Lattice Boltzmann model for simulating temperature-sensitive ferrofluids.
In this paper, a lattice Boltzmann model for simulating temperature-sensitive ferrofluids is presented. The lattice Boltzmann equation for modeling the magnetic field is formulated using a scalar magnetic potential. Introducing a time derivative into the original elliptic equation for the scalar potential leads to an advection-diffusion equation, with an effective velocity determined by the temperature gradient. The time derivative is multiplied by an adjustable preconditioning parameter to ensure that the lattice Boltzmann solution remain close to a solution of the original elliptic equation for the scalar potential. To test the present lattice Boltzmann model, numerical simulations for the thermomagnetic nature convection of the ferrofluids in a cubic cavity are carried out. Good agreement between the obtained results and experimental data shows that the present lattice Boltzmann model is promising for studying temperature-sensitive ferrofluid flows.
Niu
Xiao-Dong
XD
Department of Mechanical Engineering, Energy Conversion Research Center, Doshisha University, Kyoto 630-0321, Japan. xniu@mail.doshisha.ac.jp
Yamaguchi
Hiroshi
H
Yoshikawa
Keisuke
K