Solution of a boundary value problem for the Navier–Stokes equations linearized with respect to velocity: Nonisothermal flow of a gaseous medium past a uniformly heated sphere

For the problem on a plane-parallel gas flow with velocity U∞ past a fixed uniformly heated spherical particle, we obtain a solution of the Navier–Stokes equations linearized with respect to velocity in the spherical coordinate system with regard to the power-law dependence of the molecular transpor...

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Veröffentlicht in:Differential equations 2015-10, Vol.51 (10), p.1319-1329
Hauptverfasser: Malai, N. V., Limanskaya, A. V., Shchukin, E. R.
Format: Artikel
Sprache:eng
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Zusammenfassung:For the problem on a plane-parallel gas flow with velocity U∞ past a fixed uniformly heated spherical particle, we obtain a solution of the Navier–Stokes equations linearized with respect to velocity in the spherical coordinate system with regard to the power-law dependence of the molecular transport coefficients (viscosity and thermal conductivity) and the gas medium density on the temperature. The uniqueness of this solution is proved.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266115100079