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題 名 | Study of an Annular Thermoacoustic Prime Mover (Ⅰ)--Numerical Analysis=環狀熱聲原動機之研究(1)--數值分析 |
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作 者 | 林筱增; | 書刊名 | 中正嶺學報 |
卷 期 | 30:1 2001.10[民90.10] |
頁 次 | 頁27-36 |
分類號 | 447.11 |
關鍵詞 | 熱聲學; 環狀原動機; 邊界值問題; 射值法; Thermoacoustics; Annular prime mover; Boundary value problem; Shooting method; |
語 文 | 英文(English) |
中文摘要 | 本文提出對一具週期邊界條件環狀熱聲原動機之詳細數值分析研究。此研究之重點為發展出一套採用射值法為基礎的MATLAB分析程式,因此法對這類非線性邊界值問題為一較具系統性之方法。此程式經由DeltaE軟體[1-2]加以驗證,由研究結果得知,利用兩種方法求得環狀熱聲原動機之共振頻率、品質因數倒數及聲波模態曲線均相當吻合;兩方法對低頻模態之結果較高頻模態有較大的差異,在高溫度差時此現象更加明顯。但MATLAB程式之優點為可獲得平滑之聲波模態曲線及較易由複數特徵頻率求出品質因數。 |
英文摘要 | This paper constitutes the first detailed numerical investigation of a thermoacoustic prime mover with periodic boundary conditions. The significant aspect to this research is to develop a new analysis program using MATLAB. The program implements shooting method because it appears to be a systematic way to solve this kind of nonlinear boundary value problem. This program is validated by comparing its solution to that using DeltaE [1-2] for a simple case. The overall agreement of resonance frequencies and the reciprocal of quality factor from the two methods are excellent. The agreement of the mode shapes is good in general. However the agreement of the low frequency mode is not as goodas for the high frequency mode, particularly at high temperature difference. The reasons for this discrepancy at higher values of �掰 are not fully understood. The major advantages of the MATLAB program are the smooth mode shape curve and determination of the quality factor from the complex eigenfrequency. |
本系統中英文摘要資訊取自各篇刊載內容。