Flow pattern analysis of linear gradient flow distribution  

作　　者：Da-ming LI Xiao-yu LI Yan-qing LI R.J.FARAHANI 

机构地区：[1]School of Civil Engineering & Key Laboratory of Harbor & Ocean Engineering Ministry of Education, Tianjin University [2]Civil and Environmental Engineering, Johns Hopkins University [3]Civil Engineering, The University of Adelaide

出　　处：《Applied Mathematics and Mechanics(English Edition)》2015年第1期81-106,共26页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science foundation of China(No.51079095);the Science Fund for Creative Research Groups of the National Natural Science Foundation of China(No.51021004)

摘　　要：This paper uses the Oseen transformation to solve the differential equations governing motion of the vertical linear gradient flow distribution close to a wall surface. The Navier-Stokes equations are used to consider the inertia term along the flow direction. A novel contour integral method is used to solve the complex Airy function. The boundary conditions of linear gradient flow distribution for finite problems are determined. The vorticity function, the pressure function, and the turbulent velocity profiles are provided, and the stability of particle trajectories is studied. An Lx-function form of the third derivative circulation is used to to simplify the solution. Theoretical results are compared with the experimental measurements with satisfactory agreement.This paper uses the Oseen transformation to solve the differential equations governing motion of the vertical linear gradient flow distribution close to a wall surface. The Navier-Stokes equations are used to consider the inertia term along the flow direction. A novel contour integral method is used to solve the complex Airy function. The boundary conditions of linear gradient flow distribution for finite problems are determined. The vorticity function, the pressure function, and the turbulent velocity profiles are provided, and the stability of particle trajectories is studied. An Lx-function form of the third derivative circulation is used to to simplify the solution. Theoretical results are compared with the experimental measurements with satisfactory agreement.

关 键 词：linear gradient distribution flow contour integral stability analysis Airyfunction Oseen transformation 

分 类 号：O35[理学—流体力学]