Share This Article:

Slip Flow and Heat Transfer of Magnetic Fluids in Micro Porous Media Using a Lattice Boltzmann Method

Abstract PP. 1-17
DOI: 10.4236/oalib.1101165    1,545 Downloads   1,983 Views   Citations

ABSTRACT

In this paper, a Lattice Boltzmann method was used to simulate the flow of temperature-sensitive magnetic fluids in a micro porous cavity. According to Navier’s linear slip length model, slip boundary conditions were used on all the walls of the micro porous cavity. The effects of the horizontal slip length and the vertical slip length on the flow and heat transfer characteristics were investigated. The results showed that with the increase of the slip length, the velocities and their gradients became smaller, so the convection was harder to occur, and the temperature was more stable. On the walls, the effects of the slip lengths on the Nusselt numbers at the edges and at the centers were different, so the local heat transfer efficiencies were changed accordingly. It was also found that when the horizontal slip length was set to be zero, the flow developed from one vertex to two vortexes along the vertical direction with the increase of vertical slip length. The corresponding critical vertical slip length first increased and then decreased with the Rayleigh number and the magnetic Rayleigh number.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Chen, X. , Jin, L. and Zhang, X. (2014) Slip Flow and Heat Transfer of Magnetic Fluids in Micro Porous Media Using a Lattice Boltzmann Method. Open Access Library Journal, 1, 1-17. doi: 10.4236/oalib.1101165.

References

[1] Nield, D. and Bejan, A. (1998) Convection in Porous Media. Springer, New York.
[2] Miguel, A.F. (2012) Non-Darcy Porous Media Flow in No-Slip and Slip Regimes. Thermal Science, 16, 167-176.
http://dx.doi.org/10.2298/TSCI100929001M
[3] Guo, Z. and Zhao, T.S. (2005) Lattice Boltzmann Simulation of Natural Convection with Temperature-Dependent Viscosity in a Porous Cavity. Progress in Computational Fluid Dynamics, 5, 110-117.
http://dx.doi.org/10.1504/PCFD.2005.005823
[4] Park, J., Matsubara, M. and Li, X. (2007) Application of Lattice Boltzmann Method to a Micro-Scale Flow Simulation in the Porous Electrode of a PEM Fuel Cell. Journal of Power Sources, 173, 404-414.
http://dx.doi.org/10.1016/j.jpowsour.2007.04.021
[5] Wang, M. and Chen, S. (2007) Electroosmosis in Homogeneously Charger Micro- and Nanoscale Random Porous Media. Journal of Colloid and Interface Science, 314, 264-273.
http://dx.doi.org/10.1016/j.jcis.2007.05.043
[6] Wang M., Kang Q., Viswanathan, H. and Robinson, B.A. (2010) Modeling of Electro-Osmosis of Dilute Electrolyte Solutions in Silica Microporous Media. Journal of Geophysical Research, 115, B10205.
http://dx.doi.org/10.1029/2010JB007460
[7] Tang, G.H., Ye, P.X. and Tao, W.Q. (2010) Pressure-Driven and Electroosmotic Non-Newtonian Flows through Microporous Media via Lattice Boltzmann Method. Journal of Non-Newtonian Fluid Mechanics, 165, 1536-1542.
[8] Craig, V.S.J., Neto, C. and Williams, D.R.M. (2001) Shear-Dependent Boundary Slip in an Aqueous Newtonian Liquid. Physical Review Letters, 87, 054504.
http://dx.doi.org/10.1103/PhysRevLett.87.054504
[9] Zhu, Y.X. and Granick, S. (2001) Limits of the Hydrodynamic No-Slip Boundary Condition. Physical Review Letters, 88, Article ID: 054504.
[10] Cottin-Bizonne C., Cross B., Steinberger, A. and Charlaix, E. (2005) Boundary Slip on Smooth Hydrophobic Surfaces: Intrinsic Effects and Possible Artifacts. Physical Review Letters, 94, Article ID: 056102.
http://dx.doi.org/10.1103/PhysRevLett.94.056102
[11] Shirani, E. and Jafari, S. (2007) Application of LBM in Simulation of Flow in Simple Micro-Geometries and Micro Porous Media. African Physical Review, 1, 0002.
[12] Takenaka, S., Suga, K., Kinjo, T. and Hyodo, S. (2009) Flow Simulation in a Sub-Micro Porous Medium by the Lattice Boltzmann and the Molecular Dynamics Methods. The 7th International ASME Conference on Nanochannels, Microchannels and Minichannels, Pohang, 22-24 June 2009, 1-10.
[13] Suga, K., Takenaka, S., Kinjo, T. and Hyodo, S. (2009) LBM and MD Simulations of a Flow in a Nano-Porous Medium. 2nd Asian Symposium on Computational Heat Transfer and Fluid Flow, Jeju, 20-23 October 2009, 112-117.
[14] Thompson, P.A. and Troian, S.M (1997) A General Boundary Condition for Liquid Flow at Solid Surfaces. Nature, 389, 360-362.
http://dx.doi.org/10.1038/38686
[15] Sofonea, V. and Sekerka, R.F. (2005) Boundary Conditions for the Upwind Finite Difference Lattice Boltzmann Model: Evidence of Slip Velocity in Micro-Channel Flow. Journal of Computational Physics, 207, 639-659.
http://dx.doi.org/10.1016/j.jcp.2005.02.003
[16] Chen, S. and Tian, Z. (2010) Simulation of Thermal Micro-Flow Using Lattice Boltzmann Method with Langmuir Slip Model. International Journal of Heat and Fluid Flow, 31, 227-235.
http://dx.doi.org/10.1016/j.ijheatfluidflow.2009.12.006
[17] Yang, F. (2007) Flow Behavior of an Eyring Fluid in a Nanotube: The Effect of the Slip Boundary Condition. Applied Physics Letters, 90, Article ID: 133105.
http://dx.doi.org/10.1063/1.2717019
[18] Larrode, F.E., Housiadas, C. and Drossinos, Y. (2000) Slip-Flow Heat Transfer in Circular Tubes. International Journal of Heat and Mass Transfer, 43, 2669-2680.
http://dx.doi.org/10.1016/S0017-9310(99)00324-5
[19] Jin, L., Zhang, X. and Niu, X. (2011) Lattice Boltzmann Simulation for Temperature-Sensitive Magnetic Fluids in a Porous Square Cavity. Journal of Magnetism and Magnetic Materials, 324, 44-51.
http://dx.doi.org/10.1016/j.jmmm.2011.07.033
[20] Jin, L. and Zhang, X. (2013) Analysis of Temperature-Sensitive Magnetic Fluids in a Porous Square Cavity Depending on Different Porosity and Darcy Number. Applied Thermal Engineering, 50, 1-11.
http://dx.doi.org/10.1016/j.applthermaleng.2012.05.016

  
comments powered by Disqus

Copyright © 2019 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.