Unified solutions to some classical problems in rarefied gas dynamics based on the one-dimensional linearized S-model equations

An analytical version of the discrete-ordinates method is used to derive solutions for a class of problems defined in terms of the S-model kinetic equations. In addition to a general derivation, which is common to all the problems, specific analytical and computational aspects for each one of the problems are presented. In particular, numerical results for velocity profile, heat-flow profile and flow rates are obtained with high accuracy for the plane channel problems. In the case of half-space problems, the thermal and viscous-slip coefficients are also listed.