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The influence on the motion of single solid particles in a Newtonian fluid by melting and convection is direcly simulated. The fluid motion is computed from the conservation laws. Density and viscosity change with fluid temperature, and the particle moves according to the equation of motion of a rigid body under the action of gravity and hydrodynamic forces arising from the motion of the fluid. In the process of melting, a distinctive morphology develops due to the different heat fluxes around the particle's surface, and the thermal gradient determines the melting rate. The phases are coupled by the fluid-particle mutual force , force moment and the boundary conditions. In our study, two different situations are carried out, which are sedimentation in isothermal fluid without thermal convection and melting; sedimentation with thermal convection and melting, two double particles are simulated separately. The results show that the vortex shedding arising by the natural convection, mass losing by melting and melting morphology change the sedimentation velocity and induce horizontal oscillation.
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Keywords:
- melting /
- two-phase flows /
- direct numerical simulation /
- sedimentation
[1] Juric D, Tryggvason G 1998 Int. J. Multiphase Flow. 24 387
[2] Guardo A, Coussirat M 2007 Chemical Engineering Science 62 5503
[3] McLeod, P , Riley D S 1996 J. Fluid Mech. 327 393
[4] Shigeo A, Hideo I 2001 Int. J. Therm. Sci. 40 724
[5] Mezhericher M, Levy A, Borde I 2008 Chem. Eng. Sci. 63 12
[6] Zhao S Y, Xue M S 2006 J. Comput. Phys. 217 424
[7] Hao Y, Prosperetti A 1998 APS/DFD Annual Meeting, Philadelphia.
[8] Feng, Hu, Joseph D D1994 J. Fluid Mech. 261 95
[9] Hu, Joseph D D 1992 Fluid Dyn. 3 285
[10] Gan H, Chang J Z, Hu F 2003 J. Fluid. Mech. 481 385
[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 物理学报 58 6369]
[12] Liu H T, Chang J Z, Zn K, Su T X 2010 Acta Phys. Sin. 59 1877 (in China) [刘汉涛, 常建忠, 安康, 苏铁熊 2010 物理学报 59 1877]
[13] Kuehn, Goldstein 1976 J. Fluid Mech. 74 695
[14] McLeod P, Riley D S, Sparks R S J 1996 J. Fluid Mech. 327 393
[15] Kerr, R C 1994 J. Fluid Mech. 280 255
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[1] Juric D, Tryggvason G 1998 Int. J. Multiphase Flow. 24 387
[2] Guardo A, Coussirat M 2007 Chemical Engineering Science 62 5503
[3] McLeod, P , Riley D S 1996 J. Fluid Mech. 327 393
[4] Shigeo A, Hideo I 2001 Int. J. Therm. Sci. 40 724
[5] Mezhericher M, Levy A, Borde I 2008 Chem. Eng. Sci. 63 12
[6] Zhao S Y, Xue M S 2006 J. Comput. Phys. 217 424
[7] Hao Y, Prosperetti A 1998 APS/DFD Annual Meeting, Philadelphia.
[8] Feng, Hu, Joseph D D1994 J. Fluid Mech. 261 95
[9] Hu, Joseph D D 1992 Fluid Dyn. 3 285
[10] Gan H, Chang J Z, Hu F 2003 J. Fluid. Mech. 481 385
[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 物理学报 58 6369]
[12] Liu H T, Chang J Z, Zn K, Su T X 2010 Acta Phys. Sin. 59 1877 (in China) [刘汉涛, 常建忠, 安康, 苏铁熊 2010 物理学报 59 1877]
[13] Kuehn, Goldstein 1976 J. Fluid Mech. 74 695
[14] McLeod P, Riley D S, Sparks R S J 1996 J. Fluid Mech. 327 393
[15] Kerr, R C 1994 J. Fluid Mech. 280 255
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