Accession Number : ADA523024


Title :   Derivation of Grad's Thirteen Regularized Moment Equations Using a Hermite Polynomial Representation of Velocity Distribution Function (Preprint)


Descriptive Note : Journal article Preprint


Corporate Author : AIR FORCE RESEARCH LAB EDWARDS AFB CA PROPULSION DIRECTORATE


Personal Author(s) : Pekker, L ; Pekker, O ; Timchenko, V


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a523024.pdf


Report Date : 16 Jun 2010


Pagination or Media Count : 31


Abstract : This paper derives the transport equations for rarefied gases from the Bhatnagar-Gross-Krook (BGK) model kinetic equation using Hermite polynomial representation of the velocity distribution function. We apply the Champmen-Enskog method to Grad's thirteen moment equations to derive a closure of Grad's 13 moment equations, extending them to third order of the Knudsen number. The velocity distribution function for the resulting 13 regularized moment equations is presented.


Descriptors :   *VELOCITY , *SPECIAL FUNCTIONS(MATHEMATICS) , *RAREFIED GASES , KNUDSEN NUMBER , KINETIC THEORY , EQUATIONS , MATHEMATICAL MODELS


Subject Categories : Numerical Mathematics
      Fluid Mechanics


Distribution Statement : APPROVED FOR PUBLIC RELEASE