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Abstract Current heat transfer coefficient formulae for particles are derived from data for spheres. However, a real particle is not a sphere, but an irregular body, so the assumption that the real particle approximates a sphere is questionable in mathematical models. Fractal models, which give shapes similar to real particles, are produced by the random walk method to calculate the heat transfer coefficient of a factual particle in a low Reynolds number flow using kinetic theory and gas diffusion theory. The particle diameter is less than 5 μm. Simulations show that the spherical assumption is not suitable for the fractal particle with a maximum error of 82%. Nu is then greatly influenced by the specific area and fractal dimension.
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Keywords
fractal particle
kinetic theory
molecular diffusion
heat transfer coefficient
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Issue Date: 15 June 2014
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[1] |
Kreith F, Bohn M S. Principles of Heat Transfer[M]. 4th Ed. New York: Harper & Row, 1986.
|
[2] |
Kramers H. Heat-transfer from spheres to flowing media[J]. Physica, 1946, 12(1): 61-65.
url: http://dx.doi.org/10.1016/S0031-8914(46)80024-7
|
[3] |
Whitaker S. Forced convection heat-transfer correlations for flow in pipes, past plat plates, single cylinders, single spheres and flow in packed bids and tube bundles[J]. AICHEJ, 1972, 18(3): 361-367.
url: http://dx.doi.org/10.1002/aic.690180219
|
[4] |
Ranz W E, Marshall W R. Evaporation from drops, part I and part II [J]. Chemical Engineering Progress, 1952, 48(3): 141-146, 173-180.
|
[5] |
Solomon P R, Hamblen D G, Serio M A, et al, A character method and model for predicting coal conversion behavior[J]. Fuel, 1993, 72(4): 469-488.
url: http://dx.doi.org/10.1016/0016-2361(93)90106-C
|
[6] |
He R, Sato J, Chen C. Modeling char combustion with fractal pore effects[J]. Combustion Science and Technology, 2002, 174(1): 19-37.
|
[7] |
WU Yuxin, ZHANG Jiansheng, Smith P J, et al.Three-dimensional simulation for an entrained flow coal slurry gasifier[J]. Energy & Fuels, 2010, 24(12): 1156-1163.
|
[8] |
Hamel S, Krumm W. Mathematical modeling and simulation of bubbling fluidized bed gasifiers[J]. Powder Technology, 2001, 120(1): 105-112.
url: http://dx.doi.org/10.1016/S0032-5910(01)00356-4
|
[9] |
李汝辉. 传质学基础 [M]. 北京: 北京航空学院出版社, 1987. LI Ruhui. Fundamentals of Mass Transfer [M]. Beijing: Beihang University Press, 1987. (in Chinese)
|
[10] |
张济忠. 分形[M]. 北京: 清华大学出版社, 1995. ZHANG Jizhong. Fractals [M]. Beijing: Tsinghua University Press, 1995. (in Chinese)
|
[11] |
HE Rong, XU Xuchang, CHEN Changhe, et al.Evolution of pore fractal dimensions for burning porous chars[J]. Fuel, 1998, 77(12): 1291-1295.
url: http://dx.doi.org/10.1016/S0016-2361(98)00046-5
|
[12] |
曹立勇, 何榕. 基于Sierpinski 地毯的气体扩散规律[J].清华大学学报: 自然科学版, 2009, 49(5): 711-714. CAO Liyong, HE Rong. Gas diffudion in a Sierpinski gasket[J]. J Tsinghua Univ: Sci and Tech, 2009, 49(5): 711-714. (in Chinese)
url: http://www.cnki.com.cn/Article/CJFDTotal-QHXW200905020.htm
|
[13] |
曹立勇. 分形孔隙内气体扩散规律及对CaO 孔内反应影响的研究 [D]. 北京: 清华大学, 2009. CAO Liyong. Study of Gas Diffusion in Fractal Media and the Effect on the Reaction in CaO [D]. Beijing: Tsinghua University, 2009. (in Chinese)
|
[14] |
梁占刚. 多孔介质孔隙分形生成[D]. 北京: 清华大学, 2004. LIANG Zhangang. Fractal Generation of Pores for Porous Media [D]. Beijing: Tsinghua University, 2004. (in Chinese)
|
[15] |
Bird G A. Molecular Gas Dynamics and the Direct Simulation of Gas Flows [M]. Oxford: Clarendon Press, 1994.
|
[16] |
韩德刚, 高盘良. 化学动力学基础 [M]. 北京: 北京大学出版社, 1987. HAN Degang, GAO Panliang. Fundamentals of Chemical Kinetics [M]. Beijing: Peking University Press, 1987.(in Chinese)
|
[17] |
Jeans J. An Introduction to the Kinetic Theory of Gases [M]. Cambridge: Cambridge University Press, 1952.
|
[18] |
陈群. 煤焦孔隙的分形结构与燃烧特性的研究 [D]. 北京: 清华大学, 2004. CHEN Qun. Study on the Fractal Pore Structure and Combustion Kinetics of Chars [D]. Beijing: Tsinghua University, 2004. (in Chinese)
|
[19] |
章熙民, 任泽霈, 梅飞鸣. 传热学[M]. 北京: 中国建筑工业出版社, 1993. ZHANG Ximin, REN Zepei, MEI Feiming. Convective Heat Transfer [M]. Beijing: China Architecture & Building Press, 1993. (in Chinese)
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