-
The conjugate heat transfer at the particle-fluid interface and the collision between particles play a crucial role in the sedimentation process of particles. In this work, the recent volumetric lattice Boltzmann method for thermal particulate flows with conjugate heat transfer is adopted to investigate the drafting-kissing-tumbling movement in the sedimentation process of two particles in a closed channel. This volumetric lattice Boltzmann method is based on double distribution functions, with the density distribution function for the velocity field and the internal energy distribution function for the temperature field. It is a single-domain approach, and the nonslip velocity condition within the solid domain can be strictly ensured. The difference in thermophysical properties between the solid and fluid can be correctly handled, and the conjugate heat transfer condition can be automatically achieved without any additional treatments. Based on this particle-resolved simulation, the influences of the solid-to-fluid specific heat ratio, the Grashof number, and the particle’s initial temperature on the drafting-kissing-tumbling movement are discussed in detail. It is found that the fluid cooled by the particle and thus subjected to the downward buoyancy force can promote particle sedimentation. As the specific heat ratio increases, the particle’s temperature rises relatively slowly. In the sedimentation of two cold particles, the drafting and tumbling durations of the drafting-kissing-tumbling movement decrease when the heat capacity ratio increases. In contrast, the kissing duration increases as the heat capacity ratio increases. When the Grashof number increases, the heat transfer between the particle and fluid is enhanced, and the drafting duration significantly decreases while the kissing and tumbling durations remain almost unchanged in the sedimentation of two cold particles. The particle’s initial temperature significantly influences the occurrence moment of the drafting-kissing-tumbling movement. To be specific, the drafting-kissing-tumbling movement occurs at the earliest moment for the sedimentation of two cold particles, followed by the sedimentation of one cold and one hot particle, and the latest for the sedimentation of two hot particles. The promoting effect of the low particle’s initial temperature on the drafting-kissing-tumbling movement mainly takes place in the dragging and kissing stages. The particle’s initial temperature has almost no influence on the tumbling duration.
-
[1] Yang G C, Jing L, Kwok C Y, Sobral Y D 2019 Comput. Geotech. 114 103100
[2] Wang Y F 2008 Special Oil & Gas Reservoirs 12 91 (In Chinese)[王尤富 2008 特种油气藏 12 91]
[3] Li H, Xue H, Zhang J, Zhang G 2023 Processes 11 2573
[4] Nie D, Lin J 2010 Commun. Comput. Phys. 7 544
[5] Uhlmann M 2005 J. Comput. Phys. 209 448
[6] Fortes A F, Joseph D D, Lundgren T S 1987 J. Fluid Mech. 177 467
[7] Wang Z, Fan J, Luo K 2008 Int. J. Multiphas. Flow 34 283
[8] Feng J, Hu H H, Joseph D D 1994 J. Fluid Mech. 261 95
[9] Wang L, Guo Z, Mi J 2014 Comput. Fluids 96 20
[10] Gan H, Chang J, Feng J J, Hu H H 2003 J. Fluid Mech. 481 385
[11] Tong Z-H 2010 Acta Phys. Sin. 59 1884(In Chinese)[仝志辉 2010 物理学报 59 1884]
[12] Mao W, Guo Z-L, Wang L 2013 Acta Phys. Sin. 62 084703(In Chinese)[毛威, 郭照立, 王亮 2013物理学报 62 084703]
[13] 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 2008 物理学报 59 1877]
[14] Yang B, Chen S, Cao C, Liu Z, Zheng C 2016 Int. J. Heat Mass Tran. 93 477
[15] Ström H, Sasic S 2015 Procedia Eng. 102 1563
[16] Feng Z-G, Michaelides E E 2004 J. Comput. Phys. 195 602
[17] Liu J, Huang C, Chai Z, Shi B 2022 Comput. Fluids 233 105240
[18] Shi D-Y, Wang Z-K, Zhang A M 2014 Acta Phys. Sin. 63 074703(In Chinese)[史冬岩, 王志凯, 张阿漫 2014 物理学报 63 074703]
[19] Sun D-K, Xiang N, Chen K, Ni Z-H 2013 Acta Phys. Sin. 62 024703(In Chinese)[孙东科, 项楠, 陈科, 倪中华 2013物理学报 62 024703]
[20] He X, Chen S, Doolen G D 1998 J. Comput. Phys. 146 282
[21] Zhang X, Wang D, Li Q, Huang R https://arxiv.org/abs/2410.23802
[22] Qian Y-H, d'Humières D, Lallemand P 1992 Europhys. Lett. 17 479
[23] Chai Z, Shi B 2020 Phys. Rev. E 102 023306
[24] Lallemand P, Luo L-S 2000 Phys. Rev. E 61 6546
[25] Huang R, Wu H 2016 J. Comput. Phys. 315 65
[26] Huang H, Yang X, Krafczyk M, Lu X-Y 2012 J. Fluid Mech. 692 369
[27] Suzuki K, Inamuro T 2011 Comput. Fluids 49 173
[28] Glowinski R, Pan T-W, Hesla T I, Joseph D D, Periaux J 2001 J. Comput. Phys. 169 363
Metrics
- Abstract views: 159
- PDF Downloads: 2
- Cited By: 0