A mathematical model on lateral temperature profile of buoyant window spill plume from a compartment fire

详细信息    查看全文

• 作者：L.H. Hu^a ; ^{hlh@ustc.edu.cn} ; F. Tang^a ; M.A. Delichatsios^b ; K.H. Lu^a
• 关键词：Compartment fire ; Spill plume ; Lateral temperature profile ; Gaussian model
• 刊名：International Journal of Heat and Mass Transfer
• 出版年：2013
• 出版时间：1 January, 2013
• 年：2013
• 卷：56
• 期：1-2
• 页码：447-453
• 全文大小：652 K

文摘

A Gaussian-based mathematical model is theoretically brought forward to describe the lateral temperature profile (in the direction normal to the fa?ade wall) of a spill buoyant plume from window of a compartment fire. The model is built up physically based on that this buoyant plume is conceptually produced by a rectangular fire source with characteristic side dimensions of (beside wall, physical length scale related to the effective area of the outflow) and (normal to wall, physical length scale representing the length after which the outflow turns from horizontal to vertical due to buoyancy) sitting beside an adiabatic fa?ade wall at the neutral plane height of the window. A deduced length scale, by accounting for the entrainment of air mass flow rate into the plume from the non-constrained sides, is brought forward to characterize the effective plume thickness in the direction normal to the fa?ade wall, which will be used in the Gaussian profile function. Experiments are carried out in an experimental device to validate the model developed for six different windows. Results show that the length scale proposed for describing the effective plume thickness can successfully collapse the experimental data of different total heat release rates for various window geometries, and the proposed Gaussian-based model can predict the lateral temperature profile measurements. Furthermore, an exponential function is proposed for the parameter ¦Â in the Gaussian profile of such a spill plume in relation to the window aspect ratio (H/W).