|
Mathematical model of a kinetic boundary layer
A. L. Ankudinov Zhukovskii Central Institute of Aerohydrodynamics, ul. Zhukovskogo 1, Zhukovskii, Moscow oblast, 140180, Russia
Abstract:
The two-dimensional (plane) problem of a hypersonic kinetic boundary layer developing on a thin body in the case of a homogeneous polyatomic gas flow with no dissociation or electron excitation is considered assuming that energy exchange between translational and internal molecular degrees of freedom is easy. (The approximation of a hypersonic kinetic boundary layer arises from the kinetic theory of gases and, within the thin-layer model, takes into account the strong nonequilibrium of the hypersonic flow with respect to translational and internal degrees of freedom of the gas particles.) A method is proposed for constructing the solution of the given kinetic problem in terms of a given solution of an equivalent well-studied classical Navier–Stokes hypersonic boundary layer problem (which is traditionally formulated on the basis of the Navier–Stokes equations).
Key words:
hypersonic kinetic boundary layer equations, classical hypersonic boundary layer equations, plane problem, polyatomic gas, mathematical simulation methods.
Received: 24.05.2013
Citation:
A. L. Ankudinov, “Mathematical model of a kinetic boundary layer”, Zh. Vychisl. Mat. Mat. Fiz., 54:6 (2014), 1000–1007; Comput. Math. Math. Phys., 54:6 (2014), 1005–1011
Linking options:
https://www.mathnet.ru/eng/zvmmf10052 https://www.mathnet.ru/eng/zvmmf/v54/i6/p1000
|
Statistics & downloads: |
Abstract page: | 197 | Full-text PDF : | 50 | References: | 50 | First page: | 8 |
|