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arXiv · 2012.10572

Oblique Injection of incompressible ideal fluid from a slot into a free stream

Jianfeng Cheng·Lili Du
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Abstract

This paper deals with a two-phase fluid free boundary problem in a slot-film cooling. We give two well-posedness results on the existence and uniqueness of the incompressible inviscid two-phase fluid with a jump relation on free interface. The problem formulates the oblique injection of an incompressible ideal fluid from a slot into a free stream. From the mathematical point of view, this work is motivated by the pioneer work [13] by A. Friedman, in which some well-posedness results are obtained in some special case. Furthermore, A. Friedman proposed an open problem in [14] on the existence and uniqueness of the injection flow problem for more general case. The main results in this paper solve the open problem and establish the well-posedness results on the physical problem.

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Jianfeng Cheng, Lili Du. 2020-12-19. Oblique Injection of incompressible ideal fluid from a slot into a free stream. https://arxiv.org/abs/2012.10572

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