The system of integro-differential equations for the shape and strength of an arbitrary number of pairs of conical vortex sheets, representing flow separation from a conical slender body, is derived within the context of slender body theory. For the case when only one pair of vortex sheets exists—that representing primary flow separation from a sharp leading edge—a numerical Newton Raphson iterative procedure for the solution of the equations is developed, based on the vortex sheet-cut-isolated vortex model of Mangier and Smith. Some calculated examples are presented for a/(at plate and for circular-cone flat-plate combinations.nAlthough no specific improvements are made over previous treatments in the prediction of the separated-flow characteristics of slender conical bodies, it is believed that the value of the present approach lies in its generality and possible extension to the calculation of flows containing a number of pairs of vortex sheets.
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