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題 名 | 不同高寬比之螺旋矩型管內曲率與撓率對熱傳之影響=The Curvature and Torsion Effect on Heat Transfer in Helical Rectangular Ducts with Different Aspect Ratios |
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作 者 | 張永鵬; 蔡瑞益; 黃錦文; 陳冠宇; | 書刊名 | 中原學報 |
卷 期 | 27:3 1999.09[民88.09] |
頁 次 | 頁39-56 |
分類號 | 335.21 |
關鍵詞 | 二次流; 溫度分佈; 納塞數比; Secondary flow; Aspect ratio; Nusselt number ratio; |
語 文 | 中文(Chinese) |
中文摘要 | 本文是利用Galerkin有限元素法所求得全展層流狀態下,不同高寬比之各螺旋矩 型管於不同曲率及撓率時之二次流變化,以進一步分析溫度分佈現象及對熱傳之影響;所使 用之統御方程式是採非正交螺旋座標系所推得者,高寬比是以 0.5、1.5、2.0 及 5.0 為例 。 經解析的結果, 在曲率、 撓率均低於 0.025、及高寬比小於 2.0 而軸向壓力梯度低於 -0.4 × 10 �簾伢贖蚺嬪G變化不大且較規則,幾不受撓率所影響, 但高寬比愈大時溫度分 佈會呈不規則變化甚至有熱不穩定( Thermal instability )現象; 此外,亦分析不同高 寬比時納塞數比 (Nu/Nu �� ) 與迪恩參數( K )及方型螺旋管之納塞數比 (Nu/Nu �� ) 與 (PrK �� ) �黤奶妞菑珍鰜Y, 進而導出不同高寬比時其納塞數比與迪恩參數及普朗得數 等之相關方程式。 |
英文摘要 | In this study, the Galerkin finite element method is applied to solve the governing equations, which are derived by non-orthogonal helical coordinate system for fully developed laminar flow in helical rectangular ducts with different aspect ratios. By the solution for the effect of curvature and torsion to the secondary flow, then we can use the energy equation to obtain the behavior of temperature distribution and the effect on heat transfer. The aspect ratios are 0.5, 1.5, 2.0 and 5.0, respectively. The changing of temperature distribution is not large, when curvature and torsion are smaller (Ex. ≦ 0.025), the aspect ratio is under 2.0, and the axial pressure gradients are lower than -0.4 × 10 ��. The temperature distribution is nearly not affected by torsion, but the aspect ratio is larger, the more irregular it will be. In this condition, the temperature field will be caused thermal instability phenomena. Moreover, we analyze the relationship of different Nusselt number ratio (Nu/Nu �� ) and Dean number (K) of different aspect ratios, and the relationship between (Nu/Nu �� ) and (PrK �� ) �� of square helical duct. Besides, we also derive the related equation of Nusselt number ratio and Prandtl number with Dean number under different aspect ratios. |
本系統中英文摘要資訊取自各篇刊載內容。