Theoretical Studies On the Flow Through Nozzles And Related Problems

Cover Theoretical Studies On the Flow Through Nozzles And Related Problems
Theoretical Studies On the Flow Through Nozzles And Related Problems
Richard Courant
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.^LU i^^itjf ^*- ^ • -II- for ejecting a supersonic Jet, but for receiving a parallel flow of gas at high supersonic speed in order to compress and arrest the incoming gas» More specifically, the contents of the present report can be summarized as follows; Part I contains a three-dimensional treatment of flow through nozzles as a refinement of the customary one -dimensional theory, under the following ass\iraptions: 1) The fluid is ideal and homogeneous, and the flow isentropic, steady and irro...tational. 2) Viscosity and heat conduction are ignored. 3) It is further assumed that shocks and jet detachment do not occur in the nozzle; however, conditions for the absence of these phenomena are analyzed* A simple formula for the thrust produced by such a flow through a nozzle is derived and applied to various types of contours; particular emphasis is given to widely divergent short nozzles. Among families of nozzles yield- ing the same thrust, the shortest nozzle is determined. Tables I to III at the end of Part I (p.

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