论文标题
从插槽中倾斜注入不可压缩的理想流体到自由流
Oblique Injection of incompressible ideal fluid from a slot into a free stream
论文作者
论文摘要
本文涉及插槽 - 影片冷却中的两阶段无效边界问题。我们给出了两种良好的结果，就不可压缩的双相流体的存在和独特性，在自由接口上有跳跃关系。该问题将从插槽中倾斜注入不可压缩的理想流体到自由流。从数学的角度来看，这项工作是由A. Friedman的先驱工作[13]激发的，其中在某些特殊情况下获得了一些适合的结果。此外，A。Friedman在[14]中提出了一个关于注射流问题的存在和独特性的开放问题。本文的主要结果解决了开放问题，并在物理问题上建立了良好的结果。
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.
