Author(s)

Wan Ki Chow^*, Jing Liu

Research Centre for Fire Engineering, Department of Building Services Engineering, The Hong Kong Polytechnic University, Hong Kong, China.

Open kitchen designs are found in small units in tall residential buildings of Asian-Oceania regions for better space utilization. As many combustibles are stored in small residential units, fire originated in the open kitchen can grow and spread fast. Consequently, flashover can occur to give a big fire and result in severe casualties and property damage. Nonlinear dynamics can be applied to predict critical heat release rate to flashover in the unit with an open kitchen and will be illustrated in this paper. Based on a two-zone model, temperature of the hot smoke layer was taken as the system state variable. An evolution equation was developed with selective control parameters. Onsetting of flashover using a nonlinear dynamical system was demonstrated in the example residential units. Effects of the floor dimensions, the radiation feedback coefficient and thermal properties of wall material on the onset of flashover were then examined and analyzed. The developed nonlinear dynamical model for studying the onset of flashover gives a better understanding of the various control parameters.

Bifurcation, Flashover, Nonlinear Dynamics, Open Kitchen, Small Residential Unit

Chow, W. and Liu, J. (2016) Application of Nonlinear Dynamics in Studying Flashover Fire in a Small Open Kitchen. Journal of Applied Mathematics and Physics, 4, 914-924. doi: 10.4236/jamp.2016.45100.