Lattice Boltzmann simulation for magnetic fluids in porous medium

A Lattice Boltzmann method is introduced to simulated magnetic fluids in porous medium. In the simulation, drag force and the other external forces are imported to the momentum equation. The influence of external magnetic field on thermo-sensitive magnetic fluids is expressed as a magnetic potential equation, which will be dispersed depending on the format of density and temperature. To test the reliability of the method, a validation with common fluid in porous medium is compared. Great agreement with previous results verified that the present lattice Boltzmann method is promising for simulating magnetic fluids in porous medium.