“…It is assumed that there are no fabric heat losses or gains through the ceiling or floor and that the building is well insulated. Following our previous analysis [10,11], the system is assumed to be incompressible and Boussinesq and the pressure distribution hydrostatic. For analytical convenience, the plume is assumed to be switched on at t ¼ t 2,b , not t ¼ 0, the instant when the bottom and top vents are simultaneously opened.…”