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Phase-Lag-Induced Fluctuating Lift Forces on Two Tandem Bluff Bodies

[+] Author Affiliations
Md. Mahbub Alam, Ma Zhe

Harbin Institute of Technology, Shenzhen, China

Paper No. PVP2015-45128, pp. V004T04A017; 10 pages
doi:10.1115/PVP2015-45128
From:
  • ASME 2015 Pressure Vessels and Piping Conference
  • Volume 4: Fluid-Structure Interaction
  • Boston, Massachusetts, USA, July 19–23, 2015
  • Conference Sponsors: Pressure Vessels and Piping Division
  • ISBN: 978-0-7918-5697-0
  • Copyright © 2015 by ASME

abstract

A numerical simulation at a Reynolds number Re = 200 is conducted to find how flow-induced forces on two tandem circular cylinders is connected to the phase lag between vortex sheddings from the cylinders. The spacing ratio L* (= L/D) is varied from 2 to 9, where L is the cylinder center-to-center spacing and D is the cylinder diameter. Here we mainly focus on fluctuating lift coefficient CLf of the upstream cylinder, vortex dynamics in the gap between cylinders, and phase lag ϕ between the vortex sheddings from the two cylinders for L* larger than the critical where the co-shedding flow prevails. ϕ is indeed nonlinear function of L*, Strouhal number (St) and convection velocity of vortices in the gap between the cylinders. We unearth that the upstream cylinder CLf is affected by both L* and ϕ. While the contribution of L* to CLf diminishes rapidly with L*, that of ϕ makes the L*-dependent CLf variation damped-sinusoidal, persisting in the L* range examined. The inphase and antiphase flows respectively correspond to a local maximum and minimum CLf. How CLf is correlated with L* and ϕ can be deduced as,

Display Formula

CLf=Ae−αL*+Be−βL*sinϕ+π2+C,

where A, α, B, β and C are constants. The physics behind the damped-sinusoidal variation in CLf is discussed.

Copyright © 2015 by ASME

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