The linearized Boltzmann equation with Cercignani-Lampis boundary conditions: basic flow problems in a plane channel. (English) Zbl 1167.76360
Summary: A polynomial expansion procedure and the ADO (analytical discrete-ordinates) method are used to solve a collection of basic flow problems based on the linearized Boltzmann equation for rigid-sphere interactions and the Cercignani-Lampis boundary conditions with a free choice of the accommodation coefficients at each boundary. In particular, three classical problems defined by flow in a plane-parallel channel (Poiseuille, thermal-creep, and Couette flow) are solved (essentially) analytically and evaluated to a very high numerical standard. Some comparisons with known kinetic models are also reported.
MSC:
| 76P05 | Rarefied gas flows, Boltzmann equation in fluid mechanics |
Keywords:
rarefied gas dynamics; linearized Boltzmann equation; Cercignani-Lampis boundary condition; poiseuille flow; thermal-creep flow; couette flowReferences:
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