Mean temperature profiles in turbulent thermal convection
Publication in refereed journal

香港中文大學研究人員
替代計量分析
.

其它資訊
摘要To predict the mean temperature profiles in turbulent thermal convection, the thermal boundary layer (BL) equation including the effects of fluctuations has to be solved. In Shishkina et al. [Phys. Rev. Lett. 114, 114302 (2015)], the thermal BL equation with the fluctuations taken into account as an eddy thermal diffusivity has been solved for large Prandtl-number fluids for which the eddy thermal diffusivity and the velocity field can be approximated, respectively, as a cubic and a linear function of the distance from the plate. In the present work, we make use of the idea of Prandtl's mixing length model and relate the eddy thermal diffusivity to the stream function. With this proposed relation, we can solve the thermal BL equation and obtain a closed-form expression for the dimensionless mean temperature profile in terms of two independent parameters for fluids with a general Prandtl number. With a proper choice of the parameters, our predictions of the temperature profiles are in excellent agreement with the results of our direct numerical simulations for a wide range of Prandtl numbers from 0.01 to 2547.9 and Rayleigh numbers from 10(7) to 10(9).
著者Olga Shishkina, Susanne Horn, Mohammad S. Emran, Emily S. C. Ching
期刊名稱Physical Review Fluids
出版年份2017
月份11
日期15
卷號2
期次11
出版社AMER PHYSICAL SOC
頁次113502
國際標準期刊號2469-990X
語言英式英語
Web of Science 學科類別Physics, Fluids & Plasmas;Physics

上次更新時間 2020-21-10 於 01:21