Asymptotic theory of slightly rarefied gas flow and force on a closed body
Abstract
Steady gas flows at small Knudsen numbers around arbitrary bodies (asymptotic behavior for small Knudsen numbers of the solution of timeindependent boundary value problems of the Boltzmann equation over a general domain) are considered when the Reynolds number of the system is of the order of unity. The generalized slip flow theory developed for the BoltzmannKrookWelander equation is extended for the standard Boltzmann equation. From the result, the effect of gas rarefaction on the flow (the relation between Boltzmann and hydrodynamic systems) is clarified, and several features of the force on a closed body in the gas are derived.
 Publication:

Kyoto University Faculty Engineering Memoirs
 Pub Date:
 July 1987
 Bibcode:
 1987KyoMe..49..237S
 Keywords:

 Aerodynamic Forces;
 Asymptotic Methods;
 Boltzmann Transport Equation;
 Flow Theory;
 Rarefied Gas Dynamics;
 Boundary Value Problems;
 Flow Distribution;
 Slip Flow;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer