论文标题
浮力驱动的垂直Hele-shaw细胞中浮力驱动的能量光谱
Energy spectra of buoyancy-driven bubbly flow in a vertical Hele-Shaw cell
论文作者
论文摘要
我们介绍了Hele-Shaw设置中受浮力驱动的气泡流的直接数值模拟（DNS）研究。我们研究了流的光谱特性，并与实验进行了比较。从间隙平均速度字段获得的能量谱显示$ e（k）\ sim k $ for $ k <k_d $，$ e（k）\ sim k^{ - 5} $ for $ k> k_d $，以及带有$ e（k）\ sim k^{ - 3} $ k_ k_ sim $ k_ k_的中间缩放范围。我们执行能源预算分析以了解主要的平衡并解释观察到的缩放行为。我们还表明，具有线性阻力的Navier-Stokes方程可用于近似起泡的Hele-shaw流的大规模流量。
We present direct numerical simulations (DNS) study of confined buoyancy-driven bubbly flows in a Hele-Shaw setup. We investigate the spectral properties of the flow and make comparisons with experiments. The energy spectrum obtained from the gap-averaged velocity field shows $E(k) \sim k$ for $k < k_d$, $E(k) \sim k^{-5}$ for $k > k_d$, and an intermediate scaling range with $E(k) \sim k^{-3}$ around $k \sim k_d$. We perform an energy budget analysis to understand the dominant balances and explain the observed scaling behavior. We also show that the Navier-Stokes equation with a linear drag can be used to approximate large scale flow properties of bubbly Hele-Shaw flow.
