Line plume approximation on atrium smoke filling with thermal stratified environment

Upward motion of a balcony spill plume in an atrium with a thermal stratified layer will be simulated. This is aimed at answering the question on whether a smoke plume can move up an atrium to reach the ceiling. The gradient of air density in the atrium is taken as a constant negative value. The plume motion under this condition is compared with the case without a thermal stratified layer. It is noted that the effect of stratification is not obvious in regions near to the fire. But for the upper region of the plume, the effect is significant. In this way, the plume might not be able to reach the ceiling of an atrium with a hot enough thermal stratified layer. The maximum plume rise under this condition will also be calculated.