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A Wake Model for Free-Streamline Flow Theory Part I. Fully and Partially Developed Wake Flows and Cavity Flows past an Oblique Flat Plate

Wu, T. Yao-tsu (1961) A Wake Model for Free-Streamline Flow Theory Part I. Fully and Partially Developed Wake Flows and Cavity Flows past an Oblique Flat Plate. California Institute of Technology , Pasadena, CA. (Unpublished)

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A wake model for the free-streamline theory is proposed to treat the two-dimensional flow past an obstacle with a wake or cavity formation. In this model the wake flow is approximately described in the large by an equivalent potential flow such that along the wake boundary the pressure first assumes a prescribed constant under-pressure in a region downstream of the separation points (called the near-wake) and then increases continuously from this under-pressure to the given free stream value in an infinite wake strip of finite width (the far-wake). The boundary of the wake trailing a lifting body is allowed to change its slope and curvature at finite distances from the body and is required to be parallel to the main stream only asymptotically at downstream infinity. The pressure variation along the far-wake takes place in such a way that the upper and lower boundaries of the far-wake form a branch slit of undetermined shape in the hodograph plane. One advantage of this wake model is that it provides a rather smooth continuous transition of the hydrodynamic forces from the fully developed wake flow to the fully wetted flow as the wake disappears. When applied to the wake flow past an inclined flat plate, this model yields the exact solution in a closed form for the whole range of the wake under-pressure coefficient. The separated flow over a slightly cambered plate can be calculated by a perturbation theory based on this exact solution.

Item Type:Report or Paper (Technical Report)
Additional Information:This work is sponsored by the Office of Naval Research of the U. S. Navy, under contract Nonr 220(35). The assistance rendered by Mrs. Zora Harrison in the computations and graphical works and by Mrs. Barbara Hawk in preparing the manuscript is greatly appreciated.
Funding AgencyGrant Number
Office of Naval Research (ONR)Nonr 220(35)
Record Number:CaltechAUTHORS:EngDivRpt97-2
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:423
Deposited By: Archive Administrator
Deposited On:17 Jun 2005
Last Modified:02 Oct 2019 22:33

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