Lattice Boltzmann method for MHD natural convection heat transfer using nanofluid

Abstract Lattice Boltzmann method is used to investigate magnetohydrodynamic flow utilizing Cu–water nanofluid in a concentric annulus. This investigation was compared with other numerical methods and found to be in excellent agreement. Numerical results for flow and heat transfer characteristics are obtained for various values of Hartmann number ( Ha  = 0 to 40), nanoparticle volume fraction ( ϕ  = 0, 0.02, 0.04 and 0.06), Rayleigh number ( Ra  = 10 4 ,10 5 and 10 6 ) and aspect ratio ( λ  = 1.5 to 4.5). Results proved that enhancement ratio increases with decrease of Rayleigh number and it increases with augment of Hartmann number. Also it can be concluded that Nusselt number has a direct relationship with nanoparticle volume fraction, Rayleigh number and it has a reverse relationship with Hartmann number.

[1]  Yuying Yan,et al.  Numerical simulation of heat transfer and fluid flow past a rotating isothermal cylinder – A LBM approach , 2008 .

[2]  Davood Domiri Ganji,et al.  Effect of a magnetic field on natural convection in an inclined half-annulus enclosure filled with Cu–water nanofluid using CVFEM , 2013 .

[3]  M. Gorji-Bandpy,et al.  Two phase simulation of nanofluid flow and heat transfer using heatline analysis , 2013 .

[4]  Davood Domiri Ganji,et al.  Application of LBM in simulation of natural convection in a nanofluid filled square cavity with curve boundaries , 2013 .

[5]  Davood Domiri Ganji,et al.  Effect of magnetic field on Cu–water nanofluid heat transfer using GMDH-type neural network , 2013, Neural Computing and Applications.

[6]  V. Babu,et al.  Simulation of high Rayleigh number natural convection in a square cavity using the lattice Boltzmann method , 2006 .

[7]  R. Ellahi.  The effects of MHD and temperature dependent viscosity on the flow of non-Newtonian nanofluid in a pipe: Analytical solutions , 2013 .

[8]  Davood Domiri Ganji,et al.  Nanofluid Flow in a Semi-porous Channel in the Presence of Uniform Magnetic Field , 2013 .

[9]  H. Yoon,et al.  A numerical study of natural convection in a square enclosure with a circular cylinder at different vertical locations , 2008 .

[10]  Davood Domiri Ganji,et al.  Heat transfer of Cu-water nanofluid flow between parallel plates , 2013 .

[11]  Davood Domiri Ganji,et al.  Magnetic field effect on nanofluid flow and heat transfer using KKL model , 2014 .

[12]  M. Gorji-Bandpy,et al.  Free convection of nanofluid filled enclosure using lattice Boltzmann method (LBM) , 2013 .

[13]  Davood Domiri Ganji,et al.  Natural convection in a nanofluid filled concentric annulus between an outer square cylinder and an inner elliptic cylinder , 2013 .

[14]  A. Mujumdar,et al.  Heat transfer characteristics of nanofluids: a review , 2007 .

[15]  Davood Domiri Ganji,et al.  Magnetic field effects on natural convection around a horizontal circular cylinder inside a square enclosure filled with nanofluid , 2012 .

[16]  J. Boon.  The Lattice Boltzmann Equation for Fluid Dynamics and Beyond , 2003 .

[17]  Davood Domiri Ganji,et al.  MHD natural convection in a nanofluid filled inclined enclosure with sinusoidal wall using CVFEM , 2012, Neural Computing and Applications.

[18]  Kannan M. Munisamy,et al.  The effect of step height of microscale backward-facing step on mixed convection nanofluid flow and heat transfer characteristics , 2014 .

[19]  H. Oztop,et al.  Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids , 2008 .

[20]  Wanxie Zhong,et al.  Improved precise integration method for differential Riccati equation , 2013 .

[21]  Mohammad Mehdi Rashidi,et al.  Magnetohydrodynamic biorheological transport phenomena in a porous medium: A simulation of magnetic blood flow control and filtration , 2011 .

[22]  Davood Domiri Ganji,et al.  Three dimensional heat and mass transfer in a rotating system using nanofluid , 2014 .

[23]  Ruey-Jen Yang,et al.  Simulating oscillatory flows in Rayleigh–Bénard convection using the lattice Boltzmann method , 2007 .

[24]  G. Domairry,et al.  An analytical solution for boundary layer flow of a nanofluid past a stretching sheet , 2011 .

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

[26]  Ronald M. Barron,et al.  Effect of a magnetic field on free convection in a rectangular enclosure , 1995 .

[27]  Rahmat Ellahi,et al.  Series solutions of non-Newtonian nanofluids with Reynolds' model and Vogel's model by means of the homotopy analysis method , 2012, Math. Comput. Model..

[28]  Davood Domiri Ganji,et al.  Numerical investigation of MHD effects on Al2O3–water nanofluid flow and heat transfer in a semi-annulus enclosure using LBM , 2013 .

[29]  Davood Domiri Ganji,et al.  Natural convection heat transfer in a cavity with sinusoidal wall filled with CuO–water nanofluid in presence of magnetic field , 2014 .

[30]  P. Dellar.  Lattice Kinetic Schemes for Magnetohydrodynamics , 2002 .

[31]  Davood Domiri Ganji,et al.  Heat flux boundary condition for nanofluid filled enclosure in presence of magnetic field , 2014 .

[32]  Davood Domiri Ganji,et al.  Nanofluid flow and heat transfer in a rotating system in the presence of a magnetic field , 2014 .

[33]  Davood Domiri Ganji,et al.  Analytical investigation of MHD nanofluid flow in a semi-porous channel , 2013 .

[34]  Mohammad Mehdi Rashidi,et al.  Entropy generation in steady MHD flow due to a rotating porous disk in a nanofluid , 2013 .

[35]  Y. Xuan,et al.  Investigation on Convective Heat Transfer and Flow Features of Nanofluids , 2003 .

[36]  Hussein A. Mohammed,et al.  Influence of geometrical parameters and forced convective heat transfer in transversely corrugated circular tubes , 2013 .

[37]  Davood Domiri Ganji,et al.  Natural convection of nanofluids in an enclosure between a circular and a sinusoidal cylinder in the presence of magnetic field , 2012 .

[38]  Rahmat Ellahi,et al.  Effects of MHD on Cu–water nanofluid flow and heat transfer by means of CVFEM , 2014 .

[39]  W. Shyy,et al.  Viscous flow computations with the method of lattice Boltzmann equation , 2003 .

[40]  Davood Domiri Ganji,et al.  Natural convection heat transfer in a nanofluid filled semi-annulus enclosure ☆ , 2012 .

[41]  Cha'o-Kuang Chen,et al.  Natural convection heat transfer performance in complex-wavy-wall enclosed cavity filled with nanofluid , 2012 .