2011/11/22 by V. A. Akimova, А. В. Латышев, A. V. Latyshev +4
Engineering · Mathematics · Physics and Astronomy · #80 A99 #82 B40 #82 C40 #82 C99 #FOS: Physical sciences #Field-Flow Fractionation Techniques #Gas Dynamics and Kinetic Theory #Mathematical Physics (math-ph) #Ranque-Hilsch vortex tube #math-ph #math.MP #msc:80 #msc:82 #msc:A99 #msc:B40 #msc:C40 #msc:C99
paper · pdf · doi:10.48550/arxiv.1111.5182
26 pages, 5 figures
arxiv created 2011/11/22 · openalex publication_date 2011/11/22 · arxiv updated 2011/11/23 · openalex created_date 2016/08/23 · openalex updated_date 2026/07/28
In the present work the mathematical apparatus necessary for solving of second Stokes problem is developed. Second Stokes problem is the problem about behavior of rarefied gas filling half-space. A plane, limiting half-space, makes harmonious oscillations in this plane. At the heart of the analytical decision the homogeneous Riemann boundary value problem lays. The decision of homogeneous Riemann problem is function, factorizing problem. Integral representations for factorizing function is deduced. With the help of factorizing function the factorization formula for dispersion function is proved. Zero of dispersion function are searched by means of the factorization formula of dispersion function.