Refined similarity hypotheses in shell models of homogeneous turbulence and turbulent convection
Publication in refereed journal

香港中文大學研究人員

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摘要A major challenge in turbulence research is to understand from first principles the origin of the anomalous scaling of velocity fluctuations in high-Reynolds-number turbulent flows. One important idea was proposed by Kolmogorov [J. Fluid Mech. 13, 82 (1962)], which attributes the anomaly to variations of the locally averaged energy dissipation rate. Kraichnan later pointed out [J. Fluid Mech. 62, 305 (1973)] that the locally averaged energy dissipation rate is not an inertial-range quantity and a proper inertial-range quantity would be the local energy transfer rate. As a result, Kraichnan's idea attributes the anomaly to variations of the local energy transfer rate. These ideas, generally known as refined similarity hypotheses, can also be extended to study the anomalous scaling of fluctuations of an active scalar, such as the temperature in turbulent convection. We examine the validity of these refined similarity hypotheses and their extensions to an active scalar in shell models of homogeneous turbulence and turbulent convection. We find that Kraichnan's refined similarity hypothesis and its extension are valid.
著者Ching ESC, Guo H, Lo TS
期刊名稱Physical Review E
出版年份2008
月份8
日期1
卷號78
期次2
出版社American Physical Society
國際標準期刊號1539-3755
電子國際標準期刊號1550-2376
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 2020-10-10 於 23:37