Steady streaming around a circular cylinder near a plane boundary due to oscillatory flow

Hongwei An, Liang Cheng, Ming Zhao

    Research output: Contribution to journalArticle

    Abstract

    Steady streaming due to an oscillatory flow around a circular cylinder close to and sitting on a plane boundary is investigated numerically. Two-dimensional (2D) Reynolds-averaged Navier-Stokes equations are solved using a finite element method with a k-ω turbulent model. The flow direction is perpendicular to the axis of the cylinder. The steady streaming around a circular cylinder is investigated for Keulegan-Carpenter (KC) number of 2≤KC≤30 with a constant value of Stokes number (β) of 196. The gap (between the cylinder and the plane boundary) to diameter ratio (e/D) investigated is in the range of 0.0-3.0. The steady streaming structures and velocity distribution around the cylinder are analyzed in detail. It is found that the structures of steady streaming are closely correlated to KC regimes. The gap to diameter ratio (e/D) has a significant effect on the steady streaming structure when e/D<1.0. The magnitude of the steady streaming velocity around the cylinder can be up to about 70% of the velocity amplitude of the oscillatory flow. One three-dimensional (3D) simulation (KC=10, β=196, and e/D=∞) is carried out to examine the effect of three dimensionality of the flow on the steady streaming. Although strong 3D vortices are found around the cylinder, the steady streaming in a cross section of the cylinder span is in good agreement with the 2D results.
    Original languageEnglish
    Pages (from-to)23-33
    Number of pages11
    JournalJournal of Hydraulic Engineering
    Volume137
    Issue number1
    DOIs
    Publication statusPublished - 2011

    Keywords

    • hydrodynamics
    • numerical analysis

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