Particulate immersed boundary method for complex fluid-particle interaction problems with heat transfer

TL;DR

This paper extends a particulate immersed boundary method to simulate heat transfer in fluid-particle interactions, combining Lattice Boltzmann, immersed boundary, and discrete element methods for complex thermal multiphase flows.

Contribution

The study introduces a coupled LBM-PIBM-DEM scheme for thermal fluid-particle interactions, demonstrating its effectiveness through multiple case studies.

Findings

Good agreement with previous results in natural convection simulation

Captured temperature distribution and buoyancy effects in sedimentation

Validated scheme for complex heat transfer fluid-particle problems

Abstract

In our recent work [H. Zhang, F.X. Trias, A. Oliva, D. Yang, Y. Tan, Y. Sheng. PIBM: Particulate immersed boundary method for fluid-particle interaction problems. Powder Technology. 272(2015), 1-13.], a particulate immersed boundary method (PIBM) for simulating fluid-particle multiphase flow was proposed and assessed in both two- and three-dimensional applications. In this study, the PIBM was extended to solve thermal interaction problems between spherical particles and fluid. The Lattice Boltzmann Method (LBM) was adopted to solve the fluid flow and temperature fields, the PIBM was responsible for the non-slip velocity and temperature boundary conditions at the particle surface, and the kinematics and trajectory of the solid particles were evaluated by the Discrete Element Method (DEM). Four case studies were implemented to demonstrate the capability of the current coupling scheme. Firstly, numerical simulation of natural convection in a two-dimensional square cavity with an isothermal concentric annulus was carried out for verification purpose. The current results were found to have good agreements with previous references. Then, sedimentation of two- and three-dimensional isothermal particles in fluid was numerically studied, respectively. The instantaneous temperature distribution in the cavity was captured. The effect of the thermal buoyancy on particle behaviors was discussed. At last, sedimentation of three-dimensional thermosensitive particles in fluid was numerically investigated. Our results revealed that the LBM-PIBM-DEM is a promising scheme for the solution of complex fluid-particle interaction problems with heat transfer.