# Mathematical analysis of an ASET-based two-layer zone model

 Author: Kwan, Wai-sang Title: Mathematical analysis of an ASET-based two-layer zone model Degree: M.Sc. Year: 1999 Subject: Heat -- Convection -- Mathematical modelsSmoke -- Measurement -- Data processingFire prevention -- Mathematical modelsHong Kong Polytechnic University -- Dissertations Department: Multi-disciplinary StudiesDept. of Building Services Engineering Pages: x, 45, [46] leaves : ill. ; 31 cm Language: English InnoPac Record: http://library.polyu.edu.hk/record=b1471910 URI: http://theses.lib.polyu.edu.hk/handle/200/1016 Abstract: An in-depth investigation of the ASET-based two-layer zone model was carried out. Studies included the assumptions made, limitations of the models, the computer programs (both ASET and ASET-B), equations of the physics and solutions to those equations. Emphasis was then made on the heat loss fraction, which is an input parameter by the program user for fire simulation. Based on the formulae derived by Cooper and Woodhouse [1986] for estimating the convective heat transfer to ceiling during enclosure fires, the heat transfer from a buoyant plume to an unconfined ceiling was studied. The heat loss fraction was estimated with different values of Reynolds number. The set of key equations was solved numerically using Simpson's 1/3 Rule. A new computer program known as ASET-CK was developed in FORTRAN 90. There, the predicted data are stored in format readable by Microsoft-EXCEL for further compilation and analysis. Asymptotic values of 撘eiling/(1-撘) against r/H are found by extrapolation on a well-developed graph. Results of the heat loss fraction were found to be from 0.63 to 0.81, with the Reynolds number varying from 7.3 x 104 to 27 x 104, which are in very good agreement with experiments reported by Cooper [1981], Zukoski et al. [1975] and Chow [1995]. Discussion on the heat loss fraction was also highlighted.

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