Magnetohydrodynamics flow and heat transfer of Cu-water nanofluid through a partially porous wavy channel

Abstract In this paper, the lattice Boltzmann method is applied to investigate the effects of uniform vertical magnetic field on thermo-hydrodynamics of nanofluid in a partially porous channel. Cu-water nanofluid with constant pressure gradient is forced to flow into the channel while the top wall is heated by constant heat flux and bottom wavy wall of the channel is insulated against heat. The porous media is modeled using the Brinkman–Forchheimer model. Good agreements with the previous results verify that the selected numerical method is a capable method for simulating magnetic fluids in a porous media. The effects of active parameters, i.e. solid volume fraction of nanoparticles, pressure gradient, magnetic field and permeability of the porous layer, on thermo-hydrodynamics of flow are examined. The results reveal that the Nusselt number is an increasing function of nanoparticle volume fraction, Hartmann number, pressure gradient and Darcy number, although the effect of Darcy numbers and pressure gradient on the temperature profile are more noticeable than others.

[1]  A. Warey,et al.  Heat transfer enhancement and thermal–hydraulic performance in laminar flows through asymmetric wavy walled channels , 2016 .

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

[3]  C. Kleinstreuer,et al.  Thermal performance of nanofluid flow in microchannels , 2008 .

[4]  M. Farhadi,et al.  Numerical study of Prandtl effect on MHD flow at a lid‐driven porous cavity , 2012 .

[5]  Hui Tang,et al.  Simulation of natural convection and entropy generation of non-Newtonian nanofluid in a porous cavity using Buongiorno’s mathematical model , 2017 .

[6]  Mohsen Sheikholeslami,et al.  Magnetic field effects on natural convection flow of a nanofluid in a horizontal cylindrical annulus using Lattice Boltzmann method , 2013 .

[7]  H. Shokouhmand,et al.  Investigation of a nanofluid-cooled microchannel heat sink using Fin and porous media approaches , 2009 .

[8]  Sauro Succi,et al.  Finite volume formulation of thermal lattice Boltzmann method , 2014 .

[9]  Mohammad O. Hamdan,et al.  Enhancing forced convection by inserting porous substrate in the core of a parallel‐plate channel , 2000 .

[10]  P. Omidvar,et al.  Analysis of Thermal Flow in a Rotating Porous U-Turn Duct Using Lattice Boltzmann Method , 2016, Transport in Porous Media.

[11]  Po-Kai Tseng,et al.  Numerical optimization of heat transfer enhancement in a wavy channel using nanofluids , 2014 .

[12]  Chi-Chang Wang,et al.  FORCED CONVECTION IN A WAVY-WALL CHANNEL , 2002 .

[13]  Thirumalachari Sundararajan,et al.  A cell model approach for thermal conductivity of nanofluids , 2008 .

[14]  Zhaoli Guo,et al.  Lattice Boltzmann model for incompressible flows through porous media. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[15]  Frank P. Incropera,et al.  Fundamentals of Heat and Mass Transfer , 1981 .

[16]  K. Javaherdeh,et al.  Entropy Generation of Nanofluid in a Porous Cavity by Lattice Boltzmann Method , 2017 .

[17]  Wei Shyy,et al.  Force evaluation in the lattice Boltzmann method involving curved geometry. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[18]  Flávio Augusto Sanzovo Fiorelli,et al.  Review of the mechanisms responsible for heat transfer enhancement using nanofluids , 2016 .

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

[20]  Gh.R. Kefayati,et al.  Simulation of heat transfer and entropy generation of MHD natural convection of non-Newtonian nanofluid in an enclosure , 2016 .

[21]  Hamid Reza Ashorynejad,et al.  The effect of pulsating pressure on the performance of a PEM fuel cell with a wavy cathode surface , 2016 .

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

[23]  D. Ganji,et al.  Transport of Magnetohydrodynamic nanofluid in a porous media , 2017 .

[24]  Hamid Reza Ashorynejad,et al.  Magnetic field effects on force convection flow of a nanofluid in a channel partially filled with porous media using Lattice Boltzmann Method , 2014 .

[25]  D. Ganji,et al.  Numerical approach for magnetic nanofluid flow in a porous cavity using CuO nanoparticles , 2017 .

[26]  Yahya Sheikhnejad,et al.  LAMINAR FORCED CONVECTION OF FERROFLUID IN A HORIZONTAL TUBE PARTIALLY FILLED WITH POROUS MEDIA IN THE PRESENCE OF A MAGNETIC FIELD , 2015 .

[27]  Q. Zou,et al.  On pressure and velocity boundary conditions for the lattice Boltzmann BGK model , 1995, comp-gas/9611001.

[28]  Sauro Succi,et al.  Lattice Boltzmann modeling of water entry problems , 2014 .

[29]  Kh. Hosseinzadeh,et al.  Numerical study of MHD two-phase Couette flow analysis for fluid-particle suspension between moving parallel plates , 2014 .

[30]  Haisheng Chen,et al.  Forced convective heat transfer of nanofluids , 2007 .

[31]  Gh.R. Kefayati,et al.  Heat transfer and entropy generation of natural convection on non-Newtonian nanofluids in a porous cavity , 2016 .

[32]  Sauro Succi,et al.  Hydrodynamics in Porous Media: A Finite Volume Lattice Boltzmann Study , 2013, Journal of Scientific Computing.

[33]  Takeshi Seta,et al.  Lattice Boltzmann simulation of natural convection in porous media , 2006, Math. Comput. Simul..

[34]  Hamid Reza Ashorynejad,et al.  Investigation of different nanofluids effect on entropy generation on natural convection in a porous cavity , 2017 .

[35]  Chuguang Zheng,et al.  Thermal lattice Boltzmann equation for low Mach number flows: decoupling model. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[36]  S. Ergun.  Fluid flow through packed columns , 1952 .

[37]  B J Bellhouse,et al.  A HIGH EFFICIENCY MEMBRANE OXYGENATOR AND PULSATILE PUMPING SYSTEM, AND ITS APPLICATION TO ANIMAL TRIALS , 1973, Transactions - American Society for Artificial Internal Organs.

[38]  N. Looije,et al.  Assessment of interaction potential in simulating nonisothermal multiphase systems by means of lattice Boltzmann modeling. , 2015, Physical review. E, Statistical, nonlinear, and soft matter physics.

[39]  Bengt Sundén,et al.  Plate Heat Exchangers: Design, Applications and Performance , 2007 .

[40]  I. Orlanski.  A Simple Boundary Condition for Unbounded Hyperbolic Flows , 1976 .

[41]  J. Maxwell.  A Treatise on Electricity and Magnetism , 1873, Nature.

[42]  D. Ganji,et al.  Analytical investigation of Jeffery-Hamel flow with high magnetic field and nanoparticle by Adomian decomposition method , 2012 .

[43]  A. Hussein,et al.  Lattice Boltzmann simulation of natural convection heat transfer in an open enclosure filled with Cu–water nanofluid in a presence of magnetic field , 2014 .

[44]  H. Brinkman.  The Viscosity of Concentrated Suspensions and Solutions , 1952 .

[45]  Stefano Ubertini,et al.  Finite-volume lattice Boltzmann modeling of thermal transport in nanofluids , 2013 .

[46]  Thermohydrodynamics of an evaporating droplet studied using a multiphase lattice Boltzmann method. , 2017, Physical review. E.

[47]  B. Shi,et al.  An extrapolation method for boundary conditions in lattice Boltzmann method , 2002 .

[48]  K. Javaherdeh,et al.  Investigation of a waveform cathode channel on the performance of a PEM fuel cell by means of a pore-scale multi-component lattice Boltzmann method , 2016 .

[49]  Tien-Chien Jen,et al.  Developing fluid flow and heat transfer in a channel partially filled with porous medium , 2005 .

[50]  Xin-Rong Zhang,et al.  Lattice Boltzmann simulation for temperature-sensitive magnetic fluids in a porous square cavity , 2012 .

[51]  Chiara Biscarini,et al.  POROUS SUBSTRATE EFFECTS ON THERMAL FLOWS THROUGH A REV-SCALE FINITE VOLUME LATTICE BOLTZMANN MODEL , 2014 .

[52]  Mohd Zamri Yusoff,et al.  Numerical investigations on the heat transfer enhancement in a wavy channel using nanofluid , 2012 .