Lattice Boltzmann method simulation for MHD non-Darcy nanofluid free convection

Abstract Magnetohydrodynamic nanofluid convective flow in cubic porous enclosure is reported. Lattice Boltzmann Method is selected as mesoscopic approach. Brownian motion impact is taken into account via KKL model. Roles of Darcy number ( D a ) , Hartmann number ( H a ) , Rayleigh number ( R a ) , and Al 2 O 3 volume fraction ( ϕ ) are presented. Outputs are illustrated in forms of velocity contours, isokinetic energy, streamlines, isotherms and Nusselt number. Results indicate that temperature gradient over the hot surface augments with rise of Darcy numbers and ϕ while it reduces with augment of Lorentz forces. Nusselt number enhances with increase of buoyancy forces and permeability of porous media. Nanofluid motion enhances with augment of ϕ , D a , R a while it decreases with augment of H a .

[1]  Mohsen Sheikholeslami Kandelousi.  KKL correlation for simulation of nanofluid flow and heat transfer in a permeable channel , 2014 .

[2]  Mohammad Mehdi Rashidi,et al.  A New Numerical Simulation of MHD Stagnation-Point Flow Over a Permeable Stretching/Shrinking Sheet in Porous Media with Heat Transfer , 2017 .

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

[4]  Tasawar Hayat,et al.  Numerical simulation of nanofluid forced convection heat transfer improvement in existence of magnetic field using lattice Boltzmann method , 2017 .

[5]  M. Sheikholeslami.  CuO-water nanofluid free convection in a porous cavity considering Darcy law , 2017 .

[6]  Mohsen Sheikholeslami,et al.  Magnetohydrodynamic nanofluid convection in a porous enclosure considering heat flux boundary condition , 2017 .

[7]  Mohsen Sheikholeslami,et al.  Influence of Lorentz forces on nanofluid flow in a porous cylinder considering Darcy model , 2017 .

[8]  M. Sheikholeslami,et al.  Two-Phase Simulation of Nanofluid Flow and Heat Transfer in an Annulus in the Presence of an Axial Magnetic Field , 2015, IEEE Transactions on Nanotechnology.

[9]  Puneet Rana,et al.  Lattice Boltzmann simulation of nanofluid heat transfer enhancement and entropy generation , 2016 .

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

[11]  A. Zeeshan,et al.  Analysis of flow and heat transfer in water based nanofluid due to magnetic field in a porous enclosure with constant heat flux using CVFEM , 2017 .

[12]  Mohsen Sheikholeslami,et al.  Magnetohydrodynamic nanofluid forced convection in a porous lid driven cubic cavity using Lattice Boltzmann method , 2017 .

[13]  Mohsen Sheikholeslami,et al.  Numerical modeling of nanofluid natural convection in a semi annulus in existence of Lorentz force , 2017 .

[14]  Q. Xue,et al.  Effect of interfacial layer on water flow in nanochannels: Lattice Boltzmann simulations , 2016 .

[15]  Tasawar Hayat,et al.  Numerical study for external magnetic source influence on water based nanofluid convective heat transfer , 2017 .

[16]  Mohammad Mehdi Rashidi,et al.  Numerical Study of Entropy Generation with Nonlinear Thermal Radiation on Magnetohydrodynamics non-Newtonian Nanofluid Through a Porous Shrinking Sheet , 2016 .

[17]  K. Vajravelu,et al.  Nanofluid flow and heat transfer in a cavity with variable magnetic field , 2017, Appl. Math. Comput..

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

[19]  R. Ellahi,et al.  Three dimensional mesoscopic simulation of magnetic field effect on natural convection of nanofluid , 2015 .

[20]  Mohsen Sheikholeslami,et al.  Thermal radiation of ferrofluid in existence of Lorentz forces considering variable viscosity , 2017 .

[21]  M. Sheikholeslami.  CVFEM for magnetic nanofluid convective heat transfer in a porous curved enclosure , 2016 .

[22]  M. M. Bhatti,et al.  Analytic study of heat transfer with variable viscosity on solid particle motion in dusty Jeffery fluid , 2016 .

[23]  Ali J. Chamkha,et al.  Electrohydrodynamic free convection heat transfer of a nanofluid in a semi-annulus enclosure with a sinusoidal wall , 2016 .

[24]  Mohsen Sheikholeslami Kandelousi.  Effect of spatially variable magnetic field on ferrofluid flow and heat transfer considering constant heat flux boundary condition , 2014 .

[25]  Mohammad Mehdi Rashidi,et al.  A mathematical model of MHD nanofluid flow having gyrotactic microorganisms with thermal radiation and chemical reaction effects , 2016, Neural Computing and Applications.

[26]  Mohammad Mehdi Rashidi,et al.  Numerical Simulation of Entropy Generation with Thermal Radiation on MHD Carreau Nanofluid towards a Shrinking Sheet , 2016, Entropy.

[27]  Z. Abbas,et al.  Natural convection in square cavity filled with ferrofluid saturated porous medium in the presence of uniform magnetic field , 2017 .

[28]  H. B. Rokni,et al.  Influence of EFD viscosity on nanofluid forced convection in a cavity with sinusoidal wall , 2017 .

[29]  Mohsen Sheikholeslami,et al.  Influence of magnetic field on nanofluid free convection in an open porous cavity by means of Lattice Boltzmann method , 2017 .

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

[31]  D. Ganji,et al.  Effect of thermal radiation on magnetohydrodynamics nanofluid flow and heat transfer by means of two phase model , 2015 .

[32]  Mohsen Sheikholeslami,et al.  Forced convection of nanofluid in presence of constant magnetic field considering shape effects of nanoparticles , 2017 .

[33]  Davood Domiri Ganji,et al.  Entropy generation of nanofluid in presence of magnetic field using Lattice Boltzmann Method , 2015 .

[34]  Mohsen Sheikholeslami,et al.  Influence of Coulomb forces on Fe3O4–H2O nanofluid thermal improvement , 2017 .

[35]  Mohammad Mehdi Rashidi,et al.  Numerical Simulation of Entropy Generation on MHD Nanofluid Towards a Stagnation Point Flow Over a Stretching Surface , 2017 .

[36]  Ali J. Chamkha,et al.  Flow and convective heat transfer of a ferro-nanofluid in a double-sided lid-driven cavity with a wavy wall in the presence of a variable magnetic field , 2016 .

[37]  Ali J. Chamkha,et al.  Influence of Lorentz forces on nanofluid forced convection considering Marangoni convection , 2017 .

[38]  A. Shahid,et al.  Numerical study of radiative Maxwell viscoelastic magnetized flow from a stretching permeable sheet with the Cattaneo–Christov heat flux model , 2017, Neural Computing and Applications.

[39]  Mohsen Sheikholeslami,et al.  Active method for nanofluid heat transfer enhancement by means of EHD , 2017 .

[40]  Sohail Nadeem,et al.  Convective heat transfer in MHD slip flow over a stretching surface in the presence of carbon nanotubes , 2015 .

[41]  M. Sheikholeslami,et al.  Fe3O4–H2O nanofluid natural convection in presence of thermal radiation , 2017 .

[42]  Mohsen Sheikholeslami,et al.  Nanofluid two phase model analysis in existence of induced magnetic field , 2017 .

[43]  Ioan Pop,et al.  Flow and heat transfer over a rotating porous disk in a nanofluid , 2011 .

[44]  Mohsen Sheikholeslami,et al.  Magnetic field influence on nanofluid thermal radiation in a cavity with tilted elliptic inner cylinder , 2017 .

[45]  Mohsen Sheikholeslami,et al.  Numerical simulation of magnetic nanofluid natural convection in porous media , 2017 .