Barichello, L.B., Camargo, M., Rodrigues, P. and Siewert, C.E. (2002) An Integral Equation Basic to the BGK Model for Flow in a Cylindrical Tube. Zeitschrift für angewandte Mathematik und Physik, 53, 769-781.
http://dx.doi.org/10.1007/s00033-002-8182-3

has been cited by the following article:

• TITLE: A Closed-Form Solution of a Kinetic Integral Equation for Rarefied Gas Flow in a Cylindrical Duct

  AUTHORS: Carmo Henrique Kamphorst, Patricia Rodrigues, Liliane Basso Barichello

  KEYWORDS: Rarefied Gas Dynamics, Integral Equation, S-Model, Collocation Schemes

  JOURNAL NAME: Applied Mathematics, Vol.5 No.10, June 3, 2014

  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.