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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Turbulent Prandtl number ： ウィキペディア英語版 Turbulent Prandtl number The turbulent Prandtl number (Prt) is a non-dimensional term defined as the ratio between the momentum eddy diffusivity and the heat transfer eddy diffusivity. It is useful for solving the heat transfer problem of turbulent boundary layer flows. The simplest model for Prt is the Reynolds analogy, which yields a turbulent Prandtl number of 1. From experimental data, Prt has an average value of 0.85, but ranges from 0.7 to 0.9 depending on the Prandtl number of the fluid in question. == Definition == The introduction of eddy diffusivity and subsequently the turbulent Prandtl number works as a way to define a simple relationship between the extra shear stress and heat flux that is present in turbulent flow. If the momentum and thermal eddy diffusivities are zero (no apparent turbulent shear stress and heat flux), then the turbulent flow equations reduce to the laminar equations. We can define the eddy diffusivities for momentum transfer $\backslash epsilon\_M$ and heat transfer $\backslash epsilon\_H$ as $-\backslash overline\; =\; \backslash epsilon\_M\; \backslash frac$ and $-\backslash overline\; =\; \backslash epsilon\_H\; \backslash frac$ where $-\backslash overline$ is the apparent turbulent shear stress and $-\backslash overline$ is the apparent turbulent heat flux. The turbulent Prandtl number is then defined as $\backslash mathrm\_\backslash mathrm\; =\; \backslash frac.$ The turbulent Prandtl number has been shown to not generally equal unity (e.g. Malhotra and Kang, 1984; Kays, 1994; McEligot and Taylor, 1996; and Churchill, 2002). It is a strong function of the moleculer Prandtl number amongst other parameters and the Reynolds Analogy is not applicable when the molecular Prandtl number differs significantly from unity as determined by Malhotra and Kang;〔Malhotra, Ashok, & KANG, S. S. 1984. Turbulent Prandtl number in circular pipes. Int. J. Heat and Mass Transfer, 27, 2158-2161〕 and elaborated by McEligot and Taylor〔McEligot, D. M. & Taylor, M. F. 1996, The turbulent Prandtl number in the near-wall region for Low-Prandtl-number gas mixtures. Int. J. Heat Mass Transfer., 39, pp 1287--1295〕 and Churchill 〔Churchill, S. W. 2002; A Reinterpretation of the Turbulent Prandtl Number. Ind. Eng. Chem. Res. , 41, 6393-6401. CLAPP, R. M. 1961.〕 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Turbulent Prandtl number」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.