Lattice Boltzmann Method for Single Phase Heat Transfer and Two Phase Drop & Bubble Dynamics

Abstract

A Lattice Boltzmann Method (LBM) has been adopted for modelling and simulation of single phase heat transfer and multiphase flow dynamics. At first the energy equation in a test problem involving thermal conduction has been solved and then an investigation has been made about the suitability of scalar diffusion in LBM for a new class of problems. This is a 2D steady state single phase conduction heat transfer problem with dirichlet boundary conditions. Parametric study has been made by varying different boundary conditions and temperature contours are plotted. Then the hydrodynamics of water drop in a moving liquid is studied. Velocity of the liquid flowing in the channel is varied to establish the effect of medium velocity on final shape and motion of the drop. Diffuse interface concept is adopted to track the interfacial dynamics. Thirdly, the hydrodynamics of a bubble in a stationary medium in a rectangular channel have been investigated by varying the size of the channel. At last, numerical simulation of an air bubble and water drop in an inclined rectangular is also studied. The effects of channel inclination, and bubble size on the shape of the bubble have also been studied.