复杂分离流的表面摩擦拓扑重建

IF 2.9 3区 工程技术 Q2 ENGINEERING, MECHANICAL
Tianshu Liu
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引用次数: 0

摘要

本文提出了一种基于表面摩擦与表面压力之间的精确关系,通过边界熵通量(BEF)重建复杂分离流动中表面摩擦拓扑结构的理论方法。该方法的关键是采用变分法将表面压力场作为反问题重构表面摩擦场。针对实际应用,提出了近似方法,将基流表面压力场与表面压力变化场线性叠加得到复合表面压力场,并采用基流BEF场作为一阶近似。这种近似方法在数学意义上是建设性的,因为分离流中的复杂蒙皮摩擦场可以通过一些简单的表面压力结构的线性叠加,从一些基本的蒙皮摩擦结构(蒙皮摩擦源/汇、涡流及其组合)中重建出来。这种重构的结果自然产生了不同的拓扑特征,如临界点、分离线和附着线。作为例子,在模拟中重建了分离流中的一些元素蒙皮摩擦结构,并利用风洞实验中获得的压敏涂料(PSP)图像重建了激波/边界层相互作用(SWBLIs)中的蒙皮摩擦场。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Reconstruction of skin friction topology in complex separated flows
This paper describes a theoretical method for reconstruction of the skin friction topology in complex separated flows, which is developed based on the exact relation between skin friction and surface pressure through the boundary enstrophy flux (BEF). The key of this method is that a skin friction field is reconstructed from a surface pressure field as an inverse problem by applying a variational method. For applications, the approximate method is proposed, where the composite surface pressure field is given by a linear superposition of the base-flow surface pressure field and the surface pressure variation field and the base-flow BEF field is used as the first-order approximation. This approximate method is constructive in a mathematical sense since a complex skin friction field in separated flows can be reconstructed from some elemental skin friction structures (skin friction source/sink, vortex and their combinations) by a linear superposition of some simple surface pressure structures. The distinct topological features, such as critical points, separation lines and attachment lines, naturally occur as a result of such reconstruction. As examples, some elemental skin friction structures in separated flows are reconstructed in simulations, and the skin friction fields in shock-wave/boundary-layer interactions (SWBLIs) are reconstructed from pressure sensitive paint (PSP) images obtained in wind tunnel experiments.
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来源期刊
CiteScore
4.50
自引率
4.30%
发文量
35
审稿时长
11 weeks
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