Investigation of Prandtl number effect on natural convection MHD in an open cavity by lattice Boltzmann method

Purpose – Magneto hydrodynamic (MHD) flows in fluids is known to have an important effect on heat transfer and fluid flow in various substances while the quality of the substances and the considered shapes can influence the amount of changes. Thus, MHD flows in a different form and widespread alterations in the kind of the material and the power of MHD flow were carried out by lattice Boltzmann method (LBM) in this investigation. The aim of this paper is to identify the ability of LBM for solving MHD flows as the effect of different substances in the presence of the magnetic field changes.Design/methodology/approach – This method was utilized for solving MHD natural convection in an open cavity while Hartmann number varies from 0 to 150 and Rayleigh number is considered at values of Ra=103, 104 and 105, with the Prandtl number altering in a wide range of Pr=0.025, 0.71 and 6.2. An appropriate validation with previous numerical investigations demonstrated that this attitude is a suitable method for MHD pro...

[1]  Ioan Pop,et al.  MHD mixed convection in a lid-driven cavity with corner heater , 2011 .

[2]  Kamel Hooman,et al.  Entropy generation for natural convection by heated partitions in a cavity , 2008 .

[3]  P. Dellar.  Lattice Boltzmann formulation for Braginskii magnetohydrodynamics , 2011 .

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

[5]  E. Bilgen,et al.  Laminar natural convection in inclined open shallow cavities , 2002 .

[6]  I. Sezai,et al.  Suppressing free convection from a flat plate with poor conductor ribs , 1999 .

[7]  Kamel Hooman,et al.  Heatline Visualization of Natural Convection in a Porous Cavity Occupied by a Fluid With Temperature-Dependent Viscosity , 2008 .

[8]  Mahmudur Rahman,et al.  Numerical study on the conjugate effect of joule heating and magnato-hydrodynamics mixed convection in an obstructed lid-driven square cavity☆ , 2010 .

[9]  B. Mondal,et al.  Simulation of Natural Convection in the Presence of Volumetric Radiation Using the Lattice Boltzmann Method , 2008 .

[10]  K. Hooman.  Energy flux vectors as a new tool for convection visualization , 2010 .

[11]  C. Tien,et al.  a Numerical Study of Two-Dimensional Natural Convection in Square Open Cavities , 1985 .

[12]  N. Rahim,et al.  Magnetohydrodynamic mixed convection in a horizontal channel with an open cavity , 2011 .

[13]  K. Kahveci,et al.  MHD natural convection flow and heat transfer in a laterally heated partitioned enclosure , 2009 .

[14]  Subhash C. Mishra,et al.  Lattice Boltzmann Method and Modified Discrete Ordinate Method Applied to Radiative Transport in a Spherical Medium with and without Conduction , 2010 .

[15]  Rachid Bennacer,et al.  Lattice Boltzmann simulation of natural convection in an open ended cavity , 2009 .

[16]  M. Y. Ha,et al.  An immersed boundary-thermal lattice Boltzmann method using an equilibrium internal energy density approach for the simulation of flows with heat transfer , 2010, J. Comput. Phys..

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

[18]  Davood Domiri Ganji,et al.  Natural Convection in a Nanofluids-Filled Portioned Cavity: The Lattice-Boltzmann Method , 2011 .

[19]  Ali J. Chamkha,et al.  Effect of magnetic field on natural convection flow in a liquid gallium filled square cavity for linearly heated side wall(s) , 2010 .

[20]  Patrick Le Quere,et al.  NUMERICAL CALCULATION OF THERMALLY DRIVEN TWO-DIMENSIONAL UNSTEADY LAMINAR FLOW IN CAVITIES OF RECTANGULAR CROSS SECTION , 1981 .

[21]  Abdulmajeed A. Mohamad,et al.  NATURAL CONVECTION IN OPEN CAVITIES AND SLOTS , 1995 .

[22]  Jinho Lee,et al.  Hydro-magnetic combined convection in a lid-driven cavity with sinusoidal boundary conditions on both sidewalls , 2011 .

[23]  Ching-Long Lin,et al.  A Simple Finite-Volume Formulation of the Lattice Boltzmann Method for Laminar and Turbulent Flows , 2010 .

[24]  Shahrir Abdullah,et al.  Simulation of natural convection heat transfer in an enclosure by the lattice-Boltzmann method , 2011 .

[25]  D. Ganji,et al.  Lattice Boltzmann simulation of MHD mixed convection in a two-sided lid-driven square cavity , 2012 .

[26]  M. A. Moussaoui,et al.  Lattice Boltzmann Simulation of Convective Heat Transfer from Heated Blocks in a Horizontal Channel , 2009 .

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

[28]  R. Das,et al.  Lattice Boltzmann Method Applied to the Analysis of Transient Conduction-Radiation Problems in a Cylindrical Medium , 2009 .