Immersed Boundary Method for Liquid-Solid Two-Phase Flow with Heat Transfer

In this paper, extended immersed boundary method (IBM) for liquid-solid two-phase flow with heat transfer is proposed. The velocity and pressure field are solved based on IBM of body force type. To treat heat transfer at the interphase, the temperature field is computed with the thermal conductivity modelled by considering the direction of interface and heat flux. Present heat conduction model is validated by heat conduction problem of compound cylinder. In addition, the numerical stability is improved by the predictor-corrector method. It enables the simulation of flow laden with solid particles of neutral density. Then, the applicability of present method is shown by direct numerical simulation of two-dimensional cavity flow including multiple particles, and the influences of particle size, layout and behavior for heat transfer properties are investigated.