Lattice Boltzmann Method for simulation of magnetic field effect on hydrothermal behavior of nanofluid in a cubic cavity
Lattice Boltzmann Method for simulation of magnetic field effect on hydrothermal behavior of nanofluid in a cubic cavity
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DOI:
10.1016/j.physa.2015.03.009
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发表时间:
2015-08
影响因子:
3.3
通讯作者:
M. Sheikholeslami;M. G. Bandpy;H. Ashorynejad
中科院分区:
文献类型:
--
作者:
M. Sheikholeslami;M. G. Bandpy;H. Ashorynejad
The article duplicates significant parts of a paper that had already appeared in the Journal of Magnetism and Magnetic Materials 369 (2014) 69–80 http://dx. doi. org/10.1016/j. jmmm. 2014.06. 017. One of the conditions of submission of a paper for publication is that authors declare explicitly that the paper has not been previously published and is not under consideration for publication elsewhere. As such this article represents a misuse of the scientific publishing system. The scientific community takes a very strong view on this matter and apologies are offered to readers of the journal that this was not detected during the submission process.Physica A 432 (2015) 58–70 Contents lists available at ScienceDirect Physica A journal homepage: www. elsevier. com/locate/physa Lattice Boltzmann Method for simulation of magnetic field effect on hydrothermal behavior of nanofluid in a cubic cavity Mohsen Sheikholeslami a, ∗, Mofid Gorji Bandpy a, Hamid Reza Ashorynejad ba Department of Mechanical Engineering, Babol University of Technology, Babol, Islamic Republic of Iran b Department of Mechanical Engineering, University of Guilan, Rasht, Islamic Republic of Iran highlights • LBM is applied to solve the governing equations. • Effect of magnetic field is studied in a cubic cavity. • Nu increases with increase of φ and Ra. • Nu decreases with increase of Ha. articleinfo Article history: Received 22 December 2014 Received in revised form 13 February 2015 Available online 16 March 2015 Keywords: Lattice Boltzmann Method Cubic cavity MHD Nanofluid Free convection Heat transfer abstract In this study, Lattice Boltzmann Method is applied in order to simulate the magnetic field effect onnanofluid flowand convective heat transfer in a cubic cavity. The enclosure is filled with Al2O3–water nanofluid. Koo–Kleinstreuer–Li correlation is applied to calculate the effective viscosity and thermal conductivity of nanofluid. The effects of active parameters such as Hartmann number, nanoparticle volume fraction and Rayleigh number on flow and heat transfer have been examined. Results indicate that enhancement in heat transfer has direct relationship with Hartmann number while it has inverse relationship with Rayleigh number. Nusselt number increases with increase of nanoparticle volume fraction and Rayleigh number while it decreases with increase of Hartmann number. © 2015 Elsevier BV All rights reserved. 1. Introduction Lattice Boltzmann method (LBM) has been established to be a very effective numerical tool for a broad variety of complex fluid flow phenomena that are problematic for conventional methods. The kinetic nature of the LBM separates it from other numerical methods mainly in three aspects. First, the convection operator of the LBM is linear in velocity space so computational efforts are greatly reduced as compared to those of some macroscopic CFD methods such as the Navier–Stokes equation solvers. Second, the pressure of the LBM can be directly calculated using an equation of state, unlike the direct numerical simulation of the incompressible Navier–Stokes equations, in which the pressure must be obtained from the Poisson equation. Third, the LBM utilizes a minimal set of velocities in phase space, therefore the transformation relating the microscopic distribution function and macroscopic quantities is greatly simplified. Mohamad and Kuzmin [1] used Lattice Boltzmann Method (LBM) to present a detailed analysis of natural convection problem. They showed the high efficiency of the LBM in simulating Natural convection. Free convection heat transfer in a concentric annulus between a cold ∗Corresponding …