On a boundary condition for pressure‐driven laminar flow of incompressible fluids
On a boundary condition for pressure‐driven laminar flow of incompressible fluids
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不可压缩流体压力驱动层流的边界条件
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
G. Carey
中科院分区：
文献类型：
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作者：
W. Barth;G. Carey
在定理1中，我们证明了不可压缩粘性流中嵌入表面的应力、压力、速度和平均曲率之间的新关系。然后用它来定义牛顿流体和广义牛顿流体流动的相应修正的压力边界条件。这些结果与流动物理学的直观概念一致，但显然以前并没有得到严格的证明。在这种情况下，我们描述了流入和流出边界的一些实现问题，并给出了相关切向速度约束的惩罚处理的细节。然后将其实施并应用于具有代表性的广义粘度模型的高分辨率3D基准计算。版权所有©2007 John Wiley&Sons，Ltd.
We prove in Theorem 1 a new relationship between the stress, pressure, velocity, and mean curvature for embedded surfaces in incompressible viscous flows. This is then used to define a corresponding modified pressure boundary condition for flow of Newtonian and generalized Newtonian fluids. These results agree with an intuitive notion of the flow physics but apparently have not previously been shown rigorously. We describe some of the implementation issues for inflow and outflow boundaries in this context and give details for a penalty treatment of the associated tangential velocity constraint. This is then implemented and applied in high‐resolution 3D benchmark calculations for a representative generalized viscosity model. Copyright © 2007 John Wiley & Sons, Ltd.