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Lattice Boltzmann Simulation of MHD Natural Convection Heat Transfer of Cu-Water Nanofluid in a Linearly/Sinusoidally Heated Cavity

Authors: Bouchmel Mliki, Chaouki Ali, Mohamed Ammar Abbassi

Abstract:

In this numerical study, natural convection of Cu–water nanofluid in a cavity submitted to different heating modes on its vertical walls is analyzed. Maxwell-Garnetts (MG) and Brinkman models have been utilized for calculating the effective thermal conductivity and dynamic viscosity of nanofluid, respectively. Influences of Rayleigh number (Ra = 103−106), nanoparticle volume concentration (f = 0-0.04) and Hartmann number (Ha = 0-90) on the flow and heat transfer characteristics have been examined. The results indicate that the Hartmann number influences the heat transfer at Ra = 106 more than other Raleigh numbers, as the least effect is observed at Ra = 103. Moreover, the results show that the solid volume fraction has a significant influence on heat transfer, depending on the value of Hartmann, heat generation or absorption coefficient and Rayleigh numbers.

Keywords: Heat transfer, linearly/sinusoidally heated, Lattice Boltzmann Method, natural convection, nanofluid.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.3669174

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References:


[1] M. Sheikholeslami, M. G. Bandpay and D.D. Ganji, “Investigation of nanofluid flow and heat transfer in presence of magnetic field using KKL model,” Arab.J. Sci. Eng, vol. 39, 2014, pp. 5007–5016.
[2] M. Sheikholeslami, M. GorjiBandpy, R. Ellahi, Mohsan Hassan and Soheil Soleimani, “Effects of MHD on Cu–water nanofluid flow and heat transfer by means of CVFEM,” J. Magn. Magn.Mater, vol. 349, 2014, pp.188–200.
[3] M. Sheikholeslami, M. Gorji-Bandpy, D.D. Ganji, Soheil Soleimani and S.M. Seyyedi, “Natural convection of nanofluids in an enclosure between a circular and a sinusoidal cylinder in the presence of magnetic field, ” Int. Commun. Heat Mass Transfer, vol. 39, 2012, pp. 1435–1443.
[4] M. Sheikholeslami, M. Gorji-Bandpy, D.D. Ganji and Soheil Soleimani, “Heat flux boundary condition for nanofluid filled enclosure in presence of magnetic field,” J. Mol. Liq, vol. 193, 2014, pp. 174–184.
[5] M. Sheikholeslami, M. Gorji-Bandpy, R. Ellahi and A. Zeeshan, Simulation of MHD CuO–water nanofluid flow and convective heat transfer considering Lorentz forces,” J. Magn. Magn.Mater, vol. 369, 2014, pp. 69–80.
[6] B. Mliki, M. A. Abbassi and A. Omri, “Lattice Boltzmann Simulation of MHD Double Dispersion Natural Convection in a C-shaped Enclosure in the Presence of a Nanofluid,” Fluid Dynamic and Material Processing, vol. 87, 2015, pp. 87-114.
[7] B. Mliki, M. A. Abbassi, A. Omri and B. Zeghmati, “Effects of nanoparticles Brownian motion in a linearly/sinusoidally heated cavity with MHD natural convection in the presence of uniform heat generation/absorption,” Powder Technol, 2016, pp. 69–8 R. Ellahi, M. M. Bhatti, A. Riaz, M. Sheikholeslami, “Effects of magnetohydrodynamics on peristaltic flow of Jeffrey fluid in a rectangular duct through a porous medium”, J. Porous. Media, vol. 295, 2014, pp.143–157.
[8] M. A. Teamah, Wael M. El-Maghlany, “Augmentation of natural convective heat transfer in square cavity by utilizing nanofluids in the presence of magnetic field and uniform heat generation/absorption, ” Int. J. Therm. Sci, vol. 17, 2012, pp. 130-142.
[9] S.Mukhopadhyay, I.C.Mandal, “Magnetohydrodynamic (MHD) mixed convection slip flow and heat transfer over a vertical porous plate,” Engineering Science and Technology, an International Journal, vol. 18, 2015, pp. 98-105.
[10] H.H. Balla, S. Abdullah, M.F. Wan, R. Zulkifli, K. Sopian, “Numerical study of the enhancement of heat transfer for hybrid CuO-Cu nanofluids flowing in a circular pipe,” J. Oleo Sci., Vol. 62, 2013, pp. 533–539.
[11] B. Ghasemi, S.M. Aminossadati, A. Raisi, “Magnetic field effect on natural convection in a nanofluid-filled square enclosure,” Int. J. Therm, vol. 50, 2011, pp. 1748–1756.
[12] F. H. Lai, Y.T. Yang, “Lattice Boltzmann simulation of natural convection heat transfer of Al2O3/water nanofluids in a square enclosure,” Int. J. Therm. Sci, vol. 50, 2010, pp. 1930–1941.
[13] C. J. Ho, W. K. Liu, Y. S. Chang, “Numerical study of natural convection of a nanofluid in C-shaped enclosures,” Int. J. Therm. Sci, vol. 49, 2010, pp.1345–1353.
[14] Z. Alloui, P. Vasseur, M. Reggio, “Natural convection of nanofluids in a shallow cavity heated from below,” Int. J. Therm. Sci, vol. 50, 2011, pp.385–393.
[15] Y. He, C. Qi, Y. Hu, “Lattice Boltzmann simulation of alumina–water nanofluid in a square cavity, Nanoscale Res. Lett, vol. 184, 2011 pp.1–8.
[16] H.F. Oztop, E. Abu-Nada, “Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids,” Int. J. Heat Fluid Flow, vol. 99, 2008, pp.1326–1336.
[17] A.A. Mohamad, “Applied Lattice Boltzmann Method for transport phenomena, momentum, heat and mass transfer, 2007, Calgary.
[18] S. Succi, “The lattice Boltzmann equation for fluid dynamics and beyond,” Clarendon Press, Oxford, London, 2001.
[19] S.C. Mishra, Ch.H. Krishna, M.Y. Kim, “Lattice Boltzmann method and modified discrete ordinate method applied to radiative transport in a spherical medium with and without conduction,” Numerical Heat Transfer, Part A: Applications, vol. 85, 2010, pp.852–881.
[20] B. Mondal, S.C. Mishra, “Simulation of natural convection in the presence of volumetric radiation using Boltzmann method,” Numerical Heat Transfer, Part A: Applications, vol. 55, 2009, pp.18–41.
[21] M.A. Moussaoui, M. Jami, A. Mezrhab, H. Naji, “Lattice Boltzmann simulation of convective heat transfer from heated blocks in a horizontal channel, Numerical Heat Transfer,” Part A: Applications, vol. 56, 2009,pp. 422–443.
[22] S.C. Mishra, M.Y. Kim, R. Das, M. Ajith, R. Uppaluri, “Lattice Boltzmann method applied to the analyses of transient conduction-radiation problems in a cylindrical medium,” Numerical Heat Transfer, Part A: Applications, vol. 56, 2009, pp.42–59.
[23] S.K. Choi, C.L. Lin, “A simple finite-volume formulation of Lattice Boltzmann Method for laminar and turbulent flows,” Numerical Heat Transfer, Part B: Fundamentals, vol. 58, 2010, pp.242–261.
[24] N. Putra, W. Roetzel, S.K. Das, “Natural convection of nano-fluids,” Heat Mass Transfer, 2003, pp. 775–784.
[25] B. Mliki, M. A. Abbassi, A. Omri, “Lattice Boltzmann simulation of natural convection in an L-shaped enclosure in the presence of nanofluid,” Engineering Science and Technology, an International Journal, vol. 18, 2015, pp.503–511.
[26] K. Khanafer, K. Vafai, M. Lightstone, “Buoyancy-driven heat transfer enhancement in a two dimensional enclosure utilizing nanofluid,” Int. J. Heat Mass Transfer, vol. 46, 2003, pp. 3639–3653.
[27] R. Dehnavi, A. Rezvani, “Numerical investigation of natural convection heat transfer of nanofluids in a C shaped cavity, Superlat. Micro, vol. 52, 2012, pp.312–325.
[28] G.H.R. Kefayati, “Natural convection of ferrofluid in a linearly heated cavity utilizing LBM,” J. Mol. Liq, vol. 191, 2014, pp. 1–9.
[29] GH. R. Kefayati, “Lattice Boltzmann simulation of MHD natural convection in a nanofluid-filled cavity with sinusoidal temperature distribution, Powder Technol, vol. 171, 2013, pp.171–183.
[30] GH. R. Kefayati, “Mesoscopic simulation of mixed convection on non-Newtonian nanofluids in a two sided lid-driven enclosure,” Advanced Powder Technology, vol. 26, 2015, pp.576–588.
[31] A. Mahmoudi, I. Mejri, M. A. Abbassi, A. Omri, “Analysis of MHD natural convection in a nanofluids filled open cavity with non uniformboundary condition in the presence of uniform heat generation/absorption,” Powder Technol, vol. 269, 2015, pp.275–289.
[32] I. Mejri, A. Mahmoudi, M. A. Abbassi, A. Omri, Magnetic field effect on entropy generation in a nanofluid-filled enclosure with sinusoidal heating on both side walls,” Powder Technol, vol. 266, 2014, pp. 340–353.
[33] F. Wu, W. Zhou, X. Ma, “Natural convection in a porous rectangular enclosure with sinusoidal temperature distributions on both side walls using a thermal non-equilibrium model,” Int. J. Heat Mass Transfer, vol. 85, 2015, pp.756–771.
[34] M. Sheikholeslami, M. Gorji-Bandpy, D.D. Ganji, Soheil Soleimani, “Natural convection heat transfer in a cavity with sinusoidal wall filled with CuO–water nanofluid in presence of magnetic field,” Journal of the Taiwan Institute of Chemical Engineers, vol. 45, 2014 pp.40–49.
[35] M. Sheikholeslami, M. Gorji-Bandpy, K. Vajravelu, “Lattice Boltzmann simulation of magnetohydrodynamic natural convection heat transfer of Al2O3–water nanofluid in a horizontal cylindrical enclosure with an inner triangular cylinder,” Int. J. Heat Mass Transfer, vol. 80, 2015, pp.16–25.
[36] M. Sheikholeslami, D. D. Ganji, M. Y. Javed, R. Ellahi, “Effect of thermal radiation on magnetohydrodynamics nanofluid flow and heat transfer by means of two phase model, ” J. Magn. Magn.Mater, vol. 374, 2015, pp. 36–43.
[37] M. Kalteh, H. Hasani, “Lattice Boltzmann simulation of nanofluid free convection heat transfer in an L-shaped enclosure,” Superlat. Micro, vol. 66, 2014, pp.112–128.
[38] M. Sheikholeslami, D.D. Ganji, H.R. Ashorynejad, “Investigation of squeezing unsteady nanofluid flow using ADM,” Powder Technol, vol. 239, 2013, pp.259–265.
[39] M. Sheikholeslami, D.D. Ganji, “Numerical investigation for two phase modeling of nanofluid in a rotating system with permeable sheet,” J. Mol. Liq, vol. 194, 2014, pp.13–19.
[40] B. Mliki, M. A. Abbassi, A. Omri and B. Zeghmati, “Augmentation of natural convective heat transfer in linearly heated cavity by utilizing nanofluids in the presence of magnetic field and uniform heat generation/absorption,” Powder Technol, vol. 284, 2015, pp.312–325.
[41] Soheil Soleimani, M. Sheikholeslami, D.D. Ganji, M. Gorji-Bandpay, “Natural convection heat transfer in a nanofluid filled semi-annulus enclosure,” Int. Commun. Heat Mass Transfer, vol. 39, 2012, pp.565–574.
[42] M. Hassani, M. Mohammad Tabar, H. Nemati, G. Domairry, F. Noori, “An analytical solution for boundary layer flow of a nanofluid past a stretching sheet,” Int. J. Therm. Sci, vol. 50, 2011, pp.2256–2263.
[43] R. Ellahi, M. M. Bhatti, K. Vafai, Effects of heat and mass transfer on peristaltic flow in a non-uniform rectangular duct,” Int.J.Heat Mass Transf, vol. 71, 2014, pp.706–719.