Some exact results basic to the linearized Boltzmann equations for a binary mixture of rigid spheres

Zeitschrift fur Angewandte Mathematik und Physik

Volumn 57, Issue 6, 2006, Pages 999-1010

  Garcia, R D M ^a   Siewert, C E ^b  

^a HSH Scientific Computing   (Brazil)

^b NORTH CAROLINA STATE UNIVERSITY   (United States)

Author keywords

Binary mixtures; Rarefied gas dynamics; Rigid spheres

Indexed keywords

EID: 33750444916     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00033-005-0027-4     Document Type: Article

References (6)

1. R. D. M. Garcia, C. E. Siewert and M. M. R. Williams, A formulation of the linearized Boltzmann equations for a binary mixture of rigid spheres, Eur. J. Mech. B/Fluids 24 (2005), 614-620.
2. C. L. Pekeris, Solution of the Boltzmann-Hilbert integral equation, Proc. Natl. Acad. Sci. 41 (1955), 661-669.
3. S. Chapman and T. G. Cowling, The Mathematical Theory of Non-uniform Gases, Cambridge University Press, Cambridge 1952.
4. C. E. Siewert, A Legendre expansion and some exact solutions basic to the McCormack model for binary gas mixtures, Eur. J. Mech. B/Fluids 25 (2005), 130-136.
5. F. J. McCormack, Construction of linearized kinetic models for gaseous mixtures and molecular gases, Phys. Fluids 16 (1973), 2095-2105.
6. L. B. Barichello and C. E. Siewert, Some comments on modeling the linearized Boltzmann equation, J. Quant. Spectrosc. Rad. Trans. 77 (2003), 43-59.