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Simulation of frost formation process on cold surface is carried out based on fractal theory combined with phase change dynamics. Before frosting, the phenomena of vapor condensation, droplet growth and frozen on cold plate are successfully simulated based on phase change dynamics and then a fractal simulation of the frost formation and growth process over the frozen droplets is carried out based on diffusion limited aggregation (DLA) model. The simulation results accord well with the experimental results. The time when the condensation droplets are present and frozen on the surface during simulation process is nearly the same as the experimental result. Before the droplets are frozen, the trend that the surface contact radius of the droplet varies with condensation time is similar to actual one. The simulation results also show that the thickness of frost layer is nearly equal to the measured value. By that means, the feasibility of this method of simulating the frost formation is verified and the new attempt made to foster the combination between fractal theory and phase change dynamics is of great significance. This study also provids a foundational theory work for a more reasonable and accurate frosting process model.
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Keywords:
- fractal /
- phase change dynamics /
- frost formation /
- simulation
[1] Mandelbrot B B 1977 Fractal: Form, Chance and Dimension (New York: W. H. Freeman and Co.)
[2] Barnsley M F, Demko S G 1986 Chaotic Dynamics and Fractals (New York: Academic Press)
[3] Addison D S 1991 Fractals and Chaos (London: IOP Publishing Ltd) chap.3
[4] Qi D L, Wang Q, and Gu H 2008 Chin. Phys. B 17 847
[5] David S, Edward O 2000 Phys. D 139 1
[6] Zhang J Z 1992 Acta Phys. Sin. 41 1302 (in Chinese) [张济忠 1992 41 1302]
[7] Zhang T H, Wu Y G, Sang H B, Li Y L, Zhou G 2001 Chin. Phys. 10 295
[8] Su Y F, Li P X, Chen P, Xu Z F, Zhang X L 2009 Acta Phys. Sin. 58 4531 (in Chinese) [苏亚凤、李普选、陈鹏、徐忠锋、张孝林 2009 58 4531]
[9] Wu F M, Zhu Q P, Shi J Q, Wu Z Q 2000 Chin. Phys. 9 49
[10] Hao Y L, Jose I, Yong X T 2005 J. Southeast Uni. 35 149
[11] Hou P X, Cai L, Yu W P 2007 J. Appl. Sci. 25 193
[12] Dai W T, Wu X M, Wang W C 2005 Chinese Society of Engineering Thermophysics Heat and MassTransfer conference Beijing, p1398 (in Chinese) [戴万田、吴晓敏、王维城 2005中国工程热物理学会传热传质学学术会议论文集 北京 第 1398页] 〖13] Liu Y M, Liu Z L, Huang L Y, Sun J F 2009 Sci China Ser E-Tech Sci 52 3497
[13] Ismail K A R, Salinas C S 1999 Int. J. Refrigeration 22 425
[14] Witten T A, Sander L M 1981 Phys. Rev. Lett. 47 1400
[15] Wu F M, Zhu Q P, Shi J Q 1998 Acta Phys. Sin. 47 542 (in Chinese) [吴峰民、朱启鹏、施建青 1998 47 542]
[16] Shen W D, Jiang Z M, Tong J G 2001 Thermal Dynamics(3th edition) (Beijing: High Education Press) p343 (in Chinese) [沈维道、蒋智敏、童钧耕 2001 工程热力学(第三版)(北京:高等教育出版社)第343页]
[17] Cai Y N, Wang N N 1985 Two Phase Wet Steam Flow (Xi’an: Xi’an Jiaotong University Press) p47—118 (in Chinese) [蔡颐年、王乃宁 1985 湿蒸汽两相流 (西安:西安交通大学出版社)第47—118页]
[18] Liu Z L, Liu Y M, Huang L Y Software Copyright: 2009SRBJ7200
[19] Wang J T 2008 Ph. D. Dissertation (Beijing: Beijing University of Technology) [王皆腾 2008 冷表面上结霜现象的理论与实验研究 博士学位论文(北京:北京工业大学)]
[20] -
[1] Mandelbrot B B 1977 Fractal: Form, Chance and Dimension (New York: W. H. Freeman and Co.)
[2] Barnsley M F, Demko S G 1986 Chaotic Dynamics and Fractals (New York: Academic Press)
[3] Addison D S 1991 Fractals and Chaos (London: IOP Publishing Ltd) chap.3
[4] Qi D L, Wang Q, and Gu H 2008 Chin. Phys. B 17 847
[5] David S, Edward O 2000 Phys. D 139 1
[6] Zhang J Z 1992 Acta Phys. Sin. 41 1302 (in Chinese) [张济忠 1992 41 1302]
[7] Zhang T H, Wu Y G, Sang H B, Li Y L, Zhou G 2001 Chin. Phys. 10 295
[8] Su Y F, Li P X, Chen P, Xu Z F, Zhang X L 2009 Acta Phys. Sin. 58 4531 (in Chinese) [苏亚凤、李普选、陈鹏、徐忠锋、张孝林 2009 58 4531]
[9] Wu F M, Zhu Q P, Shi J Q, Wu Z Q 2000 Chin. Phys. 9 49
[10] Hao Y L, Jose I, Yong X T 2005 J. Southeast Uni. 35 149
[11] Hou P X, Cai L, Yu W P 2007 J. Appl. Sci. 25 193
[12] Dai W T, Wu X M, Wang W C 2005 Chinese Society of Engineering Thermophysics Heat and MassTransfer conference Beijing, p1398 (in Chinese) [戴万田、吴晓敏、王维城 2005中国工程热物理学会传热传质学学术会议论文集 北京 第 1398页] 〖13] Liu Y M, Liu Z L, Huang L Y, Sun J F 2009 Sci China Ser E-Tech Sci 52 3497
[13] Ismail K A R, Salinas C S 1999 Int. J. Refrigeration 22 425
[14] Witten T A, Sander L M 1981 Phys. Rev. Lett. 47 1400
[15] Wu F M, Zhu Q P, Shi J Q 1998 Acta Phys. Sin. 47 542 (in Chinese) [吴峰民、朱启鹏、施建青 1998 47 542]
[16] Shen W D, Jiang Z M, Tong J G 2001 Thermal Dynamics(3th edition) (Beijing: High Education Press) p343 (in Chinese) [沈维道、蒋智敏、童钧耕 2001 工程热力学(第三版)(北京:高等教育出版社)第343页]
[17] Cai Y N, Wang N N 1985 Two Phase Wet Steam Flow (Xi’an: Xi’an Jiaotong University Press) p47—118 (in Chinese) [蔡颐年、王乃宁 1985 湿蒸汽两相流 (西安:西安交通大学出版社)第47—118页]
[18] Liu Z L, Liu Y M, Huang L Y Software Copyright: 2009SRBJ7200
[19] Wang J T 2008 Ph. D. Dissertation (Beijing: Beijing University of Technology) [王皆腾 2008 冷表面上结霜现象的理论与实验研究 博士学位论文(北京:北京工业大学)]
[20]
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