Mohammad Hassan Rahimian

University of Tehran, School of Mechanical Engineering



Thermal behavior of a droplet in an artificial porous media is investigated using the Lattice Boltzmann Method (LBM). In this work two-phase flow has been simulated by the Lee method [1-3] which is based on the Chan Hilliard binary fluid theory and contact angle between solid, liquid and gas phases has been considered in the simulations. Also to apply the thermal effects, passive scalar TLBM approach in single-phase has been merged with two-phase LBE model. In this model, the fluid dynamics are simulated by an isothermal LBE and temperature field is determined by an additional passive scalar equation and the coupling of these two parts is through a suitably defined body force term in the isothermal LBE. Porous medium is generated with random distribution of solid rods in the computational field such a way that there is not any regular distribution of particles in the media. Porous obstacles supposed to be in constant temperature and droplet was injected within it. Investigat!

ion on different thermal and hydrodynamic parameters such as the Prandtl number, the Reynolds number, the Weber number, density and viscosity ratios,  in droplet cooling/heating is presented in this paper.



[ 1]         T. Lee, Effects of incompressibility on the elimination of parasitic currents in the lattice Boltzmann equation method for binary fluids, Comput. Math. Appl. 58 (2009) 987-994.

[ 2]         T. Lee, L. Liu, Lattice Boltzmann simulations of micron-scale drop impact on dry surfaces, J. Comput. Phys. 229 (2010) 8045–8063.

[ 3]         T. Lee, C.L. Lin, A stable discretization of the lattice Boltzmann equation for simulation of incompressible two-phase flows at high density ratio, J. Comput. Phys. 206 (2005) 16–47.