Heat release rate model of regular burning polystyrene sheet

doi:10.11949/j.issn.0438-1157.20171446

Abstract

Abstract:

Combustion experiments of polystyrene (PS) sheet in multiple dimensions were carried out on a small scale ISO 9705 cone calorimeter, which took 10cm×10cm plate as one unit and measured value of heat release rate. The flame began to accelerate spreading from the ignition corner to unburned region at the same speed upon ignition at right corner of PS sheet, and diffused in a geometry of regular fan. According to the shape of heat release rate (HRR) curve, combustion process was divided into three stages:ascending, plateau and declining stages. By analysis of heat release rate and combustion process, a linear relationship was found between total heat release and material area. Heat release in the ascending stage was about 77.83% of total heat release for burnings without a plateau. HRR curves were fitted with exponential function by combustion thermophysical parameters, such as heat release peak rate, peak time and heat release amount. The fitting results showed similar parameters which a mean of ascending stage was 0.003888 and mean of declining stage was -0.01178. Unified mathematical equation was obtained for ascending stage by taking 10×10-1 peak time of an experimental group as reference time. Both non-plateau peak value and peak time was calculated from correlation of heat release at ascending stage and total heat release. Further experiments verified that the mathematic model can predict heat release rate development of regular burning polystyrene sheet with and without plateau stage.

Key words: polystyrene, heat release rate, numerical analysis, mathematical modeling, experimental validation

摘要：

在小尺寸ISO 9705锥形量热平台开展了多个尺寸聚苯乙烯薄板燃烧实验，燃烧时火焰从点燃角开始以相等的蔓延速度向未燃区域加速蔓延，呈扇形规则扩散。对实验测得的燃烧热释放速率结合燃烧过程分析发现，总释热量与材料面积呈良好的线性关系，且没有燃烧平台期的上升段释热量占总释热量比例约为77.83%。利用指数函数建立数学模型表达HRR曲线，涉及的燃烧热物理性能包括热释放速率峰值、峰值时间、燃烧释热量。以实验组10×10-1的峰值时间为参考时间，拟合得到上升阶段曲线表达式，无平台期的峰值及峰值时间可由上升阶段释热量与总释热量的关系计算得到。验证结果表明，该数学模型能够较好地预测燃烧蔓延规则的聚苯乙烯材料无平台期的燃烧热释放速率发展情况和描述含平台期的热释放速率变化过程。

关键词: 聚苯乙烯, 热释放速率, 数值分析, 数学模拟, 实验验证

CLC Number:

TK16

CHEN Peiran, LI Haihang, DING Jie, LIN Peng. Heat release rate model of regular burning polystyrene sheet[J]. CIESC Journal, 2018, 69(8): 3747-3753.

陈沛然, 李海航, 丁杰, 林鹏. 蔓延规则材料聚苯乙烯板的热释放速率模型[J]. 化工学报, 2018, 69(8): 3747-3753.

References 30

[1]	WACHOWICZ J. Heat release rate in evaluation of conveyor belts in full-scale fire tests[J]. Fire & Materials, 2015, 21(6):253-257.
[2]	ALVARES N, HASEGAWA H, STAGGS K. Ignition, heat release rate and suppression of elastomeric materials[J]. Fire Technology, 2016, 52(5):1575-1593.
[3]	ATABAKi F, KESHAVARZ M H, BASTAM N N. The simplest model for reliable prediction of the total heat release of polymers for assessment of their combustion properties[J]. Journal of Thermal Analysis & Calorimetry, 2017, (2):1-8.
[4]	张苗, 刘幸娜, 吴振坤, 等. EPS火灾蔓延速率的数值模拟与实验研究[J]. 消防科学与技术, 2014, (5):501-505. ZHANG M, LIU X G, WU Z K, et al. Numerical simulation and experimental study of EPS fire spread rate[J]. Fire Science and Technology, 2014,(5):501-505.
[5]	CHOW W K, HAN S S. Superposition of heat release rate curves for combustibles with bench-scale tests[J]. Polymer Testing, 2006, 25(1):75-82.
[6]	KESHAVARZ M H, DASHTIZADEH A, MOTAMEDOSHARIATI H, et al. A simple model for reliable prediction of the specific heat release capacity of polymers as an important characteristic of their flammability[J]. Journal of Thermal Analysis & Calorimetry, 2017, 128(1):1-10.
[7]	LIN X, HE Y, JIANG W, et al. Prediction of heat release rate of shredded paper tapes based on profile burning surface[J]. Journal of Thermal Analysis & Calorimetry, 2017, (2):1-11.
[8]	WANG S, CHEN H, LIU N. Ignition of expandable polystyrene foam by a hot particle:an experimental and numerical study[J]. Journal of Hazardous Materials, 2015, 283:536-543.
[9]	BLANCHARD E, BOULET P, DESANGHERE S, et al. Experimental and numerical study of fire in a midscale test tunnel[J]. Fire Safety Journal, 2012, 47(1):18-31.
[10]	董惠. ISO9705大尺度火灾热释放速率相关实验研究[D]. 哈尔滨:哈尔滨工程大学, 2006. DONG H. ISO9705 large scale experimental study on heat release rate of fire[D]. Harbin:Harbin Engineering University, 2006.
[11]	INGASON H. Design fire curves for tunnels[J]. Fire Safety Journal, 2009, 44(2):259-265.
[12]	金辉, 吴晓娜, 陈霄峰. 挤塑聚苯乙烯泡沫塑料热释放速率实验研究[J]. 新型建筑材料, 2011, 38(8):76-78. JIN H, WU X N, CHEN X F. Research on the test method for heat release rate of XPS[J]. New Building Materials, 2011, 38(8):76-78.
[13]	HANSEN R, INGASON H. An engineering tool to calculate heat release rates of multiple objects in underground structures[J]. Fire Safety Journal, 2011, 46(4):194-203.
[14]	NOAKI M, DELICHATSIOS M A, YAMAGUCHI J I, et al. Heat release rate of wooden cribs with water application for fire suppression[J]. Fire Safety Journal, 2018, 95:170-179.
[15]	HOSTIKKA S, MATALA A. Pyrolysis model for predicting the heat release rate of birch wood[J]. Combustion Science & Technology, 2017, 189(8):1373-1393.
[16]	KHAN M M, TEWARSON A, CHAOS M. Combustion Characteristics of Materials and Generation of Fire Products[M]. New York:Springer, 2016.
[17]	AN W, JIANG L, SUN J, et al. Correlation analysis of sample thickness, heat flux, and cone calorimetry test data of polystyrene foam[J]. Journal of Thermal Analysis & Calorimetry, 2015, 119(1):229-238.
[18]	刘方, 王利珍, 廖曙, 等. 多种材料的固体可燃物水平火蔓延研究[C]//全国公共建筑及设施安全通风与空调技术交流会. 2005. LIU F, WANG L Z, LIAO S, et al. Study on horizontal fire spread of solid fuels of various materials[C]//National Conference on Safety Ventilation and Air Conditioning Technology for Public Buildings and Facilities. 2005.
[19]	张和平, 程旭东, 杨昀. 典型壁面装饰材料的热释放速率模型[J]. 燃烧科学与技术, 2006, 12(6):497-501. ZHANG H P, CHENG X D, YANG Y. Heat release rate of lining materials[J]. Journal of Combustion Science and Technology, 2006, 12(6):497-501.
[20]	彭小芹, 刘松林, 卢国建. 材料热释放速率的试验分析[J]. 重庆大学学报:自然科学版, 2005, 28(8):122-125. PENG X Q, LIU S L, LU G J. Test and analysis of heat release rate of materials[J]. Journal of Chongqing University:Natural Science Edition, 2005, 28(8):122-125.
[21]	ZHANG M, SONG W H, LIU X N, et al. Experimental study of material thickness effect on combustion characteristic for molded polystyrene board[J]. Applied Mechanics & Materials, 2013, 423-426:339-346.
[22]	金辉. 挤塑聚苯乙烯泡沫塑料燃烧性能判定[J]. 消防科学与技术, 2011, 30(8):725-728. JIN H. The determine of combustion property of extruded polystyrene foam[J]. Fire Science & Technology, 2011, 30(8):725-728.
[23]	韩丹丹. 膨胀聚苯乙烯塑料板用于建筑保温材料防火的研究[J]. 煤炭与化工, 2014, 37(9):144-145. HAN D D. Study on expanded polystyrene plastic board application in building insulation materials fire prevention[J]. Coal & Chemical Industry, 2014, 37(9):144-145.
[24]	吴众刚. (阻燃)聚苯乙烯火灾特性多尺度研究[D]. 合肥:中国科学技术大学, 2014. WU Z G. The research of fire behaviors on polystyrene and its fire retardants under multi-scale tests[D]. Hefei:University of Science and Technology China, 2014.
[25]	李海航. 低压条件下气体射流的燃烧特性与火焰形态研究[D]. 合肥:中国科学技术大学, 2014. LI H H. Study on combustion characteristics and flame morphologies of gas jets at subatmospheric pressures[D]. Hefei:University of Science and Technology China, 2014.
[26]	CHOW W K, HAN S S, DONG H, et al. Full-scale burning tests on heat release rates of furniture[J]. International Journal on Engineering Performance-Based Fire Codes, 2004, 6(3):168-180.
[27]	张宇明. 软垫家具热释放速率预测模型研究[D]. 哈尔滨:哈尔滨工程大学, 2009. ZHANG Y M. Heat release rate prediction model of upholstered furniture[D]. Harbin:Harbin Engineering University, 2009.
[28]	唐家德. 基于MATLAB的非线性曲线拟合[J]. 计算机与现代化, 2008, (6):15-19. TANG J D. Nonlinear curve fitting based on MATLAB[J]. Computer and Modernization, 2008, (6):15-19
[29]	NUMAJIRI F, FURUKAWA K. Mathematical expression of heat release rate curve and proposal of ‘burning index’[J]. Fire & Materials, 2015, 22(1):39-42.
[30]	BLANCHARD E, BOULET P, FROMY P, et al. Experimental and numerical study of the interaction between water mist and fire in an intermediate test tunnel[J]. Fire Technology, 2014, 50(3):565-587.