期刊
JOURNAL OF FLUID MECHANICS
卷 742, 期 -, 页码 520-551出版社
CAMBRIDGE UNIV PRESS
DOI: 10.1017/jfm.2013.686
关键词
transition to turbulence; viscoelasticity
资金
- EPSRC [EP/H050507/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/H050507/1, EP/J501347/1] Funding Source: researchfish
The combined effect of inertia and elasticity on streak amplification in planar Couette flow of an Oldroyd-B fluid is examined. The linear perturbation equations are solved in the form of a forced-response problem to obtain the wall-normal vorticity response to a decaying streamwise vortex. With significant disparity between the solvent diffusion and polymer relaxation time scales, two distinct responses are possible. The first is termed 'quasi-Newtonian' because the streak evolution collapses onto the Newtonian behaviour at the same total and solvent Reynolds numbers when relaxation is very fast or slow, respectively. The second response is labelled 'elastic': with a long relaxation time, the streaks can reach significant amplitudes even with very weak inertia. If the diffusion and relaxation time scales are commensurate, the streaks are able to re-energize in a periodic cycle within an envelope of overall decay. This behaviour is enhanced in the instantaneously elastic limit, where the governing equation reduces to a forced wave equation. The streak re-energization is demonstrated to be a superposition of trapped vorticity waves.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据