Stochastic models of ventilation driven by opposing wind and buoyancy

Stochastic versions of a classical model for natural ventilation are proposed and investigated to demonstrate the effect random fluctuations on stability predictability. In stochastic context, well-known deterministic result that driven by competing effects buoyancy wind admits multiple steady states can be misleading. With in exchanged with an external environment modelled as Wiener process, such systems tend reside vicinity global minima their potential, rather than associated metastable equilibria. For heated space leeward low-level windward high-level opening, sustained buoyancy-driven flow opposing direction is unlikely strengths exceeding statistically critical value, which slightly larger value strength at bifurcation system occurs. When applied Ornstein–Uhlenbeck topology system’s potential effectively modified due nonlinear role has equation conservation. Consequently, large sufficient duration rule out possibility base strengths.