Stochastic models of ventilation driven by opposing wind and buoyancy
Stochastic models of ventilation driven by opposing wind and buoyancy
复制标题
由相反的风和浮力驱动的通风随机模型
DOI：
10.1098/rspa.2023.0170
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发表时间：
2023
期刊：
影响因子：
--
通讯作者：
Andrian V
中科院分区：
文献类型：
--
作者：
Andrian V
自然通风的经典模型的随机版本，提出和研究证明随机波动的稳定性和可预测性的影响。在随机背景下，众所周知的确定性结果，即由浮力和风的竞争效应驱动的通风允许多个稳态可能是误导的。由于浮力的波动与建模为维纳过程的外部环境交换，此类系统往往位于其势的全局最小值附近，而不是与亚稳态平衡相关的状态。对于一个加热的空间与背风低级别和迎风高级别的开放，持续的浮力驱动的流相反的风向是不可能的风强度超过一个统计临界值，这是略大于临界值的风强度在确定性系统中发生分叉。当所施加的风强度的波动被建模为一个Ornstein-Uhlenbeck过程，拓扑结构的系统的潜力是有效地修改由于非线性的作用，风强度的浮力守恒方程。因此，足够长时间的风的大波动排除了在大的基本风强度下与风向相反的持续通风的可能性。
Stochastic versions of a classical model for natural ventilation are proposed and investigated to demonstrate the effect of random fluctuations on stability and predictability. In a stochastic context, the well-known deterministic result that ventilation driven by the competing effects of buoyancy and wind admits multiple steady states can be misleading. With fluctuations in the buoyancy exchanged with an external environment modelled as a Wiener process, such systems tend to reside in the vicinity of global minima of their potential, rather than states associated with metastable equilibria. For a heated space with a leeward low-level and windward high-level opening, sustained buoyancy-driven flow opposing the wind direction is unlikely for wind strengths exceeding a statistically critical value, which is slightly larger than the critical value of the wind strength at which bifurcation in the deterministic system occurs. When fluctuations in the applied wind strength are modelled as an Ornstein–Uhlenbeck process, the topology of the system’s potential is effectively modified due to the nonlinear role that wind strength has in the equation for buoyancy conservation. Consequently, large fluctuations in the wind of sufficient duration rule out the possibility of sustained ventilation opposing the wind direction at large base wind strengths.
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影响因子：
7.4
作者：
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DOI：
--
发表时间：
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期刊：
影响因子：
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DOI：
--
发表时间：
1985
期刊：
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--
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影响因子：
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