TITLE:
Comparison of Solution Methods for some Classical Flow Problems in Rarified Gas Dynamics
AUTHORS:
Ignatius N. Njoseh, Alex Musa
KEYWORDS:
Discrete Ordinate; Finite Difference; Pressure Gradient; Temperature Difference; Knudsen Number
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.1 No.3,
September
20,
2013
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.