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題 名 | Bubble Stability and Homogeneous Nucleation (1)--Bubble Stability=均質成核與氣泡穩定性(1)--氣泡之穩定性 |
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作 者 | 張士傑; | 書刊名 | 明志工專學報 |
卷 期 | 27 1995.05[民84.05] |
頁 次 | 頁33-45 |
分類號 | 341.3453 |
關鍵詞 | 氣泡核; 穩定性; Nucleus; Stability; |
語 文 | 英文(English) |
中文摘要 | 本文主要在研究氣泡之穩定性,文中先以氣流邊界含有蒸發、凝結、氣體擴散現象等之熱傳與質傳為前提,藉雷利方程式模擬氣泡之邊界運動狀態。繼之將上式氣泡混合氣壓力以球積之相當換數函數置換。此項變數轉換使得二階非線性雷利微分方程降為一階之聯立微分方程。再繼之則以定性法求取解之特性,此定性法避開極為繁雜之遂點求取真解。研究結果顯示當氣泡在指數係數m>1/3之狀態時仍屬穩定平衡,而在m<1/3時將隨外加干擾急速成核或冷縮而呈現不穩定平衡。 |
英文摘要 | A bubble in a liquid with or without undissolved gas was studied in this paper. The pressure-volume relationship inside a bubble was derived and given as an exponential function with process index(m). vapor condensation, evaporation, and gas diffusion was taken into account in this derivation. By introducing the exponential function into the Rayleigh Equation, a second-order differential equation for the bubble’s wall motion was obtained and reduced to first order as an autonomous system. The whole family of solutions was studied by using the stability approach. This approach characterized various general properties of the solutions without actually solving the couple equations. The results show that when the process index m>1/3, the disturbed bubble at any equilibrium point will be stable. When m<1/3, the disturbed bubble at any equilibrium point will either grow exponentially during heating or decay exponentially during cooling. |
本系統中英文摘要資訊取自各篇刊載內容。