Abstract
The linearized kinetic S-model is used to study the non-isothermal steady rarefied gas flow driven by differences in pressure and temperature in a plane channel between long finite parallel plates joining two reservoirs of infinite volume. An efficient composite (asymptotic) method is developed: a one-dimensional asymptotic solution corresponding to an infinitely long channel is constructed in the middle part of the computational domain, while a solution of the two-dimensional kinetic equation matched with the middle part asymptotic solution is constructed near the ends of the channel. The latter solution is found numerically by a high-order accurate conservative method. The basic quantity to be computed is the gas flow rate through the channel. Characteristic flow features are also investigated.
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