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題 名 | 磁場效應對轉動流體層的貝納-馬瑞勾尼對流振動模式不穩定性之影響=Effect of Magnetic Field on the Oscillatory Instability of B'enard-Marangoni Convection in a Rotating Fluid Layer |
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作 者 | 張福平; | 書刊名 | 樹德學報 |
卷 期 | 19 1997.03[民86.03] |
頁 次 | 頁35-58 |
分類號 | 446.1 |
關鍵詞 | 轉動; 磁場; 振動; 不穩定性; 表面變形; Rotation; Magnetic field; Oscillatory; Instability; Crispation; |
語 文 | 中文(Chinese) |
中文摘要 | 本文探討轉動與磁場效應對一具有可變形自由上表面之水平流體層的貝納-馬瑞勾 尼對流振動模式不穩定性之影響。文中所獲得特徵值問題將藉由四階郎奇 - 庫塔 - 基爾方 法來求解, 並使用布來德方法對整個疊代過程中的起始值加以修正。其結果顯示:轉動與磁 場效應會抑制對流情形發生,對整個系統的對流不穩定性而言,是一穩定性之因素。其自由 上表面之變形程度(即表面變形數,C )對貝納 - 馬瑞勾尼對流振動模式不穩定性有很明顯 地影響。整個系統之穩定現象隨著其自由上表面之參數:拜特數 Bi 值和布德數 Bo 值的增 加而更穩定。在(︱Mc︱,R)平面圖上,其臨界馬瑞勾尼數之絕對值︱Mc︱隨著雷利 數 R 值增加而減少,其穩定曲線呈線性關係。 |
英文摘要 | The effect of magnetic field on the onset of oscillatory mode of B'enard- Marangoni instability in a rotating fluid layer with a deformable upper free surface are investigated by numerical technique. The eigenvalue equations obtained from the analysis are solved by using the fourth order Runge-Kutta-Gill's method with the shooting technique and making use of the Broyden's method for correction of the starting values during the integration process. The results show that the effects of rotaition and magnetic field suppress the onset of convection and are clearly stabilizing factor to the system. The surface deformation (Crispation number C) at the upper free surface is a significant influence on the onset of oscillatory mode in the B'enard-Marangoni instability. The system becomes more stable when the Biot number Bi and the Bond number Bo of the upper free surface increase. The absolute value of critical Marangoni number ︱Mc︱ in the (︱Mc︱R) -plane decreases with increasing the Rayleigh number R linearly. |
本系統中英文摘要資訊取自各篇刊載內容。