基于改进的Prandtl-van Driest混合长度的湍流Poiseuille流动模型  

Turbulent Poiseuille flow modeling by modified Prandtl-van Driest mixing length

作　　者：孙博华 Bo-Hua Sun(School of Civil Engineering&Institute of Mechanics and Technology,Xi’an University of Architecture and Technology,Xi’an,710055,China)

机构地区：[1]School of Civil Engineering&Institute of Mechanics and Technology,Xi’an University of Architecture and Technology,Xi’an,710055,China

出　　处：《Acta Mechanica Sinica》2023年第4期176-183,共8页力学学报（英文版）

基　　金：supported by Xi’an University of Architecture and Technology(Grant No.002/2040221134).

摘　　要：两个平行板之间的湍流Poiseuille流是最简单的物理情况之一,此问题已经被深入的研究.本文提出了一种改进的Prandtl-van Driest混合长度模型,本模型同时满足边界条件和壁面阻尼效应.使用我们的新公式,我们可以求得问题的数值解,此外,本文还提出了平均速度的近似解析解.作为我们解决方案的应用,推导了湍流Poiseuille流的近似解析摩擦系数.The turbulent Poiseuille flow between two parallel plates is one of the simplest possible physical situations,and it has been studied intensively.In this paper,we propose a modified Prandtl-van Driest mixing length that satisfies both boundary conditions and wall damping effects.With our new formulations,we numerically solve the problem and,moreover,propose an approximate analytical solution of mean velocity.As applications of our solution,an approximate analytical friction coefficient of turbulent Poiseuille flow is proposed.

关 键 词：POISEUILLE流 混合长度 平行板 近似解析解 阻尼效应 数值解 平均速度 边界条件 

分 类 号：O35[理学—流体力学]