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摘要: 为了增强雾化液滴质量和热量的传递, 有效预测与评价喷雾质量, 应用最大熵原理和动量守恒定律推导出了新的雾化液滴尺寸和速度的概率密度分布函数, 包括数目分布函数、数目微分分布函数、体积分布函数、体积微分分布函数与总体积公式。当不考虑速度分布时, 推导的喷雾液滴尺寸分布与曹建明先前推导的尺寸分布具有完全相同的形式, 其分布函数是Nukiyama-Tanasawa型雾化液滴尺寸分布函数的一种特定形式, 推导结果具有普适意义。
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关键词:
- 动力工程 /
- 最大熵原理 /
- 动量守恒定律 /
- 液滴尺寸和速度联合分布函数
Abstract: For enhancing the mass and heat transfer of droplet in spray, and predicting and evaluating spray quality, new probability distribution functions of number, differential number, volume, differential volume and total volume formula on joined droplet size and velocity were derived by using maximum entropy principle and momentum conservation law. If droplet velocity distribution is not considered, the derived formula of droplet size distribution in spray has an absolute same form as the formula in Cao Jian-ming previous study, the droplet size distribution function is a special form of Nukiyama-Tanasawa size distribution function, the derivation results have universal availability. -
[1] 曹建明, 武涛, 程前, 等. 柴油与LPG/柴油双燃料喷雾特性的对比[J]. 交通运输工程学报, 2003, 3(2): 40-44. http://transport.chd.edu.cn/article/id/200302001Cao Jian-ming, Wu Tao, Cheng Qian, et al. Atomization characteristics comparison between diesel and LPG/diesel dual fuel[J]. Journal of Traffic and Transportation Engineering, 2003, 3(2): 40-44. (in Chinese) http://transport.chd.edu.cn/article/id/200302001 [2] Cao Jian-ming, Bian Yao-zhang, Qi Dong-hui, et al. Comparative investigation of diesel and mixed liquefied petroleum gas/diesel injection engines[J]. Journal of Automobile Engineering, 2004, 218(D5): 557-565. [3] Nukiyama S, Tanasawa Y. Onthe droplet-size distributionin an atomizedjet[J]. Transaction Society of Mechanical Engineering Japan, 1939, 5(18): 62-67. [4] Rosin P, Rammler E. The laws governing the fineness of powdered coal[J]. Fuel, 1933, 7(1): 29-36. [5] Rizk N K, Lefebvre A H. Drop-size distribution characteristics of spill-reture atomizers[J]. AIAA Journal of Propulsion and Power, 1985, 9(1): 16-22. [6] Mugele R, Evans H D. Droplet size distributions in sprays[J]. Industry Engineering of Chemistry, 1951, 43(6): 1317-1324. doi: 10.1021/ie50498a023 [7] Sellens R W, Brzustowski T A. Aprediction of the drop size distribution in a spray from first principle[J]. Atomization and Spray Technology, 1985, 25(1): 89-102. [8] 曹建明. Nukiyama-Tanasawa型雾化液滴尺寸分布函数的引申[J]. 中国公路学报, 1999, 12(增刊): 106-111. https://www.cnki.com.cn/Article/CJFDTOTAL-ZGGL1999S1016.htmCao Jian-ming. An extension of the Nukiyama-Tanasawa droplet size distribution functionin sprays[J]. China Journal of Highway and Transport, 1999, 12(Sup): 106-111. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-ZGGL1999S1016.htm [9] Cao Jian-ming. On the theoretical prediction of fuel droplet size distribution in nonreactive diesel sprays[J]. Journal of Fluids Engineering, 2002, 124(1): 182-185. [10] Levy N, Amara S, Champoussin J C, et al. Non-reactive diesel spray computations supported by PDA measurements[J]. SAE Paper, 970049. -
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