Mathematical Modelling of Stack-Driven Natural Ventilation in Buildings

In this paper, mathematical modeling of stack-driven natural ventilation in buildings is performed. Stack-driven natural ventilation is due to only buoyancy forces generated by the presence of heat sources at the bottom of the room. There are two cases have been taken: (1) Transient natural ventilation in fully insulated buildings and (2) Transient natural ventilation in partially insulated buildings. In first case, it is assumed that there is no heat transfer through walls and roof and only heat transfer through openings of door and window. Also there is a distributed heat source at the floor. Since the convection is at a high Rayleigh number, the room can be assumed to have a well-mixed interior. The complex heat balance equations are solved analytically for the internal temperature.