Abstract

The transonic flow of a compressible inviscid fluid past a nearly axisymmetric slender body is dealt with by dividing the perturbation velocity potential into two parts:–the one is governed by the fundamental equation of an axisymmetric transonic flow, and the other is determined by the two-dimensional Laplace's equation in the plane perpendicular to the free-stream velocity vector. As the axisymmetric transonic flow can be dealt with by a new approximation offered in a previous paper, and the solution of the two-dimensional Laplace's equation is easily found, the present problem can be solved. As examples the flow past an elliptic paraboloid of finite length is discussed and the head drag and the lift coefficients of a paraboloid of revolution of finite length are obtained.

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