Emptying-filling boxes with non-Boussinesq plumes and fountains

Abstract

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Determination of discharge coefficient in non-Boussinesq cases and application in emptying–filling boxes

“…Linden et al [4] extended the filling box model by placing vents on the "emptying-filling box" and studied the effect of internal sources on displacement and mixing flows. The emptying-filling box model has been regarded as foundational to building ventilation studies, in which buoyant-driven flows are separately generated by multiple buoyancy sources [5], vertically distributed source [6,7], transient flows [8,9], external wind [10,11], and non-Boussinesq plume [12,13].…”

“…The density contrast is embodied in the discharge parameter Γd which can be quantified with the ratio of buoyancy to momentum of the plume-like flow above the vent. In a recent study, Mehaddi et al [12] investigated the dynamics of an emptying-filling model driven by negatively buoyant and positively buoyant discharges with non-assumption concerning the magnitude of the density deficit. However, the dependence of Cd on high density contrast (i.e., in a non-Boussinesq case),…”

Determination of the discharge coefficient through vent driven by a non-Boussinesq plume in an emptying filling box

“…The density contrast is embodied in the discharge parameter Γ d which can be quantified with the ratio of buoyancy to momentum of the plume-like flow above the vent. In a recent paper, Mehaddi et al [9] studied the dynamics of emptying-filling model driven by negatively buoyant and positively buoyant discharges with non assumption about the magnitude of the density deficit. However, the dependence of C d on high density contrast in a non-Boussinesq case is not given definitely so far.…”