Theoretical analysis on flame dimension in turbulent ceiling fires

In this paper, theoretical analysis based on boundary layer theory on flame dimension in turbulent ceiling fires is carried out. The turbulent ceiling fire is developed from a downward round injection source beneath an unconfined inert ceiling. A correlation between the dimensionless flame diameter and the dimensionless heat release rate is obtained, C1(S/d) ∼ C2Q∗3/4. This relation for turbulent ceiling fires is correlated to experimentally measured flame diameters for ceiling fires. Based on the limited data available, the agreement with experiments is very good. Additional experiments are needed to further verify the validity of this relation.