The linearized Boltzmann equation: concise and accurate solutions to basic flow problems

Authors:
C. E. Siewert
Affiliations:
Mathematics Department, North Carolina State University, Raleigh, NC
Venue:
Zeitschrift für Angewandte Mathematik und Physik (ZAMP)
Year:
2003

Citing 2
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Abstract

A polynomial expansion procedure and an analytical discrete-ordinates method are used to solve a collection of basic flow problems based on a rigorous version of the linearized Boltzmann equation for rigid-sphere interactions. In particular, two half-space problems, Kramers and thermal creep, and three problems defined by flow in a plane-parallel channel, Poiseuille, thermalcreep and Couette flow, are solved (essentially) analytically in terms of a modern version of the discrete-ordinates method. The developed algorithms are implemented for general values of the accommodation coefficient to yield numerical results that can be considered a new standard of reference.