- 作者: 蔡三元; 石延平
- 作者服務機構: 國立成功大學化工系
- 中文摘要: 本文係以攝動決研究不可壓縮界面層流流經恆溫或非恆溫楔形體時,普蘭多數(Pr》對傳熱效應的影響。將傳熱方程式利用坐標攝動法變換後,假設溫度函數為Pr-1/3階次及坐標的級數展開式,代入方程式中提出同階係數,而得通用函數的聯立微分方程組。此等通用函數和普蘭多數及楔形角度無關,解答後可用以計算流體的溫度分佈情形及楔形體表面的傳熱速率。
- 英文摘要: The effect of Prandtl number on the steady heat transfer in the incom-pressible laminar boundary layer flow over wedges with isothermal surfaceand with a step discontinuity in surface temperature is studied by pertur-bation method. For isothermal surface, parameter perturbation solutionwith Pr -1/3,parameter is use to calculate the temperature distribution."The coefficients of the powers of Pr -1/3 are independent of Prandtl number.Further transformation makes them into universal functions which areindependent on Prandtl number and wedge angle, and are solved in closedform. For nonisothermal surface temperature, the perturbation solution ofChao and Cheema〔1〕is rearranged to demonstrate the effect of Prandtlnumber. The perturbation solutions are valid for Pr〉1.Convergenceis rapid for moderate or large Prandtl number.
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