Local Thermal Non-equilibrium Analysis of Cu-Al2O3 Hybrid ‎Nanofluid Natural Convection in a Partially Layered Porous ‎Enclosure with Wavy Walls

Document Type : Research Paper

Authors

1 Mechanical Department, Al-Furat Al-Awsat Technical University, Kufa, 54002, Iraq

2 School of Engineering, University of Leicester, LE1 7RH, United Kingdom‎

Abstract

A numerical study is performed to investigate the local thermal non-equilibrium effects on the natural convection in a two-dimensional enclosure with horizontal wavy walls, layered by a porous medium, saturated by Cu-Al2O3/water hybrid nanofluid. It is examined the influence of the nanoparticle volume fraction, varied from 0 to 0.04, the Darcy number (10-5 ≤ Da ≤ 10-2), the modified conductivity ratio (0.1 ≤ ϒ ≤ 1000), the porous layer height (0 ≤ Hp ≤ 1), and the wavy wall wavenumber (1 ≤ N ≤ 5) on natural convection in the enclosure. Predictions of the steady incompressible flow and temperature fields are obtained by the Galerkin finite element method, using the Darcy-Brinkman model in the porous layer. These are validated against previous numerical and experimental studies. By resolving separately the temperature fields of the working fluid and of the porous matrix, the local thermal non-equilibrium model exposed hot and cold spot formation and mitigation mechanisms on the heated and cooled walls. By determining the convection cell strength, the Darcy number is the first rank controlling parameter on the heat transfer performance, followed by N, Hp and γ. The heat transfer rate through the hybrid nanofluid and solid phases is highest when N = 4 at a fixed value of nanoparticle volume fraction.

Keywords

Main Subjects

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[1] Ismael, M.A., E. Abu-Nada, and A.J. Chamkha, Mixed convection in a square cavity filled with CuO-water nanofluid heated by corner heater, International Journal of Mechanical Sciences, 133, 2017, 42-50.
[2] Geridonmez, B.P. and H.F. Oztop, Natural convection in a cavity filled with porous medium under the effect of a partial magnetic field, International Journal of Mechanical Sciences, 161, 2019, 105077.
[3] Hussain, S.H., Analysis of heatlines and entropy generation during double-diffusive MHD natural convection within a tilted sinusoidal corrugated porous enclosure, Engineering Science and Technology, an International Journal, 19(2), 2016, 926-945.
[4] Alsabery, A.I., et al., Impacts of amplitude and local thermal non-equilibrium design on natural convection within nanofluid superposed wavy porous layers, Nanomaterials, 11(5), 2021, 1277.
[5] Rashidi, M., et al., New analytical method for the study of natural convection flow of a non‐Newtonian fluid, International Journal of Numerical Methods for Heat & Fluid Flow, 2013.
[6] Varol, Y. and H.F. Oztop, Free convection in a shallow wavy enclosure, International Communications in Heat and Mass Transfer, 33(6), 2006, 764-771.
[7] Das, P.K. and S. Mahmud, Numerical investigation of natural convection inside a wavy enclosure, International Journal of Thermal Sciences, 42(4), 2003, 397-406.
[8] Al-Srayyih, B.M., S. Gao, and S.H. Hussain, Effects of linearly heated left wall on natural convection within a superposed cavity filled with composite nanofluid-porous layers, Advanced Powder Technology, 30(1), 2019, 55-72.
[9] Kadhim, H.T., et al., Numerical study of nanofluid flow in a square cavity with porous medium using a sinusoidal interface, 2019 4th Scientific International Conference Najaf (SICN), 2019, 216-221.
[10] Nguyen, M.T., A.M. Aly, and S.-W. Lee, Effect of a wavy interface on the natural convection of a nanofluid in a cavity with a partially layered porous medium using the ISPH method, Numerical Heat Transfer, Part A: Applications, 72(1), 2017, 68-88.
[11] Singh, A.K. and G.R. Thorpe, Natural convection in a confined fluid overlying a porous layer-a comparison, Indian Journal of Pure and Applied Mathematics, 26(1), 1995, 81-95.
[12] Kasaeian, A., et al., Nanofluid flow and heat transfer in porous media: A review of the latest developments, International Journal of Heat and Mass Transfer, 107, 2017, 778-791.
[13] Miroshnichenko, I.V., et al., Natural convection of alumina-water nanofluid in an open cavity having multiple porous layers, International Journal of Heat and Mass Transfer, 125, 2018, 648-657.
[14] Baytas, A.C. and I. Pop, Free convection in a square porous cavity using a thermal nonequilibrium model, International Journal of Thermal Sciences, 41(9), 2002, 861-870.
[15] Khashan, S., et al., Numerical simulation of natural convection heat transfer in a porous cavity heated from below using a non-Darcian and thermal non-equilibrium model, International Journal of Heat and Mass Transfer, 49(5-6), 2006, 1039-1049.
[16] Wu, F., et al., Buoyancy induced convection in a porous cavity with sinusoidally and partially thermally active sidewalls under local thermal non-equilibrium condition, International Communications in Heat and Mass Transfer, 75, 2016, 100-114.
[17] Badruddin, I.A., et al., Numerical analysis of convection conduction and radiation using a non-equilibrium model in a square porous cavity, International Journal of Thermal Sciences, 46(1), 2007, 20-29.
[18] Zargartalebi, H., et al., Unsteady free convection in a square porous cavity saturated with nanofluid: The case of local thermal nonequilibrium and Buongiorno's mathematical models, Journal of Porous Media, 20(11), 2017.
[19] Feng, Y.-Y., et al., Internal thermal source effects on convection heat transfer in a two-dimensional porous medium: A lattice Boltzmann study, International Journal of Thermal Sciences, 173, 2022, 107416.
[20] Wang, C.-H., et al., Numerical investigations of convection heat transfer in a thermal source-embedded porous medium via a lattice Boltzmann method, Case Studies in Thermal Engineering, 30, 2022, 101758.
[21] Wang, C.-H., et al., Double-diffusive convection in a magnetic nanofluid-filled porous medium: Development and application of a nonorthogonal lattice Boltzmann model, Physics of Fluids, 34(6), 2022, 062012.
[22] Wu, F., W. Zhou, and X. Ma, Natural convection in a porous rectangular enclosure with sinusoidal temperature distributions on both side walls using a thermal non-equilibrium model, International Journal of Heat and Mass Transfer, 85, 2015, 756-771.
[23] Alsabery, A.I., et al., Impacts of amplitude and local thermal non-equilibrium design on natural convection within nanofluid superposed wavy porous layers, Nanomaterials, 11(5), 2021, 1277.
[24] Izadi, M., et al., Nanoparticle migration and natural convection heat transfer of Cu-water nanofluid inside a porous undulant-wall enclosure using LTNE and two-phase model, Journal of Molecular Liquids, 261, 2018, 357-372.
[25] Reddy, P.S. and P.J. Sreedevi, Entropy generation and heat transfer analysis of magnetic hybrid nanofluid inside a square cavity with thermal radiation, The European Physical Journal Plus, 136(1), 2021, 1-33.
[26] Tayebi, T., et al., Natural convection and entropy production in hybrid nanofluid filled-annular elliptical cavity with internal heat generation or absorption, Thermal Science and Engineering Progress, 19, 2020, 100605.
[27] Ashorynejad, H.R. and A.J.R. Shahriari, MHD natural convection of hybrid nanofluid in an open wavy cavity, Results in Physics, 9, 2018, 440-455.
[28] Sheikholeslami, M., et al., Variable magnetic forces impact on magnetizable hybrid nanofluid heat transfer through a circular cavity, Journal of Molecular Liquids, 277, 2019, 388-396.
[29] Chamkha, A.J., et al., Thermal non-equilibrium heat transfer modeling of hybrid nanofluids in a structure composed of the layers of solid and porous media and free nanofluids, Energies, 12(3), 2019, 541.
[30] Ghalambaz, M., et al., Local thermal non-equilibrium analysis of conjugate free convection within a porous enclosure occupied with Ag–MgO hybrid nanofluid, Journal of Thermal Analysis and Calorimetry, 135(2), 2019, 1381-1398.
[31] Alsabery, A.I., et al., Impact of two-phase hybrid nanofluid approach on mixed convection inside wavy lid-driven cavity having localized solid block, Journal of Advanced Research, 30, 2021, 63-74.
[32] Gorla, R., et al., Heat source/sink effects on a hybrid nanofluid-filled porous cavity, Journal of Thermophysics and Heat Transfer, 31(4), 2017, 847-857.
[33] Ghalambaz, M., et al., MHD natural convection of Cu–Al2O3 water hybrid nanofluids in a cavity equally divided into two parts by a vertical flexible partition membrane, Journal of Thermal Analysis and Calorimetry, 138(2), 2019, 1723-1743.
[34] Izadi, M., et al., Natural convection of a magnetizable hybrid nanofluid inside a porous enclosure subjected to two variable magnetic fields, International Journal of Mechanical Sciences, 151, 2019, 154-169.
[35] Selimefendigil, F. and H.F. Öztop, Conjugate natural convection in a cavity with a conductive partition and filled with different nanofluids on different sides of the partition, Journal of Molecular Liquids, 216, 2016, 67-77.
[36] Chamkha, A.J., I.V. Miroshnichenko, and M.A. Sheremet, Numerical analysis of unsteady conjugate natural convection of hybrid water-based nanofluid in a semicircular cavity, Journal of Thermal Science and Engineering Applications, 9(4), 2017, 041004.
[37] Sahoo, R.R., P. Ghosh, and J. Sarkar, Performance analysis of a louvered fin automotive radiator using hybrid nanofluid as coolant, Heat Transfer—Asian Research, 46(7), 2017, 978-995.
[38] Mehryan, S.A., et al., Free convection of hybrid Al2O3-Cu water nanofluid in a differentially heated porous cavity, Advanced Powder Technology, 28(9), 2017, 2295-2305.
[39] Kadhim, H.T., F.A. Jabbar, and A. Rona, Cu-Al2O3 hybrid nanofluid natural convection in an inclined enclosure with wavy walls partially layered by porous medium, International Journal of Mechanical Sciences, 186, 2020, 105889.
[40] Takabi, B. and S. Salehi, Augmentation of the heat transfer performance of a sinusoidal corrugated enclosure by employing hybrid nanofluid, Advances in Mechanical Engineering, 6, 2014, 147059.
[41] Hussein, A.K. and S.H. Hussain, Heatline visualization of natural convection heat transfer in an inclined wavy cavities filled with nanofluids and subjected to a discrete isoflux heating from its left sidewall, Alexandria Engineering Journal, 55(1), 2016, 169-186.
[42] Suresh, S., et al., Synthesis of Al2O3–Cu/water hybrid nanofluids using two step method and its thermo physical properties, Colloids and Surfaces A: Physicochemical and Engineering Aspects, 388(1-3), 2011, 41-48.
[43] Chamkha, A.J. and M.A. Ismael, Natural convection in differentially heated partially porous layered cavities filled with a nanofluid, Numerical Heat Transfer, Part A: Applications, 65(11), 2014, 1089-1113.
[44] Khanafer, K., K. Vafai, and M. Lightstone, Buoyancy-driven heat transfer enhancement in a two-dimensional enclosure utilizing nanofluids, International Journal of Heat and Mass Transfer, 46(19), 2003, 3639-3653.
[45] Alsabery, A., et al., Effects of nonuniform heating and wall conduction on natural convection in a square porous cavity using LTNE model, Journal of Heat and Mass Transfer, 139(12), 2017, 122008.
[46] Basak, T., et al., Natural convection in a square cavity filled with a porous medium: effects of various thermal boundary conditions, International Journal of Heat and Mass Transfer, 49(7-8), 2006, 1430-1441.
[47] Basak, T., et al., Finite element based heatline approach to study mixed convection in a porous square cavity with various wall thermal boundary conditions, International Journal of Heat and Mass Transfer, 54(9-10), 2011, 1706-1727.
[48] Abu-Nada, E. and A.J. Chamkha, Effect of nanofluid variable properties on natural convection in enclosures filled with a CuO–EG–water nanofluid, International Journal of Thermal Sciences, 49(12), 2010, 2339-2352.
[49] Brinkman, H., The viscosity of concentrated suspensions and solutions, The Journal of Chemical Physics, 20(4), 1952, 571-571.
[50] Aminossadati, S. and B. Ghasemi, Natural convection cooling of a localised heat source at the bottom of a nanofluid-filled enclosure, European Journal of Mechanics-B/Fluids, 28(5), 2009, 630-640.
[51] Donea, J. and A. Huerta, Finite element methods for flow problems, John Wiley & Sons, 2003.
[52] Nithiarasu, P., R.W. Lewis, and K.N. Seetharamu, Fundamentals of the finite element method for heat and mass transfer, John Wiley & Sons, 2016.
[53] Chen, Y. and X. Zhang, A P2-P1 partially penalized immersed finite element method for Stokes interface problems, International Journal of Numerical Analysis and Modeling, 18(1), 2021.
[54] Hauke, G. and T. Hughes, A unified approach to compressible and incompressible flows, Computer Methods in Applied Mechanics and Engineering, 113(3-4), 1994, 389-395.
[55] COMSOL, M., Comsol multiphysics user guide (version 5.2), COMSOL, AB, 2015.
[56] Roache, P.J., Perspective: a method for uniform reporting of grid refinement studies, 1994.
[57] Wilcox, D.C., Turbulence modeling for CFD, La Canada, CA: DCW Industries, 2006.
[58] Baytas, A.J.I., Thermal non‐equilibrium natural convection in a square enclosure filled with a heat‐generating solid phase, non‐Darcy porous medium, International Journal of Energy Research, 27(10), 2003, 975-988.
[59] Beckermann, C., S. Ramadhyani, and R. Viskanta, Natural convection flow and heat transfer between a fluid layer and a porous layer inside a rectangular enclosure, ASME Journal of Heat and Mass Transfer, 109(2), 1987, 363-370.
[60] Wang, L., et al., Effects of temperature-dependent viscosity on natural convection in a porous cavity with a circular cylinder under local thermal non-equilibrium condition, International Journal of Thermal Sciences, 159, 2021, 106570.
[61] Ali, A.M., et al., Thermo-hydraulic performance of a circular microchannel heat sink using swirl flow and nanofluid, Applied Thermal Engineering, 191, 2021, 116817.
[62] Alsabery, A.I., et al., Effect of local thermal non-equilibrium model on natural convection in a nanofluid-filled wavy-walled porous cavity containing inner solid cylinder, Chemical Engineering Science, 201, 2019, 247-263.
[63] Zhang, L., Y. Hu, and M. Li, Numerical study of natural convection heat transfer in a porous annulus filled with a Cu-nanofluid, Nanomaterials, 11(04), 2021, 990.
[64] Shafiee, H., E. NikzadehAbbasi, and M. Soltani, Numerical study of the effect of magnetic field on nanofluid heat transfer in metal foam environment, Geofluids, 2021, 2021, 3209855.