Investigation On Flow And Heat Transport Of Magnetic Fluids By The 3D Lattice Boltzmann Method

The lattice Boltzmann method, which is a novel approach of numerical simulation for fluid hydrodynamics, originates from the discrete movement theory and statistic physics and has been applied to simulate the flow and heat transfer processes of the fluid. A 3D incompressible Lattice Boltzmann model (D3Q15) is proposed in this paper to investigate the characteristics of magnetic fluids. In order to solve incompressible thermal flow problems the relevant 3D thermal Lattice Boltzmann model is also established.The Lattice Boltzmann method is introduced systematically in this paper. The methods dealing with force term and the Lattice Boltzmann fractional volumetric scheme dealing with low viscosity cases are also introduced. Then basic properties of magnetic fluids are described as well as detailed analysis of force terms of magnetic nanofluids. Based on mentioned-before theories, the 3D Lattice Boltzmann models for magnetic fluids are established to simulate the mesoscaled structure, thermomagnetic convection as well as flow and heat transfer processes in rectangular channel for the magnetic fluids. The effects of the characteristics of the external magnetic field on magnetic fluids are analyzed.Numerical results show that the Lattice Boltzmann method can effectively deal with the complex forces acting on the magnetic nanoparticles on the mesoscale level, and simulate the complicated flow and heat transfer behavior of magnetic fluids.