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We investigate numerically the sedimentations of solid particles in a fluid with different temperatures using a lattice Boltzmann method. The sedimentation processes of a single particle in an isothermal, hot, or cool fluid are first simulated, and then the sedimentations of two particles with different temperatures are carefully studied. It is found that the dynamics of the two particles with the same temperature is closely related to the Reynolds number and the Grashof number, while the process of two particles with different temperatures are different from that of two particles with the same temperature. The cold particle will eventually descend under the hot particle, and the drafting and kissing phenomenon occurs as Re is large, while the cold particle falls far from the hot one as Re is small.
[1] Feng J, Hu H H, Joseph D D 1994 J. Fluid Mech. 261 95
[2] Aidun C K, Ding E J 2003 Phys. Fluids 15 1612
[3] Nie D M, Lin J Z 2010 Commun. Comput. Phys. 7 544
[4] Xia Z H, Kevin W C, Saikiran R, Yue P T, James J F, Chen S Y 2009 J. Fluid Mech. 625 249
[5] Chen X, Lam Y C, Wang Z Y 2008 Compos. Sci. Technol. 68 398
[6] Gan H, Chang J Z, James J F, Howard H H 2003 J. Fluid Mech. 481 385
[7] Gan H, Feng J J, Hu H H 2003 Int. J. Multiphas. Flow 29 751
[8] Yu Z, Shao X, Wachs A 2006 J. Comput. Phys. 271 424
[9] Dan C, Wachs A 2010 Int. J. Heat Fluid Fl. 31 1050
[10] Feng Z G, Michaelides E E 2008 Phys. Fluids 20 040604
[11] Liu H T, Tong Z H, An K, Ma L Q 2009 Acta Phys. Sin. 58 6369 (in Chinese) [刘汉涛, 仝志辉, 安康, 马理强 2009 58 6369]
[12] Liu H T, Chang J Z, An K, Su T X 2010 Acta Phys. Sin. 59 1877 (in Chinese) [刘汉涛, 常建忠, 安康, 苏铁熊 2010 59 1877]
[13] Qian Y H, D' Humieres D, Lallem P 1992 Europhys. Lett. 17 479
[14] Shi Y, Zhao T S, Guo Z L 2004 Phys. Rev. E 75 036704
[15] Zhang T, Shi B C, Guo Z L, Chai Z H, Lu J H 2012 Phys. Rev. E 85 016701
[16] Guo Z L, Zheng C G 2009 Theory and Applications of Lattice Boltzmann Method (Beijing:Science Press) p72 (in Chinese) [郭照立, 郑楚光 2009 格子Boltzmann方法的原理及应用(北京:科学出版社) 第72页]
[17] Guo Z L, Zheng C G, Shi B C 2002 Phys. Fluids 14 2007
[18] Ladd A J C 1994 J. Fluid Mech. 271 285
[19] Ladd A J C 1994 J. Fluid Mech. 271 311
[20] Aidun C K, Lu Y N 1995 J. Fluid Mech. 81 49
[21] Zhao Y, Ji Z Z, Feng T 2004 Acta Phys. Sin. 53 671 (in Chinese) [赵颖, 季仲贞, 冯涛 2004 53 671]
[22] Kang S K, Hassan Y A 2011 Comput. Fluids 49 36
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[1] Feng J, Hu H H, Joseph D D 1994 J. Fluid Mech. 261 95
[2] Aidun C K, Ding E J 2003 Phys. Fluids 15 1612
[3] Nie D M, Lin J Z 2010 Commun. Comput. Phys. 7 544
[4] Xia Z H, Kevin W C, Saikiran R, Yue P T, James J F, Chen S Y 2009 J. Fluid Mech. 625 249
[5] Chen X, Lam Y C, Wang Z Y 2008 Compos. Sci. Technol. 68 398
[6] Gan H, Chang J Z, James J F, Howard H H 2003 J. Fluid Mech. 481 385
[7] Gan H, Feng J J, Hu H H 2003 Int. J. Multiphas. Flow 29 751
[8] Yu Z, Shao X, Wachs A 2006 J. Comput. Phys. 271 424
[9] Dan C, Wachs A 2010 Int. J. Heat Fluid Fl. 31 1050
[10] Feng Z G, Michaelides E E 2008 Phys. Fluids 20 040604
[11] Liu H T, Tong Z H, An K, Ma L Q 2009 Acta Phys. Sin. 58 6369 (in Chinese) [刘汉涛, 仝志辉, 安康, 马理强 2009 58 6369]
[12] Liu H T, Chang J Z, An K, Su T X 2010 Acta Phys. Sin. 59 1877 (in Chinese) [刘汉涛, 常建忠, 安康, 苏铁熊 2010 59 1877]
[13] Qian Y H, D' Humieres D, Lallem P 1992 Europhys. Lett. 17 479
[14] Shi Y, Zhao T S, Guo Z L 2004 Phys. Rev. E 75 036704
[15] Zhang T, Shi B C, Guo Z L, Chai Z H, Lu J H 2012 Phys. Rev. E 85 016701
[16] Guo Z L, Zheng C G 2009 Theory and Applications of Lattice Boltzmann Method (Beijing:Science Press) p72 (in Chinese) [郭照立, 郑楚光 2009 格子Boltzmann方法的原理及应用(北京:科学出版社) 第72页]
[17] Guo Z L, Zheng C G, Shi B C 2002 Phys. Fluids 14 2007
[18] Ladd A J C 1994 J. Fluid Mech. 271 285
[19] Ladd A J C 1994 J. Fluid Mech. 271 311
[20] Aidun C K, Lu Y N 1995 J. Fluid Mech. 81 49
[21] Zhao Y, Ji Z Z, Feng T 2004 Acta Phys. Sin. 53 671 (in Chinese) [赵颖, 季仲贞, 冯涛 2004 53 671]
[22] Kang S K, Hassan Y A 2011 Comput. Fluids 49 36
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