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題 名 | Onset of B'enard-marangoni Convective Instability of Arrhenius Fluid in a Fluid-solid System under Coriolis Force=柯氏力下流體--固體層系統中Arrhenius型態之流體的B'enard-marangoni起始對流不穩定分析 |
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作 者 | 張福平; 江可達; 周忠志; 楊政憲; | 書刊名 | 逢甲學報 |
卷 期 | 38 2000.12[民89.12] |
頁 次 | 頁123-142 |
分類號 | 440.137 |
關鍵詞 | 貝納-馬瑞勾尼; 線性穩定性分析; Linear; Stability; Arrhenius; Benard-marangoni; |
語 文 | 英文(English) |
中文摘要 | 本論文主要在探討受制於轉動系統下,水平流體層置顧固體層的貝納-馬瑞勾尼對流(B'enard-Marangoni convection)之線性穩定性分析。固體層之底部受制於固定熱通量,而自由上表面則是不變形且受制於一般熱條件。穩定性交換原理(the principle of exchange of stability)及包氏假設(Boussinesq approximation)將統禦方程式化成一組特徵值問題,藉由數值射擊方法(Runge-Kutta-Gill's Shooting method)解得特徵值解。結果顯示,當流體層與固體層的厚度比值dr(thickness ratio)、熱傳比值kr(conductivity ratio)、拜爾數Bi(Biot number)和泰勒數Ta(Taylor number)較大的時候,流體層趨向更穩定狀態。 |
英文摘要 | Linear stability analysis of the B'enard-Marangoni problem in a horizontal fluid layer, overlying a solid layer, in a rotating sysem is considered. The lower boundary is subject to a fixed heat flux, while the free upper surface is non-deformable and is fixed with a generalized thermal condition. The Boussinesq's approximation is assumed and the principle of exchange of stability is applied. The characteristic problem is solved numerically by using the Runge-Kutta-Gill's shooting method. The results show that the system becomes more stabilizing for larger values of the thickness ratio dr, the conductivity ratio kr, the Biot number Bi and the Taylor number Ta. |
本系統中英文摘要資訊取自各篇刊載內容。