- 作者: 蔡三元; 石廷平
- 作者服務機構: 國立成功大學化學工程學系
- 中文摘要: 本文提出一種新的攝動法來研究旋轉盤在不可壓縮流體中產生之界面層流強迫對流時,流體的普蘭多數(Pr)對傳熱效應的影響。其法係利用坐標及參數(Pr-1/3)攝動決將原傳熱方程式化為常微分方程組,其解稱為通用函數,可用以求恆溫或非恆溫旋轉盤表面的傳熱速率及流體的溫度分佈曲線“
- 英文摘要: A general Perturbation method for the analysis of the effeet of Prandtlnumber on the steady state heat transfer aeross laminar,imcomPressibleboundary layer is proposed.The method is applied to the heat transfer ofa rotating disk with uniform surface temperature and with a step discon-tinuity in surface temperature·For isothermal ease,suitable transformationi,made such that the temperature distribution is expanded in terms of aPower series of Pr-1/3 and universal funetions.The zero一order solution isshown to be the Eighthill approximation·Comparison with numerical so-lutions andapproximate solutions in literature is examined.For Pr>=1 onlya few terms of the series are neeessary for the caleulation of temperaturedistribution and heat transfer rate.For non-isothermal ease,a eombinationof eoordinate and Parameter(Pr-1∕3)Perturbation is used to obtain seriessolution.The eoeffieients are also shown to be universal funetions,whiehare tabulated.
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