The upper-bound limit of Stokes-Wang solution for oscillatory flow around a circular cylinder

Chengjiao Ren, Liang Cheng, Tingguo Chen

Research output: Chapter in Book/Conference paperConference paperpeer-review


Oscillatory flow past a circular cylinder is abundant in practical applications. The flow is dependent on both Reynolds (Re) and Keulegan-Carpenter (KC) numbers. Wang [1] developed an analytical solution of flow through the method of inner and outer expansions and stated that the solution is only applicable for KC << 1, piRe/2KC >> 1 and ReKC/2pi << 1. The conclusions drawn from existing studies on the exact applicable KC and Re ranges of the solution are inconclusive and sometimes controversial. The present study numerically investigates this issue based on a spectral element method. We found that (i) Wang’s solution differs from the numerical results by less than 5% for KC < 1 over a wide range of Stokes number (beta= Re/KC) from 100 to 20950 and (ii) the condition of ReKC/2pi<< 1 is excessively stricter than necessarily required. The development of flow separation, rather than three-dimensional (3-D) effect speculated by previous publications, is identified as the major cause for the large difference (> 5%) between Wang’s solution and the numerical results.
Original languageEnglish
Title of host publication Proceedings of the 22nd Australasian Fluid Mechanics Conference AFMC2020
EditorsHubert Chanson, Richard Brown
Place of PublicationAustralia
PublisherAustralasian Fluid Mechanics Society
ISBN (Electronic)9781742723419
ISBN (Print)9781742723419
Publication statusPublished - Dec 2020
Event 22nd Australasian Fluid Mechanics Conference - Brisbane, Australia
Duration: 7 Dec 202010 Dec 2020

Publication series

Name22nd Australasian Fluid Mechanics Conference, AFMC 2020


Conference 22nd Australasian Fluid Mechanics Conference
Abbreviated titleAFMC2020


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