Some Exact Solutions of Two-dimensional Flows of Compressible Fluid with Hodograph Method PDF Download

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Some Exact Solutions of Two-dimensional Flows of Compressible Fluid with Hodograph Method

Some Exact Solutions of Two-dimensional Flows of Compressible Fluid with Hodograph Method PDF Author: Jieqian Zhang
Publisher:
ISBN:
Category : Gas flow
Languages : en
Pages : 63

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Book Description
A suggestion is given for classifying the compressible potential flows according to the location and number of singularities in the subsonic region of the hodograph plane, which seems to offer a convenient criterion for systematic investigation of these flows with Chaplygin's original method. The primary object of the paper is to present and analyze a few useful solutions of compressible potential flow with the exact gas law. These solutions include flows about convex corners which are the same type given by Kraft and Dibble. These flows belong to the same class as that of Ringleb, that is, they have a hodograph singularity at the origin. For this reason they are called generalized Ringleb flows. Furthermore, the exact solution of compressible flow through a particular contracting channel is given. This flow is characterized in the hodograph by a source corresponding to incoming velocity and a sink corresponding to throat velocity. The channel flow near the point of inflection of the boundary is given in detail.