Abstract
A kinetic-theory analysis is made of the flow of a rarefied gas from one reservoir to another through twodimensional nozzles with arbitrary contour. The Boltzmann equation, simplified by the Bhatnagar, Gross, and Krook model for the collision integral, is solved by means of finite difference approximations with the discrete ordinate method. The physical space is transformed by a general grid-generation technique, and the velocity space is transformed to a polar coordinate system. A numerical code is developed that can be applied to any two-dimensional passage of complicated geometry for the flow regimes from free-molecular to slip. Numerical values of flow quantities can be calculated for the entire physical space, including both inside the nozzle and in the outside plume. Predictions are made for the case of parallel slots and compared with existing literature data. Also, results for the cases of convergent or divergent slots and two-dimensional nozzles with arbitrary contour at arbitrary Knudsen number are presented.
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