Abstract

The asymptotics of solution of the Navier — Stokes equation which determines the flow at considerable distance downstream of a lift airfoil of finite dimensions is investigated. The velocity field is divided in two regions. In the outer region the motion of gas conforms to Euler 's equation, while the inner region contains a laminar trail which is determined in the longitudinal direction by the heat flux and by tangential viscous stresses. The continuation of solution from one region to the other is achieved by the method of joining external and internal asymptotic expansions. in the case of three-dimensional flows the problem of joining is complicated by the oscillatory character of the trail external boundary induced by the lift force.

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