Polymer-induced change in scaling behavior in two-dimensional homogeneous turbulent thermal convection
Publication in refereed journal

香港中文大學研究人員

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摘要We study the effects of polymers in two dimensional turbulent thermal convection using a shell model. In the absence of polymers, the inverse energy cascade in two dimensions leads to the observed Bolgiano-Obukhov scaling. When polymers are added, energy is extracted from the flow by the polymers, and as a result, the thermal balance between buoyancy and inertia in Bolgiano-Obukhov scaling is destroyed around the scales at which polymers interact strongly with the flow. This results in an increase in the Bolgiano scale and leads to a change in the scaling behavior of the velocity and temperature fluctuations for scales below the modified Bolgiano scale. We make theoretical estimates of the dependence of the mean rate of energy extracted by the polymers and the mean energy dissipation rate on the polymer relaxation time. Our theoretical analysis further leads to the prediction that the heat transport is not altered much by the polymers in two dimensions. We show that our theoretical estimates and prediction are in good agreement with the numerical results.
著者Benzi R, Ching ESC, Wong CK
期刊名稱Physical Review E
出版年份2014
月份5
日期6
卷號89
期次5
出版社American Physical Society
國際標準期刊號2470-0045
電子國際標準期刊號2470-0053
語言英式英語
Web of Science 學科類別Physics; Physics, Fluids & Plasmas; PHYSICS, FLUIDS & PLASMAS; Physics, Mathematical; PHYSICS, MATHEMATICAL

上次更新時間 2020-17-10 於 00:03