Simulation of Ferrofluid Heat Dissipation Effect on Natural Convection at an Inclined Cavity Filled with Kerosene/Cobalt Utilizing the Lattice Boltzmann Method

In this article, heat the dissipation effect of a ferrofluid on natural convection flow in an inclined cavity at the presence of an external magnetic source has been analyzed with the lattice Boltzmann method (LBM). The cavity is filled with the carrier fluid of kerosene and nanoscale ferromagnetic particle of cobalt. This study has been carried out for the pertinent parameters in the following ranges: the Rayleigh number of carrier fluid, Ra = 103–105, the volumetric fraction of nanoscale ferromagnetic particle between 0 and 4%, and inclined angles (θ = 0°, 30°, 60°, 90°, and 120°) is the size of the nanoscale ferromagnetic particle is fixed at 45 nm. Results show that the heat transfer decreases by the increment of the nanoscale ferromagnetic particle volume fraction for various Rayleigh numbers and inclined angles. The external magnetic source influences the nanoscale ferromagnetic particle at Ra = 104 more than other Raleigh numbers, as the least values were observed at Ra = 103. Just as the least value of heat transfer is obtained at the inclined angle of θ = 90° for multifarious Rayleigh numbers in the absence of nanoscale ferromagnetic particle of cobalt, so the least effect of the nanoscale ferromagnetic particle at Ra = 103 and 105 is perceived for it. Generally, the effective situation of heat dissipation ferrofluid is found at the inclined angle of θ = 0° among the studied inclined angles.

[1]  S. Du,et al.  Thermal flow of fluid with magnetic particles in the presence of magnetic field , 2010 .

[2]  Gh.R. Kefayati,et al.  Effect of a magnetic field on natural convection in an open cavity subjugated to water/alumina nanofluid using Lattice Boltzmann method , 2013 .

[3]  D. Ganji,et al.  Numerical Analysis of Turbulent Natural Convection in a Square Cavity using Large- Eddy Simulation in Lattice Boltzmann Method , 2012 .

[4]  H. Sajjadi,et al.  LATTICE BOLTZMANN SIMULATION OF TURBULENT NATURAL CONVECTION IN TALL ENCLOSURES , 2015 .

[5]  Patrick H. Oosthuizen,et al.  An Introduction to Convective Heat Transfer Analysis , 1998 .

[6]  H. Sajjadi,et al.  Lattice Boltzmann simulation of natural convection in tall enclosures using water/SiO2 nanofluid , 2011 .

[7]  T. Miyazaki,et al.  The Physics of Ferromagnetism , 2012 .

[8]  Majid Ghassemi,et al.  Effect of magnetic field on convection heat transfer inside a tilted square enclosure , 2009 .

[9]  W. Cheng,et al.  Synthesis and Characterization of Cobalt Nano-Particles Through Microwave Polyol Process , 2009 .

[10]  Mohsen Jahanshahi,et al.  Numerical simulation of free convection based on experimental measured conductivity in a square cavity using Water/SiO2 nanofluid , 2010 .

[11]  Stefan Odenbach,et al.  Magnetoviscous effects in ferrofluids , 2002 .

[12]  Gh.R. Kefayati,et al.  Lattice Boltzmann simulation of natural convection in nanofluid-filled 2D long enclosures at presence of magnetic field , 2012, Theoretical and Computational Fluid Dynamics.

[13]  H. Sajjadi,et al.  Lattice Boltzmann simulation of natural convection in an open enclosure subjugated to water/copper nanofluid , 2012 .

[14]  K. Khanafer,et al.  BUOYANCY-DRIVEN HEAT TRANSFER ENHANCEMENT IN A TWO-DIMENSIONAL ENCLOSURE UTILIZING NANOFLUIDS , 2003 .

[15]  Saiied M. Aminossadati,et al.  Magnetic field effect on natural convection in a nanofluid-filled square enclosure , 2011 .

[16]  Davood Domiri Ganji,et al.  Investigation of Prandtl number effect on natural convection MHD in an open cavity by lattice Boltzmann method , 2012 .

[17]  Gh.R. Kefayati,et al.  Lattice Boltzmann simulation of MHD natural convection in a nanofluid-filled cavity with sinusoidal temperature distribution , 2013 .

[18]  M. Gorji,et al.  Lattice Boltzmann Simulation of Turbulent Natural Convection in Tall Enclosures Using Cu/Water Nanofluid , 2012 .

[19]  Abdulmajeed A. Mohamad,et al.  A critical evaluation of force term in lattice Boltzmann method, natural convection problem , 2010 .

[20]  G. D. Davis Natural convection of air in a square cavity: A bench mark numerical solution , 1983 .

[21]  S. Ostrach Natural convection in enclosures , 1988 .

[22]  D. Ganji,et al.  Lattice Boltzmann simulation of MHD mixed convection in a lid-driven square cavity with linearly heated wall , 2012 .