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Transitions between the multiple steady states in a natural ventilation system with combined buoyancy and wind driven flows

机译：结合了浮力和风驱动的自然通风系统中多个稳态之间的过渡

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摘要

Natural ventilation systems may have multiple steady states in the combined buoyancy and wind driven mode due to the nonlinearity of the systems. Previous studies have shown that some of the steady states are locally stable for small disturbances. However, the system can flip over from one stable steady state to another under sufficiently strong perturbations. In this paper, the mechanism of such state transitions is quantitatively investigated by a dynamical system approach. The transition dynamics between the stable steady states is examined by the system's responses to two types of perturbations—heat source fluctuations and wind variations. Two important parameters—the minimum perturbation magnitude and the minimum perturbation time to switch from one stable steady state to another—are defined to describe the transition requirements. The result from a previous experimental study was discussed and explained by these state transition behaviors. The transition dynamics between two stable steady states under perturbations are found important to the robustness of the stable steady states, which can be quantitatively described by the minimum perturbation time and the minimum perturbation magnitude. The experimental and numerical simulation results from another existing study are successfully explained by these two parameters. The applications of the developed perturbation method are further discussed.
机译：由于系统的非线性，自然通风系统在浮力和风驱动的组合模式下可能具有多个稳态。先前的研究表明，某些稳态对于小扰动是局部稳定的。但是，系统可以在足够强的扰动下从一种稳定的稳态转换到另一种稳态。在本文中，通过动力学系统方法定量研究了这种状态转变的机理。系统对两种类型的扰动（热源波动和风速变化）的响应会检查稳定稳态之间的过渡动​​力学。定义了两个重要参数-最小扰动幅度和从一种稳定稳态切换到另一种稳态的最小扰动时间，以描述过渡要求。这些状态转换行为讨论并解释了先前实验研究的结果。发现在扰动下两个稳定稳态之间的跃迁动力学对于稳定稳态的鲁棒性很重要，这可以用最小扰动时间和最小扰动量来定量地描述。这两个参数成功地解释了另一项现有研究的实验和数值模拟结果。进一步讨论了开发的摄动方法的应用。

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