinetic Integral Equation for Rarefied Gas Flow in a Cylindrical Duct. Applied Mathematics, 5, 1516-1527. doi: 10.4236/am.2014.510145.
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