A Non-Linear Model of Flashover

Beard, Alan N.; Drysdale, Dougal; Holborn, P.G.; Bishop, Steven R.

doi:10.3210/fst.12.2_11

Cited by 25 publications

(33 citation statements)

References 11 publications

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“…It has been shown [8,9] that such bifurcations, representing fire evolution in a compartment, can be described as catastrophes (of certain types) of control surfaces.…”

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confidence: 99%

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Nonlinear dynamical model of compartment fire flashover

Novozhilov

2009

J Eng Math

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A new dynamical model predicting compartment fire flashover is presented. The development is motivated by apparent deficiencies of available models. Innovative interpretation of flashover in terms of thermal explosion theory is proposed. In contrast to previously developed flashover dynamical models, which can be interpreted in terms of classical thermal explosion, the present model is interpreted as a conjugate thermal explosion. Therefore, the general conjugate thermal explosion concept finds its natural application in compartment fire dynamics. Critical conditions for compartment fire flashover are derived for the present model, and compared to those available from earlier studies.

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“…It has been shown [8,9] that such bifurcations, representing fire evolution in a compartment, can be described as catastrophes (of certain types) of control surfaces.…”

mentioning

confidence: 99%

“…Several dynamical models have been proposed since, involving different numbers of state variables, namely one [6][7][8], two [9,10] or three [11,12]. For example, Beard [12] considered the system described by three parameters: viz.…”

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confidence: 99%

Nonlinear dynamical model of compartment fire flashover

Novozhilov

2009

J Eng Math

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“…That is, a transformation of the temperature variable could be carried out and a scalar potential function constructed. Such an approach was taken in constructing a model of flashover in a compartment, [5]. Both the tunnel model being described here and the model of reference [5] assume a single state-variable corresponding to temperature.…”

Section: Differential Equation For the Systemmentioning

confidence: 99%

“…Such an approach was taken in constructing a model of flashover in a compartment, [5]. Both the tunnel model being described here and the model of reference [5] assume a single state-variable corresponding to temperature. In [5] it was shown that a swallowtail catastrophe is implicit within the system and if a similar form of analysis were to be adopted here then a swallowtail would also be expected to emerge here.…”

Section: Differential Equation For the Systemmentioning

confidence: 99%

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A Theoretical Model of Major Fire Spread in a Tunnel

Beard¹

2006

Fire Technol

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A model of major fire spread in a tunnel is described. It employs the concepts of non-linear dynamical systems theory and identifies the onset of instability with major fire spread in a tunnel. In particular, the model associates the existence of a fold bifurcation with dramatic fire spread from an initial fire to a 'target object'. The purpose is to identify the thermo-physical and geometrical conditions which lead to instability and sudden fire spread. Flame impingement on the target object is assumed not to exist; fire spread is assumed to be by spontaneous ignition only.The case considered assumes the existence of a longitudinal forced ventilation and predicts the critical heat release rate needed for a fire to spread from an initial fire to an item with a given assumed shape. The target object may be taken to approximate a vehicle. The illustrative case approximating fire spread from an initial fire to a heavy goods vehicle (HGV) within the Channel Tunnel is presented ; it is not restricted to this case, however. The model is identified with the name FIRE-SPRINT A3, which is an acronym of Fire Spread in Tunnels, Model A, Version 3. It is a development of an earlier model, FIRE-SPRINT A2. The current model takes greater account of thermal radiation than was done in the earlier work and also assumes a more extensive flame volume for a downstream flame section.

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