臺灣博碩士論文加值系統

本研究主要使用模擬的方式分析影響渦流管冷卻性能的無因次參數，首先量測渦流管的基本性能，再透過有限元素分析軟體COMSOL6.1對其進行穩態流場數值模擬的分析，以達到溫度可視化並量測出相關的無因次參數。本研究針對渦流管進行速度的變化，並改變其幾何參數，與原先模型進行出口溫度之比對。接著利用田口方法，將入口速度、入口數目、長寬比、入口角度等因子進行分析，找出其對於普朗特數、雷諾數等無因次數之最佳化的組合。
經模擬結果得知，增加雷諾數、入口數目、並縮短熱端直徑時，能明顯降低渦流管冷端出口溫度。且空氣由切線方向進入渦流管內時，能產生最低溫度。
經田口分析結果表明，在冷端出口溫度望小與出口雷諾數望大研究中，最佳結果為雷諾數14041、入口數目6個、熱端長寬比3.476及入口角度85度。且增加入口數目與雷諾數時，最能有效降低冷風出口的溫度以及增加冷風出口的雷諾數。

This study primarily employs a simulation approach to analyze the dimensionless numbers that affect the cooling performance of a vortex tube. Firstly, the basic performance of the vortex tube is measured, followed by numerical simulations of the steady-state flow field using the finite element analysis software COMSOL 6.1. This aims to achieve temperature visualization and measure the relevant dimensionless numbers. The study focuses on variations in the velocity of the vortex tube and changes in its geometric parameters, comparing them with the original model in terms of outlet temperature. Subsequently, the Taguchi method is utilized to analyze factors such as inlet velocity, inlet count, aspect ratio, and inlet angle, in order to identify the optimal combination for dimensionless numbers like the Prandtl number and Reynolds number.
Based on the simulated results, it has been found that increasing the Reynolds number, the number of inlets, and reducing the diameter of the hot end can significantly decrease the outlet temperature of the vortex tube at the cold end. Moreover, when the air enters the vortex tube from the tangential direction, the lowest temperature can be generated.
The results of Taniguchi's analysis indicate that in the study aiming for a lower outlet temperature at the cold end and a higher outlet Reynolds number with respect to the inlet conditions, the optimal parameters are a Reynolds number of 14041, 6 inlet ports, a hot end aspect ratio of 3.476, and an inlet angle of 85 degrees. Furthermore, as the number of inlet ports and Reynolds number are increased, it effectively reduces the outlet temperature of the cold air and increases the outlet Reynolds number.

中文摘要 i
Abstract ii
致謝 iv
目錄 v
表目錄 viii
圖目錄 ix
第一章 緒論 1
1.1 研究動機與目的 1
1.2 文獻回顧 2
1.3 研究方法及步驟 7
第二章 研究理論及方法 8
2.1渦流管介紹 8
2.1.1渦流管特點 8
2.1.2渦流管應用 9
2.2 渦流管參數定義 10
2.2.1 冷質量分數 10
2.2.2 下降溫度 10
2.2.3 熱端長寬比 10
2.2.4 性能指數 11
2.3 CFD計算流體力學 12
2.4 紊流模型 13
2.4.1 標準 k-ε 模型 13
2.4.2 k-ω 模型 13
2.4.3 SST 模型 14
2.4.4 Spalart-Allmaras 模型 14
2.4.5 V2-F 模型 14
2.5 有限元素法 15
2.6 田口方法 16
2.6.1 田口方法步驟 16
2.6.2 田口直交表 17
2.6.3 三水準直交表建構 18
2.6.4雜訊比 19
2.6.5變異數分析 20
2.7無因次數 22
第三章 研究設計 24
3.1 渦流管 24
3.2 資料搜集器 25
3.3 有限元素分析軟體 26
3.3.1 COMSOL建立模形及設定 26
第四章 結果與討論 31
4.1 模擬分析結果 31
4.1.1 入口風速之影響 32
4.1.2 入口數目之影響 35
4.1.3 熱端長寬比之影響 37
4.1.4 入口角度之影響 39
4.2 田口方法模擬分析 41
4.2.1以L8直交表分析 41
4.2.2以L9直交表分析 47
第五章 結論與未來展望 53
5.1結論 53
5.2未來展望 53
參考文獻 54

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