• 作者： Shih, Yen-Ping; Huang, Chung-Ching; Chen, Yuh-Shenget al.
• 中文摘要： 本文研究具有管壁滑動現象的非牛頓倍律流體在圓管熱進口區短軸距內的層流熱傳問題,管壁上的熱邊界條件包括恆定溫度及恆定熱通量兩種。文中使用坐標攝動法利用軸向坐標將正規化後的溫度護數展開成冪次級數的型式。對管壁恆定溫度而言,級數的零階解即為Leveque解。對管壁恆定熱通量而言,零階解為零,第一階解為Leveque解。 Graetz數與局部Nusselt數的關係以數值解表示,並以滑動參數和Brinkman數作為參數加以討論。同時文中亦探討冪次級數的收斂性。由管壁滑動對熱量傳遞的影響可以發現,滑動參數的增加將使局部Nusselt數明顯地增大。然而,Brinkman數對熱量傳遞的影響,尤其在高Graetz數是不明顯的。
• 英文摘要： The entrance heat transfer problem for the laminar flow of power-law non-Newtonian fluids in pipes for short axial distance with a wall slip, was investigated for those cases involving constant wall temperature and constant wall heat flux. A coordinate perturbation method was employed. The normalized temperature was expanded as a power series of the transformed axial coordinate. The zero-order solution for the constant wall temperature was the Leveque solution. The zero-order solution for the constant wall flux was however, identically zero; meanwhile the first-order solution is the Leveque solution. Numerical solutions were provided with the slip parameter and Brinkman number as parameters to illustrate the relation of the Graetz number to the local Nusselt number. The convergence of the power series was also discussed. The wall slip effect upon the heat transfer is that a significant increase of the local Nusselt number occurred as a result of an increase of the slip parameter. The effect of Brinkman number was, however, observed to be less important especially for a high Graetz number.
• 中文關鍵字： 非牛頓流體; 對流熱傳遞; 管壁滑動; Graetz問題; 擾動解
• 英文關鍵字： Non-Newtonian Fluid; Convective Heat Transfer; Wall Slip; Graetz Problem; Perturbation Solution