Injection of ideal fluid from a slot into a free stream |
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Authors: | Avner Friedman |
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Institution: | (1) Purdue University, Lafayette, Indiana |
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Abstract: | A cold gas is injected from a slot into a free stream of hot gas. In a simple model this leads to a two-fluid free boundary problem with the jump relation |u-|2–|u+|2 = ( constant) on the free boundary {u=0}, where u is the stream function. We prove that for any (–1, ) there exists a unique solution (Q, u) where Q is the flux of the injected fluid. Various properties of the solution u and of the free boundary are established. |
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