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Secondary flows in boundary layers of a gas induced by transverse slipping. (English. Russian original) Zbl 0677.76071

Fluid Dyn. 23, No. 5, 775-778 (1988); translation from Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza 1988, No. 5, 159-162 (1988).
Summary: A study is made of the secondary flows which arise in the boundary layers on a semi-infinite plate and on an infinite cone (supersonic regime) in the presence of the transverse slipping effect. The self-similar velocity profiles are determined, and the recoil force acting in the region of the leading edge of the plate is calculated, along with the distribution of the density of the axial torque along the generator of the cone.

MSC:

76N15 Gas dynamics (general theory)
76N20 Boundary-layer theory for compressible fluids and gas dynamics
76H05 Transonic flows
76M99 Basic methods in fluid mechanics
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References:

[1] O. G. Freedlander, ”Relations of symmetry and reciprocity in linear kinetic theory of gases,” Rarefied Gas Dynamics, Vol. 1 (ed. O. M. Belotserkovski) Plenum Press, New York (1985), p. 91.
[2] I. V. Volkov, ”Conditions for gas dynamics slipping on a rough surface,” Tr. TsAGI, No. 2269, 39 (1985).
[3] I. V. Volkov, ”Gas dynamic boundary conditions of slipping on an uneven surface,” Zh. Vychisl. Mat. Mat. Fiz.,28, 80 (1988).
[4] I. V. Volkov, ”Gas dynamic conditions for slipping on an uneven surface,” in: Proceedings of the Eighth All-Union Conference on the Dynamics of Rarefied Gases [in Russian], Moscow (1986), p. 38.
[5] H. Lamb, Hydrodynamics, Cambridge (1932).
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