Imperfect accommodation effects on the flow induced by thermal stresses in a rarefied gas
Abstract
In order to find out the effect of imperfect accommodation of gas molecules at a solid boundary on the flow due to thermal stress, the behavior of gas around an arbitrary but smooth shaped body with a uniform temperature which is placed in an infinite expanse of gas at rest with nonuniform temperature is investigated. The basis of the study is the linearized BoltzmannKrookWelander equation with Maxwell type boundary conditions for small Knudsen numbers. A formula for the slip velocity due to thermal stress is derived. The slip coefficient is increased as the accommodation coefficient is decreased. A sphere placed in a gas with a uniform temperature gradient is taken as an example. The physical mechanism of how the flow is induced is also discussed.
 Publication:

Heat Transfer Japanese Research
 Pub Date:
 December 1977
 Bibcode:
 1977HTJR....6....1S
 Keywords:

 Accommodation Coefficient;
 Gas Flow;
 Rarefied Gas Dynamics;
 Slip Flow;
 Temperature Distribution;
 Thermal Stresses;
 Boltzmann Transport Equation;
 Boundary Conditions;
 Boundary Value Problems;
 Krook Equation;
 Fluid Mechanics and Heat Transfer