International Scientific Journal

Thermal Science - Online First

online first only

The effect of uniform magnetic field on spatial-temporal evolution of thermocapillary convection with the silicon oil based ferrofluid fluid

A uniform axial or transverse magnetic field is applied on the silicon oil based ferrofluid of high Prandtl number fluid (Pr≈111.67), and the effect of magnetic field on the thermocapillary convection is investigated. It is shown that the location of vortex core of thermocapillary convection is mainly near the free surface of liquid bridge due to the inhibition of the axial magnetic field. A velocity stagnation region is formed inside the liquid bridge under the axial magnetic field (B=0.3-0.5T). The disturbance of bulk reflux and surface flow is suppressed by the increasing axial magnetic field. There is a dynamic response of free surface deformation to the axial magnetic field, and then the contact angle variation of the free surface at the hot corner is as following, φhot, B=0.5T=83.34°>φhot, B=0.3T =72.16°>φhot,B=0.1T=54.21°>φhot,B=0T=43.33°. The results show that temperature distribution near the free surface is less and less affected by thermocapillary convection with the increasing magnetic field, and it presents a characteristic of heat-conduction. In addition, the transverse magnetic field doesn't realize the fundamental inhibition for thermocapillary convection, but it transfers the influence of thermocapillary convection to the free surface.
PAPER REVISED: 2020-03-12
PAPER ACCEPTED: 2020-03-14
  1. Pablo,V. D., Rivas, D., Effect of an axial magnetic field on the flow pattern in a cylindrical floating zone, Advances in Space Research, 36(2005),36, pp. 48-56.
  2. Chedzey, H., Hurle, D., Avoidance of growth-striae in semiconductor and metal crystals grown by zone-melting techniques, Nature, 210(1966), 5039, pp. 933-934.
  3. Utech, H., Flemings, M., Elimination of solute banding in indium antimonide crystals by growth in a magnetic field, Journal of Applied Physics, 37(1966), 5, p.2021-2024.
  4. Kimura, H., et al., Magnetic field effects on float-zone Si crystal growth, Journal of Crystal Growth, 62(1983), 3, pp. 523-531.
  5. Dold, P., Croll, A., Benz, K., Floating-zone growth of silicon in magnetic fields. I. Weak static axial fields, Journal of Crystal Growth, 183(1998), 4, pp. 545-553.
  6. Croll, A., Szofran, F., Dold, P., Floating-zone growth of silicon in magnetic fields. II. Strong static axial fields, Journal of Crystal Growth, 183(1998), 4, pp. 554-563.
  7. Hakan, N. N., Öztop, A. F., Al-Salem, S. B. K., Numerical analysis of effect of magnetic field on combined surface tension and buoyancy driven convection in partially heated open enclosure, International Journal of Numerical Methods For Heat & Fluid Flow, 25(2015), 8, pp.1793-1817.
  8. Lan, C. W., Yeh, B. C., Three-dimensional simulation of heat flow, segregation, and zone shape in floating-zone silicon growth under axial and transversal magnetic fields, Journal of Crystal Growth, 262 (2004),1-4, pp. 59-71,
  9. Hermann R., Magnetic field controlled FZ single crystal growth of intermetallic compounds. Journal of Crystal Growth, 275(2005),1-2, pp. 1533-1538.
  10. Kaiser, T., Benz, K., Floating-zone growth of silicon in magnetic fields. III. Numerical simulation, Journal of Crystal Growth, 183(1998), 4, pp. 564-572.
  11. Yao L. P., et al., Three-dimensional unsteady thermocapillary flow under rotating magnetic field, Crystal Research and Technology, 47 (2012), 8, pp. 816-823.
  12. Peng, L., Gong, H., Effects of static magnetic fields on melt flow in detached solidification, Transactions of Nonferrous Metals Society of China, 25(2015), 3, pp. 936-943.
  13. Mokhtari, F., et al., Numerical investigation of magnetic field effect on pressure in cylindrical and hemispherical silicon CZ crystal growth, Crystal Research and Technology, 47(12): 1269-1278, 2012.
  14. Peng L., et al., Numerical simulation of thermocapillary convection in detached solidification under cusp magnetic field, Journal of Functional Materials, 1 (2014), 45, pp. 01049-01054.
  15. Osher, S., Sethian, J., Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations, Journal of Computational Physics, 79(1988), 1, pp.12-49.
  16. Sussman, M., Smereka, P., Osher, S., A level set approach for computing solutions to incompressible two-phase flow, Journal of Computational Physics, 114(1994), 1, pp. 146-159.
  17. Mulder, W., Osher, S., Sethian, J. A., Computing interface motion in compressible gas dynamics, Journal of Computational Physics, 100(1992), 2, pp. 209-228.