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Coupled heat transfer between a viscous shock gasdynamic layer and a transversely streamlined anisotropic half-space
Author(s) -
О. В. Тушавина
Publication year - 2020
Publication title -
incas buletin
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.282
H-Index - 10
eISSN - 2247-4528
pISSN - 2066-8201
DOI - 10.13111/2066-8201.2020.12.s.20
Subject(s) - mechanics , heat transfer , boundary layer , thermal conductivity , physics , anisotropy , shock (circulatory) , shock wave , classical mechanics , half space , boundary value problem , mathematical analysis , mathematics , thermodynamics , optics , medicine
The purpose of the article is to analytically solve the conjugate problem of heat transfer in a viscous shock layer on a blunt object and thermal conductivity in an anisotropic half-space. A feature of the flow around such bodies near the critical point is that in this case, the boundary layer equations are not satisfied and it is necessary to solve the Navier-Stokes equations together with the equations of continuity, state, and energy, however, in a stationary formulation of an incompressible flow. The problem of coupled heat transfer between a viscous shock gasdynamic layer and anisotropic half-space with the assumption of incompressibility of the gasdynamic flow behind the normal part of the shock wave is posed. An analytical solution to this problem is obtained with a boundary condition at the gas-solid object interface in the form of a parameter – temperature, as well as an analytical solution to the thermal conductivity problem in an anisotropic half-space with the same boundary condition.