Analytical solution of second Stokes problem of behaviour of rarefied gas with Cercignani boundary accomodation conditions

Abstract

Analytical solution of second Stokes problem of behaviour of rarefied gas with Cercignani boundary accomodation conditions The second Stokes problem about behaviour of rarefied gas filling half-space is analytically solved. A plane, limiting half-space, makes harmonious fluctuations in the plane. The kinetic BGK-equation (Bhatnagar, Gross, Krook) is used. The boundary accomodation conditions of Cercignani of reflexion gaseous molecules from a wall are considered. Distribution function of the gaseous molecules is constructed. The velocity of gas in half-space is found, also its value direct at a wall is found. The force resistance operating from gas on border is found. Besides, the capacity of dissipation of the energy falling to unit of area of the fluctuating plate limiting gas is obtained.

26 pages, 5 figures

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• High-Frequency Nanofluidics: An Experimental Study using Nanomechanical Resonators
• Analytical solution of the second Stokes problem on behavior of gas over a oscillation surface. Part I: eigenvalues and eigensolutions
• Analytical Solution of Second Stokes Problem on Behavior of Gas over Oscillation Surface. Part II: Mathematical Apparatus for Solving of Problem
• Analytical Solution of Second Stokes Problem on Behavior of Gas over Oscillation Surface. Part III: Solving of Problem and Applications

Cited by in corpus (1)

• Analytical solution of the second Stokes problem with variable amplitude on behaviour of gas over oscillation surface. Part I: eigenvalues and eigensolutions