二維矩形空間具部份加熱壁面及冷壁面之自然對流數值分析

Numerical Analysis of Natural Convetion in a Two-Dimensional Retangular Enclosures with Partial Heated and Cool Walls

莊書豪(Shu-Hao Chuang) ； 賴文弘(Wen-Hung Lai) ； 江俊顯(Chun-Hsien Chiang) ； 郭宏賓(Hung-Pin Kuo)

《機械技師學刊》 7卷3期 (2014/11) Pp. 14-22

https://doi.org/10.6208/JPME-2014-11-03

摘要

本文研究密閉空間具部分加熱壁面之對流熱傳現象，數值方法採用塊狀線高斯－賽德法計算在二維矩形空間具共部分加熱壁面自然對流問題，其中矩形空間高寬比AR數範圍為0.5~1.5，而Ra數範因為10^3~10^6。加熱區域分為單一區域加熱及兩域加熱，其中加熱區域壁面及冷壁面的無因次溫度為1.0及0。暫態流線－渦度及能量三個偏微分方程式則以藕合方式同時計算以求得穩態的解。計算結果顯示在較高的Ra數、AR數及加熱區位於側壁面時，矩形空間內的流場渦流強度較大，而熱傳率在高AR數時較小。

關鍵字

自然對流 ； 二維矩形空間 ； 高斯－賽德法 ； 部分加熱面 ； Ra數

並列摘要

A study of this paper is that the natural convention phenomena in a two-dimensional rectangular enclosures with partial heated and cool walls. The numerical method is used a block-line of Gauss-Seidel method to calculate the natural convention problems in a two-dimensional rectangular enclosures with partial heated and cool walls. The content of aspect ration (AR) is 0.5~1.5, and the Rayleigh number (Ra) is 10^3~10^6 when AR is smaller. , The heated gone had a single and double region, where the dimensional temperature of heated or cool wall are 1.0 and 0. The steady solution had obtained by the simultaneous stream line, vortex and energy equations. From the calculated results, it shown that the vortex flow strength is larger when the larger Ra number AR, and the heated region on the side wall. The heat transfer efficient had increased when AR is smaller.

並列關鍵字

natural convection ； two-dimensional rectangular enclosure ； Gauss-Seidel method ； partial heated wall ； Re number