Radiation effects mass loss

A pool of PMMA with a diameter of 1 m burns in air. Radiation effects are to be included. In addition to using the properties from Problem 9.1, let XT = 0.25,7f = 1500 K and k = 0.5 nC1. If it is known that the critical mass loss rate for PMMA is 4 g/m2 s, calculate the flux of water (m") needed to extinguish this fire. If instead the oxygen is reduced, at what mass fraction will extinction occur ... 

Due to the lack of empirical mass loss rates in the regime of the calculations, the radiation driven wind theory according to Kudritzki et al. (1989) was applied, with wind parameters k = 0.085, a = 0.657, 6 = 0.095, and [3=1 (Pauldrach et al. 1994). I.e., the dependence of the mass loss rate on the luminosity, effective temperature, mass and surface hydrogen mass fraction was taken into account. 

A one-dimensional thermal response model was developed to predict the temperature of FRP structural members subjected to fire. Complex boundary conditions can be considered in this model, including prescribed temperature or heat flow, as well as heat convection and/or radiation. The progressive changes of thermophysical properties including decomposition degree, density, thermal conductivity, and specific heat capacity can be obtained in space and time domains using this model. Complex processes such as endothermic decomposition, mass loss, and delatnina-tion effects can be described on the basis of an effective material properties over the whole fire duration. 

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