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首页> 美国政府科技报告 >A Formulation of the Three-Dimensional Potential Flow Field around a Lifting Wing by Use of the Surface Velocity Components: An Extension of the Prager-Vandrey-Martensen Procedure to the Three Dimensional Case
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A Formulation of the Three-Dimensional Potential Flow Field around a Lifting Wing by Use of the Surface Velocity Components: An Extension of the Prager-Vandrey-Martensen Procedure to the Three Dimensional Case

机译：利用表面速度分量构造提升翼周围三维势流场：prager-Vandrey-martensen程序扩展到三维情形

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摘要

An integral equation of the second kind for the surface velocity components of the three dimensional incompressible potential flow around a body is obtained by extending the procedure for the two dimensional case. The formulation is based on the representation of the velocity potential by a doublet distribution over the body surface, and is realized by replacing the original surface boundary condition of the vanishing normal velocity component with the equivalent condition of the quiescent flow in the region inside the body. The formation is generalized to cases where the normal velocity component to the body surface does not necessarily vanish identically so that it can be utilized in the boundary layer displacement model procedure designed to account for viscous effects within the scope of the inviscid flow theory. This generalization is accomplished by combining the above-mentioned doublet distribution with a source distribution of prescribed strengths. The behavior of our basic integral equation at the trailing edge of a wing is studied. The geometry of the trailing vortex sheet and the direction of vortex shedding in the immediate neighborhood of the trailing edge bear essential relations to the fulfillment of the Kutta condition.

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