AbstractBy means of a hybrid lattice Boltzmann method, thermocapillary flow, driven by the surface tension owing to a horizontal temperature gradient along the interface in immiscible two-layer liquid system, is simulated numerically. The dynamic behavior of the interface is captured by using phase-field theory. The dependence of flow and interface deformation on the density ratio, Capillary number and aspect ratio, is investigated.
Ostrach S. Low gravity fluid flows. Ann Rev Fluid Mech 1982; 14: 313-345. http://dx.doi.org/10.1146/annurev.fl.14.010182.001525
Morton JL, Ma N, Bliss DF, Bryant GG. Magnetic field effects during liquid-encapsulated Czochralski growth of doped photonic semiconductor crystals. J Crystal Growth 2003; 250: 174-182. http://dx.doi.org/10.1016/S0022-0248(02)02261-3
Cha SS, Ramachandran N, Worek WM. Heat transfer of thermocapillary convection in a two-layered fluid system under the influence of magnetic field. Acta Astronautica 2009; 64: 1066-1079. http://dx.doi.org/10.1016/j.actaastro.2009.01.018
Doi T, Koster JN. Thermocapillary convection in two immiscible liquid layers with free-surface. Phys Fluids A 1993; 5: 1914-1927. http://dx.doi.org/10.1063/1.858817
Liu QS, Roux B, Velarde MG. Thermocapillary convection in two-layer systems. International Int J Heat Mass Transfer 1998; 41: 1499-1511. http://dx.doi.org/10.1016/S0017-9310(97)00277-9
Gupta NR, Haj-Hariri H, Borhan A. Thermocapillary flow in double-layer fluid structures: An effective single-layer model. J Colloid Interface Sci 2006; 293: 158-171. http://dx.doi.org/10.1016/j.jcis.2005.06.036
Koster JN. Early mission report on the four ESA facilities: biorack; Bubble, drop and particle unit; Critical point facility and advanced protein crystallization facility flown on the IML- 2 spacelab mission. ESA Microgravity News 1994; 7: 2-7.
Liu H, Valocchi AJ, Zhang Y, Kang Q. Phase-field-based lattice Boltzmann finite-difference model for simulating thermocapillary flows. Phys Rev E 2013; 87: 013010. http://dx.doi.org/10.1103/PhysRevE.87.013010
Penrose O, Fife PC. Thermodynamically consistent models of phase-field type for the kinetic of phase transitions. Physica D: Nonlinear Phenomena 1990; 43: 44-62. http://dx.doi.org/10.1016/0167-2789(90)90015-H
Brackbill JU, Kothe DB, Zemach C. A continuum method for modeling surface tension. J Comput Phys 1992; 100: 335-354. http://dx.doi.org/10.1016/0021-9991(92)90240-Y