Poiseuille and Thermal-Creep Flow in a Cylindrical Tube

L. B. Barichello, M. Camargo, P. Rodrigues, and, C. E. Siewert, On unified solutions to some classical flow problems based on the BGK model, submitted for publication, 1999. Barichello, 1999, A discrete-ordinates solution for a non-grey model with complete frequency redistribution, J. Quant. Spectros. Radiat. Transfer, 62, 665, 10.1016/S0022-4073(98)00096-X Chandrasekhar, 1950, Radiative Transfer Bhatnagar, 1954, A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems, Phys. Rev., 94, 511, 10.1103/PhysRev.94.511 Cercignani, 1990, Mathematical Methods in Kinetic Theory, 10.1007/978-1-4899-7291-0 Williams, 1971, Mathematical Methods in Particle Transport Theory Valougeorgis, 1986, Exact numerical results for Poiseuille and thermal creep flow in a cylindrical tube, Phys. Fluids, 29, 423, 10.1063/1.865725 Ferziger, 1967, Flow of a rarefied gas through a cylindrical tube, Phys. Fluids, 10, 1448, 10.1063/1.1762304 Loyalka, 1969, Thermal transpiration in a cylindrical tube, Phys. Fluids, 12, 2301, 10.1063/1.1692346 Garcia, 1985, A review of the facile (FN) method in particle transport theory, Transport Theory Stat. Phys., 14, 391, 10.1080/00411458508211686 Abramowitz, 1964, Handbook of Mathematical Functions Loyalka, 1975, Kinetic theory of thermal transpiration and mechanocaloric effect. II, J. Chem. Phys., 63, 4054, 10.1063/1.431847 Thomas, 1983, The critical problem for an infinite cylinder, Nucl. Sci. Eng., 84, 79, 10.13182/NSE83-A17715 Siewert, 1984, Neutron transport calculations in cylindrical geometry, Nucl. Sci. Eng., 87, 107, 10.13182/NSE84-A17705 Mitsis, 1963, Transport Solutions to the Monoenergetic Critical Problems, 10.2172/4118021 Siewert, 1999, Efficient eigenvalue calculations in radiative transfer, J. Quant. Spectrosc. Radiat. Transfer, 62, 685, 10.1016/S0022-4073(98)00099-5 Golub, 1989, Matrix Computations Garcia, 1999, The application of nonclassical orthogonal polynomials in particle transport theory, Progr. Nucl. Energy, 35, 249, 10.1016/S0149-1970(99)00018-9 M. J. Gander, and, A. H. Karp, Stable computation of high order Gauss quadrature rules using discretization for measures in radiation transfer, J. Quant. Spectros. Radiat. Transfer, (in press). Dongarra, 1979, LINPACK User's Guide, 10.1137/1.9781611971811