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題名 | 具磁場之自然對流流場熱流特性及渦漩不穩定性之探討=The Study of Thermal-Hydraulic Characteristics and Vortex Instability on the Natural Convection Flow with Transverse Magnetic Field |
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作者 | 呂金生; | 書刊名 | 航空技術學院學報 |
卷期 | 5:1 民95.08 |
頁次 | 頁39-47 |
分類號 | 440.137 |
關鍵詞 | 磁液動; 渦漩不穩定; 自然對流; MHD; Vortex instability; Natural convection; |
語文 | 中文(Chinese) |
中文摘要 | 本文以理論方法探討在一傾斜等溫加熱平板的自然對流流場,磁液動效應對其渦漩不穩定性的影響。基本流場部分利用相似轉換理論,同時考慮傾斜角度及磁場強度兩個參數,利用有限差分法(Keller Box method)求解。擾動流場利用線性穩定理論,採用非平行擾動模式及局部相似假設推導出擾動流場的特徵值常微分方程組,數值方法使用朗吉─庫塔法(Runge-Kutta method)搭配葛蘭─史密德(Gram-Schmidt)正交法求解。 數值結果顯示當平板存在一外加橫向磁場時,會明顯阻礙流場的對流情況,導致流場熱傳率的降低及增厚邊界層厚度。而傾斜角度則會增強流場的自然對流,增強速度場及熱傳率。在渦漩不穩定性方面,磁場的存在會使平板自然對流流場趨於不穩定,磁場參數M越大,流場渦漩不穩定的情況越明顯。 |
英文摘要 | The present investigation is performed to study analytically the MHD effect on the vortex instability of natural convection flow over inclined, upward-facing heated surfaces. In the main flow analysis, due to both the effects of inclination and magnetic field are considered, the new nonsimilarity parameters are then suggested. The resulting equations are solved by Keller-Box method. In the disturbance flow, linear stability theory incorporated with non-parallel flow model is used. A system of ordinary differential equations is solved by Runge-Kutta integration scheme in conjunction with Gram-Schmidt orthogonalization procedure. The results show that the imposed transverse magnetic field retards the velocity field and yields to a lower heat transfer rate and thicker thermal boundary layer thickness. In addition, the increase of inclination angle enhances the convection strength of flow. In the disturbance flow, the existence of magnetic filed destabilizes the fluid flow. The larger of magnetic field parameter M is, the more unstable of the main flow to the vortex mode of instability trends to be. |
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