论文标题
SPH对加热水平圆柱周围自然对流的建模:与实验的比较
SPH modeling of natural convection around a heated horizontal cylinder: A comparison with experiments
论文作者
论文摘要
进行了实验和数值平滑的颗粒流体动力学(SPH)分析,以用于由水平的,薄的圆柱热源引起的对流流,该圆柱热源包含在甘油充满的,细长的较细长的外壳中,低瑞利数字($ 1.18 \ leq {\ leq {\ rm rm ra}} \ leq 242 $)。实验和SPH计算均以正($ 0.1 \leqΔT\ leq 10 $ k)和负($ -10 \leqΔT\ leq -0.1 $ K)温度差异($ -10 \ 10 \leqΔt\ leq leq -leq -0.1 $ k)进行。在所有情况下,形成了一对稳定的,反向旋转的涡旋,并伴随着$ΔT> 0 $的源垂直上升流的羽流,而在源以$ΔT<0 $的速度下降的流量和垂直下降的流量。最大流速始终发生在上升/下降羽流中。发现SPH预测与$ \ sim 10^{ - 5} $ M S $ s $ s $^{ - 1} $的速度分析中的根平方错误相匹配。 SPH方法能够揭示流动现象的详细特征的事实证明了方法的正确性。
An experimental and numerical smoothed particle hydrodynamics (SPH) analysis was performed for the convective flow arising from a horizontal, thin cylindrical heat source enclosed in a glycerin-filled, slender enclosure at low Rayleigh numbers ($1.18\leq {\rm Ra}\leq 242$). Both the experiments and the SPH calculations were performed for positive ($0.1\leqΔT\leq 10$ K) and negative ($-10\leqΔT\leq -0.1$ K) temperature differences between the source and the surrounding fluid. In all cases a pair of steady, counter-rotating vortices is formed, accompanied by a plume of vertically ascending flow just above the source for $ΔT>0$ and a vertically descending flow just below the source for $ΔT<0$. The maximum flow velocities always occur within the ascending/descending plumes. The SPH predictions are found to match the experimental observations acceptably well with root-mean-square errors in the velocity profiles of the order of $\sim 10^{-5}$ m s$^{-1}$. The fact that the SPH method is able to reveal the detailed features of the flow phenomenon demonstrates the correctness of the approach.