Lattice Boltzmann simulation of magneto-hydrodynamic double-diffusive natural convection in an enclosure with internal heat and solute source using nanofluids
Tóm tắt
Magneto-hydrodynamic double-diffusive natural convection in a cavity is numerically investigated in the present work. Al2O3, Cu, and Ag based nanofluids in a square cavity with a thermal and solute source in the center, and uniform magnetic field are considered. The Patel model is employed to estimate the thermal conductivity of applied nanofluids, and the numerical calculation is based on the implementation of the lattice Boltzmann method and utilizing the standard
$$D_{2} Q_{9}$$
model to study the heat transfer, and also species concentration. A parametric study is carried out to observe the influence of the type, the volume fraction of nanoparticle (
$$\phi = 0 - 5\%$$
), Rayleigh (
$$Ra = 10^{4} - 10^{5} - 10^{6} )$$
, Lewis
$$\left( {0.1 - 2 - 10} \right)$$
, and Hartmann number
$$\left( {10 - 20 - 100} \right)$$
on average Nusselt and Sherwood numbers, flow fields, temperature, and concentration distribution. The results show that an augment in nanoparticle volume fraction and Rayleigh number increased the average Nusselt and Sherwood numbers. Lewis number showed a significant impact on mass transfer rate. However, it did not affect the heat transfer rate remarkably. Applying a magnetic field caused a reduction in flow circulation which resulted in a decline in heat and mass transfer. A comparison of the simulation outcome with the available data shows that the generated code perfectly captures the fluid flow behavior and heat transfer process as a function of the affecting parameters.
Tài liệu tham khảo
Ostrach S (1988) Natural convection in enclosures. J Heat Transf 110(4b):1175–1190
Rahimi A, Saee AD, Baghban A, Kasaeipoor A, Ashrafi H, Malekshah EH (2018) Double-MRT lattice Boltzmann simulation of natural convection in a C-shaped heat exchanger. Powder Technol 336:465–480
Rahimi A, Amiri A, Kasaeipoor A, Malekshah EH (2018) Heat transfer enhancement using Al2O3-EG/W (60/40 vol%) in multiple-pipe heat exchanger. J Mol Liq 261:319–336
Moufekkir F, Moussaoui MA, Mezrhab A, Fontaine JP, Bouzidi M (2013) Investigation of double diffusive natural convection in presence of gray gas radiation within a square cavity using multiple relaxation time lattice Boltzmann method. J Heat Transf 135(10):102701
Kefayati G (2017) Simulation of natural convection and entropy generation of non-Newtonian nanofluid in a porous cavity using Buongiorno’s mathematical model. Int J Heat Mass Transf 112:709–744
Shi X, Jaryani P, Amiri A, Rahimi A, Malekshah EH (2019) Heat transfer and nanofluid flow of free convection in a quarter cylinder channel considering nanoparticle shape effect. Powder Technol 346:160–170
Wong KV, Castillo MJ (2010) Heat transfer mechanisms and clustering in nanofluids. Adv Mech Eng 2:795478
Kolsi L, Hussein AK, Borjini MN, Mohammed H, Aïssia HB (2014) Computational analysis of three-dimensional unsteady natural convection and entropy generation in a cubical enclosure filled with water-Al2O3 nanofluid. Arab J Sci Eng 39(11):7483–7493
Jou R-Y, Tzeng S-C (2006) Numerical research of nature convective heat transfer enhancement filled with nanofluids in rectangular enclosures. Int Commun Heat Mass Transf 33(6):727–736
Ho C-J, Chen M, Li Z (2008) Numerical simulation of natural convection of nanofluid in a square enclosure: effects due to uncertainties of viscosity and thermal conductivity. Int J Heat Mass Transf 51(17):4506–4516
Kumar S, Prasad SK, Banerjee J (2010) Analysis of flow and thermal field in nanofluid using a single phase thermal dispersion model. Appl Math Model 34(3):573–592
Chen C-L, Chang S-C, Chang C-K (2015) Lattice Boltzmann simulation for mixed convection of nanofluids in a square enclosure. Appl Math Model 39(8):2436–2451
Corcione M, Cianfrini M, Quintino A (2015) Enhanced natural convection heat transfer of nanofluids in enclosures with two adjacent walls heated and the two opposite walls cooled. Int J Heat Mass Transf 88:902–913
Chen S, Tölke J, Krafczyk M (2010) Numerical investigation of double-diffusive (natural) convection in vertical annuluses with opposing temperature and concentration gradients. Int J Heat Fluid Flow 31(2):217–226
Moufekkir F, Moussaoui M, Mezrhab A, Bouzidi M, Laraqi N (2013) Study of double-diffusive natural convection and radiation in an inclined cavity using lattice Boltzmann method. Int J Therm Sci 63:65–86
Kefayati GHR (2018) Double-diffusive natural convection and entropy generation of Bingham fluid in an inclined cavity. Int J Heat Mass Transf 116:762–812. https://doi.org/10.1016/j.ijheatmasstransfer.2017.09.065
Chen S, Yang B, Luo KH, Xiong X, Zheng C (2016) Double diffusion natural convection in a square cavity filled with nanofluid. Int J Heat Mass Transf 95:1070–1083
Hussein AK, Bakier M, Hamida MBB, Sivasankaran S (2016) Magneto-hydrodynamic natural convection in an inclined T-shaped enclosure for different nanofluids and subjected to a uniform heat source. Alex Eng J 55(3):2157–2169
Rudraiah N, Barron R, Venkatachalappa M, Subbaraya C (1995) Effect of a magnetic field on free convection in a rectangular enclosure. Int J Eng Sci 33(8):1075–1084
Hussein AK, Ashorynejad HR, Shikholeslami M, Sivasankaran S (2014) Lattice Boltzmann simulation of natural convection heat transfer in an open enclosure filled with Cu-water nanofluid in a presence of magnetic field. Nucl Eng Des 268:10–17
Kahveci K, Öztuna S (2009) MHD natural convection flow and heat transfer in a laterally heated partitioned enclosure. Eur J Mech-B/Fluids 28(6):744–752
Ece MC, Büyük E (2006) Natural-convection flow under a magnetic field in an inclined rectangular enclosure heated and cooled on adjacent walls. Fluid Dyn Res 38(8):564–590
Kefayati GR (2016) Simulation of heat transfer and entropy generation of MHD natural convection of non-Newtonian nanofluid in an enclosure. Int J Heat Mass Transf 92:1066–1089
Sheikholeslami M, Ellahi R (2015) Three dimensional mesoscopic simulation of magnetic field effect on natural convection of nanofluid. Int J Heat Mass Transf 89:799–808
Teamah MA, Shehata AI (2016) Magnetohydrodynamic double diffusive natural convection in trapezoidal cavities. Alex Eng J 55:1037–1046
Farooq M, Ahmad S, Javed M, Anjum A (2018) Magnetohydrodynamic flow of squeezed Maxwell nano-fluid with double stratification and convective conditions. Adv Mech Eng 10(9):1687814018801140
Nkurikiyimfura I, Wang Y, Pan Z (2013) Heat transfer enhancement by magnetic nanofluids—a review. Renew Sustain Energy Rev 21:548–561
Sheikholeslami M, Rashidi MM, Hayat T, Ganji DD (2016) Free convection of magnetic nanofluid considering MFD viscosity effect. J Mol Liq 218(Supplement C):393–399. https://doi.org/10.1016/j.molliq.2016.02.093
Sharma S, Gupta SM (2016) Preparation and evaluation of stable nanofluids for heat transfer application: a review. Exp Thermal Fluid Sci 79:202–212
Elshehabey HM, Hady F, Ahmed SE, Mohamed R (2014) Numerical investigation for natural convection of a nanofluid in an inclined L-shaped cavity in the presence of an inclined magnetic field. Int Commun Heat Mass Transf 57:228–238
Boualit A, Zeraibi N, Chergui T, Lebbi M, Boutina L, Laouar S (2017) Natural convection investigation in square cavity filled with nanofluid using dispersion model. Int J Hydrog Energy 42(13):8611–8623. https://doi.org/10.1016/j.ijhydene.2016.07.132
Moufekkir F, Moussaoui MA, Mezrhab A, Bouzidi MH, Lemonnier D (2012) Combined double-diffusive convection and radiation in a square enclosure filled with semitransparent fluid. Comput Fluids 69:172–178. https://doi.org/10.1016/j.compfluid.2012.07.030
Al-Rashed AA, Kalidasan K, Kolsi L, Aydi A, Malekshah EH, Hussein AK, Kanna PR (2018) Three-dimensional investigation of the effects of external magnetic field inclination on laminar natural convection heat transfer in CNT-water nanofluid filled cavity. J Mol Liq 252:454–468
Dogonchi A, Chamkha AJ, Ganji D (2019) A numerical investigation of magneto-hydrodynamic natural convection of Cu-water nanofluid in a wavy cavity using CVFEM. J Therm Anal Calorim 135(4):2599–2611
Hussein AK, Mustafa AW (2017) Natural convection in fully open parallelogrammic cavity filled with Cu-water nanofluid and heated locally from its bottom wall. Therm Sci Eng Progress 1:66–77
Moufekkir F, Moussaoui MA, Mezrhab A, Naji H (2015) Study of coupled double diffusive convection-radiation in a tilted cavity via a hybrid multi-relaxation time-lattice Boltzmann-finite difference and discrete ordinate methods. Heat Mass Transf 51(4):567–586
Kefayati G (2019) Lattice Boltzmann simulation of double-diffusive natural convection of viscoplastic fluids in a porous cavity. Phys Fluids 31(1):013105
Abbassi MA, Safaei MR, Djebali R, Guedri K, Zeghmati B, Alrashed AA (2018) LBM simulation of free convection in a nanofluid filled incinerator containing a hot block. Int J Mech Sci 144:172–185
Guo Z, Shi B, Zheng C (2002) A coupled lattice BGK model for the Boussinesq equations. Int J Numer Meth Fluids 39(4):325–342
Rahimi A, Surendar A, Kasaeipoor A, Hooshmand P, Malekshah EH (2018) Lattice Boltzmann simulation of nanofluid flow and heat transfer in a hollow multi-pipe heat exchanger considering nanoparticles’ shapes. Powder Technol 339:974–984
Rahimi A, Kasaeipoor A, Malekshah EH (2017) Lattice Boltzmann simulation of natural convection and entropy generation in cavities filled with nanofluid in existence of internal rigid bodies-experimental thermo-physical properties. J Mol Liq 242(Supplement C):580–593. https://doi.org/10.1016/j.molliq.2017.07.039
Li L, Mei R, Klausner JF (2017) Lattice Boltzmann models for the convection-diffusion equation: D2Q5 vs D2Q9. Int J Heat Mass Transf 108:41–62
Kefayati GR, Tang H (2018) MHD thermosolutal natural convection and entropy generation of Carreau fluid in a heated enclosure with two inner circular cold cylinders, using LBM. Int J Heat Mass Transf 126:508–530
Ashorynejad HR, Shahriari A (2018) MHD natural convection of hybrid nanofluid in an open wavy cavity. Results Phys 9:440–455
Nazari M, Louhghalam L, Kayhani MH (2015) Lattice Boltzmann simulation of double diffusive natural convection in a square cavity with a hot square obstacle. Chin J Chem Eng 23(1):22–30
Vijaybabu T, Dhinakaran S (2019) MHD Natural convection around a permeable triangular cylinder inside a square enclosure filled with Al2O3–H2O nanofluid: An LBM study. Int J Mech Sci 153:500–516
Patel HE, Anoop K, Sundararajan T, Das SK (2006) A micro-convection model for thermal conductivity of nanofluids. In: International Heat Transfer Conference 13. Begel House Inc71
Brinkman H (1952) The viscosity of concentrated suspensions and solutions. J Chem Phys 20(4):571
Pak BC, Cho YI (1998) Hydrodynamic and heat transfer study of dispersed fluids with submicron metallic oxide particles. Exp Heat Transf Int J 11(2):151–170
Maxwell JC (1954) A treatise on electricity and magnetism, vol 1–2. Dover Publications, New York
Zawrah M, Khattab R, Girgis L, El Daidamony H, Aziz REA (2015) Stability and electrical conductivity of water-base Al2O3 nanofluids for different applications. HBRC J 12:227–234
Kefayati GR, Tang H (2018) Double-diffusive natural convection and entropy generation of Carreau fluid in a heated enclosure with an inner circular cold cylinder (Part I: heat and mass transfer). Int J Heat Mass Transf 120:731–750
Teamah MA (2008) Numerical simulation of double diffusive natural convection in rectangular enclosure in the presences of magnetic field and heat source. Int J Therm Sci 47(3):237–248
Oueslati F, Ben-Beya B, Lili T (2013) Double-diffusive natural convection and entropy generation in an enclosure of aspect ratio 4 with partial vertical heating and salting sources. Alex Eng J 52(4):605–625
Mehryan S, Izadi M, Chamkha AJ, Sheremet MA (2018) Natural convection and entropy generation of a ferrofluid in a square enclosure under the effect of a horizontal periodic magnetic field. J Mol Liq 263:510–525
Sivaraj C, Sheremet MA (2017) MHD natural convection in an inclined square porous cavity with a heat conducting solid block. J Magn Magn Mater 426:351–360
Maxwell JC (1881) A treatise on electricity and magnetism, vol 1. Clarendon Press, Oxford
Hamilton RL, Crosser O (1962) Thermal conductivity of heterogeneous two-component systems. Ind Eng Chem Fundam 1(3):187–191
Xuan Y, Li Q (2000) Heat transfer enhancement of nanofluids. Int J Heat Fluid Flow 21(1):58–64
Mohebbi R, Izadi M, Chamkha AJ (2017) Heat source location and natural convection in a C-shaped enclosure saturated by a nanofluid. Phys Fluids 29(12):122009
Das D, Roy M, Basak T (2017) Studies on natural convection within enclosures of various (non-square) shapes—a review. Int J Heat Mass Transf 106:356–406