Viscoplastic flow in a pipe of complex cross section with stick–slip at the wall
Viscoplastic flow in a pipe of complex cross section with stick–slip at the wall
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具有壁面粘滑现象的复杂截面管道中的粘塑性流动
DOI：
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发表时间：
2021
期刊：
影响因子：
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通讯作者：
L. Muravleva
中科院分区：
文献类型：
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作者：
L. Muravleva
本文研究了具有屈服滑移条件的宾汉流体的Poillille流动。采用加速增广拉格朗日方法求解粘塑性模型和屈服滑移方程的控制方程。我们数值求解了不同截面的管道中的流动：等边三角形和等腰三角形，L形和沙漏形。研究了粘塑性和滑移对流动的综合影响。研究了未屈服区的演变。计算涵盖了两个主要的无量纲数的全部范围，并表现出复杂的流动模式：所有不同的流态被确定在各种横截面的管道。
The Poiseuille flow of a Bingham fluid with the yield slip condition at the wall is examined. The governing equations are solved employing the accelerated augmented Lagrangian method for both the viscoplastic model and the yield slip equation. We solve numerically the flow in pipes with different cross sections: equilateral and isosceles triangles, L-shape, and hourglass-shape. The combined effects of viscoplasticity and slip on the flow have been investigated. The evolution of the unyielded regions has been studied. The computations cover the full range of the two main dimensionless numbers and exhibit complex flow patterns: all the different flow regimes are identified in ducts of various cross sections.