摘要
本文求得雙分散多孔介質內垂直截圓錐自然對流熱傳遞之非相似解，而且此一垂直截圓錐具有均勻壁溫。以雙速度與雙溫度模型導出邊界層統制方程式。經由適當之座標轉換求得非相似微分方程式，再以三次樣線配置法求解。研究相間熱傳參數、修正熱導率比、或滲透率比與熱傳與流動特性之關係。當雙分散多孔介質之修正熱導率比或滲透率比增大時，垂直截圓錐表面之自然對流熱傳率會隨之變大。而當雙分散多孔介質之相間熱傳參數減少時，兩相間之熱不平衡狀態會更為明顯。
關鍵詞：非相似解、自然對流、截圓錐、雙分散多孔介質
Abstract
This paper obtains the nonsimilar solutions for natural convection heat transfer about a vertical circular truncated cone in bidisperse porous media with constant wall temperature. The two-velocity two-temperature model is used to derive the boundary layer governing equations. Nonsimilar differential equations obtained by a suitable coordinate transformation are then solved by the spline collocation method. The relationship between the inter-phase heat transfer parameter, the modified thermal conductivity ratio, or the permeability ratio respectively with the heat transfer and flow characteristics has been studied. When the modified thermal conductivity ratio or the permeability ratio of the bidisperse porous media is increased, the natural convection heat transfer rate of the vertical circular truncated cone tends to increase. As the inter-phase heat transfer parameter of bidisperse porous media is decreased, the thermal non-equilibrium between the two phases becomes more significant.
Keywords: Nonsimilar Solutions, Natural Convection, Circular Truncated Cone, Bidisperse Porous Medium