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題 名 | 黏彈性流體在後向階梯流場之暫態混合對流 |
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作 者 | 許政行; 陳邦銓; | 書刊名 | 中原學報 |
卷 期 | 23:1 1995.01[民84.01] |
頁 次 | 頁15-25 |
分類號 | 440.137 |
關鍵詞 | 黏彈性流體; 後向階梯流場; 暫態混合對流; Viscoeldsticity; Backward facing stop; Transient mixed convection; |
語 文 | 中文(Chinese) |
中文摘要 | 本文研究二次黏彈性流體在後向階梯流場之暫態混合對流,以探討雷諾數、彈性係數及理查數對流場之流動及熱傳現象的綜合效應。本文使用的分析法為數值模擬,即應用有限差分法於渦度、流線及能量方程式上。相關的數值分析方法有點及線高斯一賽德法,鬆弛法及交互掃描法。結果顯示流場在階梯下游下平板形成一主迴流區,其範圈隨理查數增加而增加,隨彈性係數增加而縮小,且基本上,浮力及彈性會產生相反的效應。而主迴流區內渦度為正值而外圍主流層之渦度為負值,顯示兩區域內流體旋轉方向相反。熱邊界層隨時間增加,逐漸由下方的高溫平板向內部流場發展。下平板再附著點附近產生最大的溫度梯度,並且溫度分佈在靠近階梯及其高度範圍內有反曲之現象發生。當雷諾數等於75,理查數等於1,彈性係數等於0.001時,再附著長度有過激的現象產生。而雷諾數等於75之流場,會出現次迴流區,當彈性係數為0.0001及理查數等於1時,次迴流區在穩態流場中仍然存在。 |
英文摘要 | The transient mixed convection of the second grade viscoelastic fluid on the backward facing step is studied to explore the combined effects of the Reynolds number, elastic coefficient and Richardson number to the flow and heat transfer behavior. The analytic method used in the present study is numerical simulation. The finite difference method is applied to the vorticity, stream function and energy equations. The related numerical schemes are point and line Gauss-Seidel methods. successive over-relaxation method and alternating circulation zone is formed on the bottom plate and located at the downstream of the step. The range of the primary recirculation zone increase with Richardson number and decreases with elastic coefficient. Basically the buoyancy and elasticity have opposite influences on the flow field. The thickness of the thermal boundary layer is increasing with time and gradually developing from bottom heated plate into the flow field. The maximum wall temperature gradient is at the vicinity of the reattachment point. A reflex fluid temperature profile in the range near the step is also observed. The reattachment length has overshoot during the transient period when Richardson number is 1, elastic coeffcient is 0.001 and Reynolds number is 50 or 75. A secondary recirculation zone under the top plate is occurred when Reynolds number is 75. The zone exists at steady state when Richardson number is 1 and elastic coefficient is 0.001. |
本系統中英文摘要資訊取自各篇刊載內容。