Abstract
A comparison of two methods of solution to classical flow problem in rarefied gas dynamics was presented. The two methods were chosen to examine the effect of the following transport phenomena (pressure gradient and temperature difference) viz Poiseuille and Thermal creep respectively on the flow of rarefied gas. The governing equations were approximated using BGK model. It was shown that while the Discrete Ordinate Method could consider more values of the accommodation coefficients, the Finite Difference Method can only take accommodation coefficient of one. It was also shown that the flow rate has its minimum in both solution methods at Kn = 0.1 in the transition regime and that as the channels get wider, the Thermal creep volume flow rates get smaller.
Highlights
In the recent literature there is a growing interest to solve problems in rarefied gas dynamics
The two methods were chosen to examine the effect of the following transport phenomena viz Poiseuille and Thermal creep respectively on the flow of rarefied gas
Barichello, et al [13] studied a version of the discrete-ordinates method to solve in a unified manner some classical flow problems based on the Bhatnagar, Gross and Krook model in the theory of rarefied gas dynamics
Summary
In the recent literature there is a growing interest to solve problems in rarefied gas dynamics. The main objective of this work is to do a comparison of two of the most widely used methods in the numerical study of rarefied gas flow problem: the Discrete Ordinate method (DOM) and the Finite Difference Method (FDM). Barichello, et al [13] studied a version of the discrete-ordinates method to solve in a unified manner some classical flow problems based on the Bhatnagar, Gross and Krook model in the theory of rarefied gas dynamics. Scherer and Barichello [14] studied an analytical version of the discrete-ordinates method, the ADO method, to solve two problems in the rarefied gas dynamics field, which describe evaporation/condensation between two parallel interfaces and the case of a semiinfinite medium. Worthy of note are the works of [17,18,19,20,21,22] and other references therein
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