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Published on: June 7, 2018
Lattice Boltzmann model for simulating temperature-sensitive ferrofluids.
Xiao-Dong Niu1, Hiroshi Yamaguchi, Keisuke Yoshikawa
1Department of Mechanical Engineering, Energy Conversion Research Center, Doshisha University, Kyoto 630-0321, Japan. xniu@mail.doshisha.ac.jp
Summary
A new lattice Boltzmann model simulates temperature-sensitive ferrofluids by incorporating magnetic fields and temperature gradients. This method accurately predicts thermomagnetic convection, showing promise for ferrofluid flow studies.
Area of Science:
- Fluid dynamics
- Magnetohydrodynamics
- Computational physics
Background:
- Ferrofluids exhibit temperature-dependent magnetic properties, crucial for applications.
- Simulating thermomagnetic convection in ferrofluids is complex.
- Existing models may not fully capture these coupled phenomena.
Purpose of the Study:
- To develop and validate a novel lattice Boltzmann model for simulating temperature-sensitive ferrofluids.
- To investigate the thermomagnetic natural convection of ferrofluids in a cubic cavity.
- To ensure numerical stability and accuracy in the simulation of magnetic fields.
Main Methods:
- Formulation of the lattice Boltzmann equation for magnetic field modeling using a scalar magnetic potential.
- Transformation of the elliptic equation for scalar potential into an advection-diffusion equation.
- Introduction of a preconditioning parameter for numerical stability.
- Numerical simulations of thermomagnetic natural convection in a cubic cavity.
Main Results:
- The lattice Boltzmann model successfully simulates temperature-sensitive ferrofluid behavior.
- Effective velocity is determined by the temperature gradient, influencing advection-diffusion.
- Numerical results show good agreement with experimental data for thermomagnetic convection.
- The preconditioning parameter aids in maintaining solution proximity to the elliptic equation.
Conclusions:
- The presented lattice Boltzmann model is a viable and promising tool for simulating temperature-sensitive ferrofluids.
- The model accurately captures the thermomagnetic natural convection phenomena.
- This approach offers a robust method for studying complex ferrofluid dynamics.
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