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This paper investigates the capillary flows in variable interior corners along the axis when a microgravity environment and the Concus-Finn condition are satisfied. The governing equation for capillary-driven flows in variable interior corners is established, and an approximately analytic solution is obtained. Then we compare the approximately analytic solution with the numerical simulation results obtained using the software FLOW-3D. Results show that the relative error between the approximately analytical and numerical solutions is getting smaller and smaller with increasing time, and it will be less than 5% after 6 s. The influence of different parameters on the interior corner flow is studied using a set of typical parameters. Numerical results show that the liquid-front position and meniscus height decrease with increasing interior angles, contact angle, slope, and power exponent. The liquid meniscus height increases with the duration at different times. But it remains constant at the initial time. The conclusion of this paper can be applied when designing containers and choosing the suitable solution in the space fluid management.
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Keywords:
- variable interior corners /
- capillary driven flows /
- approximate analytic solution /
- front position
[1] Hu W R, Xu S C 1999 Microgravity Fluid Mechanics (Beijing: Science Press) pp1-5 (in Chinese) [胡文瑞, 徐硕昌1999微重力流体力学(北京: 科学出版社)第1–5页]
[2] Duan L, Kang Q 2008 Chin. Phys. B 17 3149
[3] Xie H Q, Zhong Z, Zhang L Q, Liang G Y, Mizuseki H, Kawazoe Y 2012 Chin. Phys. B 12 124703
[4] Mason G, Morrow R N 1991 J. Colloid Interface Sci. 141 262274
[5] Dong M, Chatzis I 1995 J. Colloid Interface Sci. 172 278288
[6] Wei Y X, Chen X Q, Huang Y Y 2011 Sci. China Ser E 41 1218 (in Chinese) [魏月兴, 陈小前, 黄奕勇2011中国科学: 技术科学41 12181224]
[7] Weislogel M 1996 NASA-TM- 107364
[8] Weislogel M M, Jenson R, Chen Y K, Collicott S H, Klatte J, Dreyer M 2009 Acta Astronaut 65 861869
[9] Wang C X, Xu S H, Sun Z W, Hu W R 2010 Int. J. Heat Mass Trans. 53 18011807
[10] Xu S H, Wang C X, Sun Z W, Hu W R 2007 J. Jpn. Soc. Microgravity Appl. 24 275278
[11] Concus P, Finn R 1990 Microgravity Sci. Tec. 3 8792
[12] Ransohoff T C, Radke C J 1988 J. Colloid Interface Sci. 121 392401
[13] Chen Y K, Weislogel M M, Nardin C L 2006 J. Fluid Mech. 566 235271
[14] Chen Y K, Weislogel M M, Bolleddula D A 2007 45th AIAA Aerospace Sciences Meeting and Exhibit Reno, Nevada, January 8-11, 2007 paper AIAA-2007-745
[15] Xu S H, Zhou H W, Wang C X, Wang L W, Sun Z W 2013 Acta Phys. Sin. 62 134702 (in Chinese) [徐升华, 周宏伟, 王彩霞, 王林伟, 孙祉伟 2013 62 134702]
[16] Li J H, Chen X Q, Huang Y Y, Bai Z Y 2012 Sci. China Ser E 42 957962 (in Chinese) [李京浩, 陈小前, 黄奕勇, 白玉铸2012中国科学: 技术科学42 957962]
[17] Li Y Q, Zhang C H, Liu L, Duan L, Kang Q 2013 Acta Phys. Sin. 62 044701 (in Chinese) [李永强, 张晨辉, 刘玲, 段俐, 康琦 2013 62 044701]
[18] Li Y Q, Liu L, Zhang C H, Duan L, Kang Q 2013 Acta Phys. Sin. 62 024701 (in Chinese) [李永强, 刘玲, 张晨辉, 段俐, 康琦 2013 62 024701]
[19] Weislogel M M, Collicott S H 2002 40th AIAA Aerospace Sciences Meeting & Exhibt Reno, Nevada, January 14-17, 2002 paper AIAA-2002-0757
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[1] Hu W R, Xu S C 1999 Microgravity Fluid Mechanics (Beijing: Science Press) pp1-5 (in Chinese) [胡文瑞, 徐硕昌1999微重力流体力学(北京: 科学出版社)第1–5页]
[2] Duan L, Kang Q 2008 Chin. Phys. B 17 3149
[3] Xie H Q, Zhong Z, Zhang L Q, Liang G Y, Mizuseki H, Kawazoe Y 2012 Chin. Phys. B 12 124703
[4] Mason G, Morrow R N 1991 J. Colloid Interface Sci. 141 262274
[5] Dong M, Chatzis I 1995 J. Colloid Interface Sci. 172 278288
[6] Wei Y X, Chen X Q, Huang Y Y 2011 Sci. China Ser E 41 1218 (in Chinese) [魏月兴, 陈小前, 黄奕勇2011中国科学: 技术科学41 12181224]
[7] Weislogel M 1996 NASA-TM- 107364
[8] Weislogel M M, Jenson R, Chen Y K, Collicott S H, Klatte J, Dreyer M 2009 Acta Astronaut 65 861869
[9] Wang C X, Xu S H, Sun Z W, Hu W R 2010 Int. J. Heat Mass Trans. 53 18011807
[10] Xu S H, Wang C X, Sun Z W, Hu W R 2007 J. Jpn. Soc. Microgravity Appl. 24 275278
[11] Concus P, Finn R 1990 Microgravity Sci. Tec. 3 8792
[12] Ransohoff T C, Radke C J 1988 J. Colloid Interface Sci. 121 392401
[13] Chen Y K, Weislogel M M, Nardin C L 2006 J. Fluid Mech. 566 235271
[14] Chen Y K, Weislogel M M, Bolleddula D A 2007 45th AIAA Aerospace Sciences Meeting and Exhibit Reno, Nevada, January 8-11, 2007 paper AIAA-2007-745
[15] Xu S H, Zhou H W, Wang C X, Wang L W, Sun Z W 2013 Acta Phys. Sin. 62 134702 (in Chinese) [徐升华, 周宏伟, 王彩霞, 王林伟, 孙祉伟 2013 62 134702]
[16] Li J H, Chen X Q, Huang Y Y, Bai Z Y 2012 Sci. China Ser E 42 957962 (in Chinese) [李京浩, 陈小前, 黄奕勇, 白玉铸2012中国科学: 技术科学42 957962]
[17] Li Y Q, Zhang C H, Liu L, Duan L, Kang Q 2013 Acta Phys. Sin. 62 044701 (in Chinese) [李永强, 张晨辉, 刘玲, 段俐, 康琦 2013 62 044701]
[18] Li Y Q, Liu L, Zhang C H, Duan L, Kang Q 2013 Acta Phys. Sin. 62 024701 (in Chinese) [李永强, 刘玲, 张晨辉, 段俐, 康琦 2013 62 024701]
[19] Weislogel M M, Collicott S H 2002 40th AIAA Aerospace Sciences Meeting & Exhibt Reno, Nevada, January 14-17, 2002 paper AIAA-2002-0757
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