One-dimensional mathematical modelling of enclosure fire dynamics

✍ Scribed by A. K. Gupta; Surendra Kumar; Bani Singh

• Publisher: John Wiley and Sons
• Year: 1988
• Tongue: English
• Weight: 703 KB
• Volume: 12
• Category: Article
• ISSN: 0308-0501
• DOI: 10.1002/fam.810120203

✦ Synopsis

This paper presents a one-dimensional mathematical model of enclosure fire dynamics. The model is based on the fundamental equations of mass, momentum and energy and uses the top hat velocity and temperature profiles for the movement of plume gases. A computational algorithm is also developed to solve the set of transient model partial differential equations. In addition, the explicit equations have been derived for computing the steady state velocity and temperature profiles. These derivations are based on the assumption that the plume width follows the relationship given by Eqn (12). Further, these relationships help to identify a dimensionless parameter, Fr,, known as source Froude number, which has a significant effect on the behaviour of the plume gases. It may be noted that this assumption is only applicable for the case of Fr, = 1. The plume behaviour is studied with reference to three cases of source Froude numbers, i.e.