A two-dimensional-three-component model for spanwise rotating plane Poiseuille flow

Zhang, Shengqi1; Xia, Zhenhua2; Shi, Yipeng1; Chen, Shiyi1,2,3

2019-12-10

10.1017/jfm.2019.715

JOURNAL OF FLUID MECHANICS   影响因子和分区

0022-1120

1469-7645

Spanwise rotating plane Poiseuille flow (RPPF) is one of the canonical flow problems to study the effect of system rotation on wall-bounded shear flows and has been studied a lot in the past. In the present work, a two-dimensional-three-component (2D/3C) model for RPPF is introduced and it is shown that the present model is equivalent to a thermal convection problem with unit Prandtl number. For low Reynolds number cases, the model can be used to study the stability behaviour of the roll cells. It is found that the neutral stability curves, critical eigensolutions and critical streamfunctions of RPPF at different rotation numbers (Ro) almost collapse with the help of a rescaling with a newly defined Rayleigh number Ra and channel height H. Analytic expressions for the critical Reynolds number and critical wavenumber at different Ro can be obtained. For a turbulent state with high Reynolds number, the 2D/3C model for RPPF is self-sustained even without extra excitations. Simulation results also show that the profiles of mean streamwise velocity and Reynolds shear stress from the 2D/3C model share the same linear laws as the fully three-dimensional cases, although differences on the intercepts can be observed. The contours of streamwise velocity fluctuations behave like plumes in the linear law region. We also provide an explanation to the linear mean velocity profiles observed at high rotation numbers.

rotating turbulence plumes/thermals

SCI ; EI

英语

通讯

National Science Foundation of China (NSFC)[11822208] ; National Science Foundation of China (NSFC)[11772297]

Mechanics ; Physics

Mechanics ; Physics, Fluids & Plasmas

WOS:000506235800017

CAMBRIDGE UNIV PRESS

ENGINEERING

Web of Science

1.Peking Univ, State Key Lab Turbulence & Complex Syst, Beijing 100871, Peoples R China
2.Zhejiang Univ, Dept Engn Mech, Hangzhou 310027, Peoples R China
3.Southern Univ Sci & Technol, Dept Mech & Aerosp Engn, Shenzhen 518055, Peoples R China

Zhang, Shengqi,Xia, Zhenhua,Shi, Yipeng,et al. A two-dimensional-three-component model for spanwise rotating plane Poiseuille flow[J]. JOURNAL OF FLUID MECHANICS,2019,880:478-496.

Zhang, Shengqi,Xia, Zhenhua,Shi, Yipeng,&Chen, Shiyi.(2019).A two-dimensional-three-component model for spanwise rotating plane Poiseuille flow.JOURNAL OF FLUID MECHANICS,880,478-496.

Zhang, Shengqi,et al."A two-dimensional-three-component model for spanwise rotating plane Poiseuille flow".JOURNAL OF FLUID MECHANICS 880(2019):478-496.