Natural convection of a hybrid nanofluid subjected to non-uniform magnetic field within porous medium including circular heater

Mohsen Izadi1, Nemat Mashoofi Maleki2, Ioan Pop3, S.A.M. Mehryan4
1Mechanical Engineering Department, Lorestan University, Khorramabad, Iran
2Shahid Beheshti University, Tehran, Iran
3Department of Applied Mathematics, Babes-Bolyai University, Cluj-Napoca, Cluj, Romania
4Young Researchers and Elite Club, Yasooj Branch, Islamic Azad University, Yasooj, Iran

Tóm tắt

Purpose This paper aims to numerically investigate the natural convection heat transfer of a hybrid nanofluid into a porous cavity exposed to a variable magnetic field. Design/methodology/approach The non-linear elliptical governing equations have been solved numerically using control volume based finite element method. The effects of different governing parameters including Rayleigh number (Ra = 103 − 106), Hartman number (Ha = 0 − 50), volume fraction of nanoparticles (φ = 0 − 0.02), curvature of horizontal isolated wall (a = 0.85 − 1.15), porosity coefficient (ε = 0.1 − 0.9) and Darcy number (Da = 10−5 − 10−1) have been studied. Findings The results indicate that at low Darcy numbers close to 0, the average Nusselt number Nua enhances as porosity coefficient increases. For a = 1 and a = 1.15 in comparison with a = 0.85, the stretching of the isothermal lines is maintained from the left side to the right side and vice versa, which indicates increased natural convection heat transfer for this configuration of the top and bottom walls. In addition, at higher Rayleigh numbers, by increasing the Hartmann number, a significant decrease is observed in the Nusselt number, which can be attributed to the decreased power of the flow. Originality/value The authors believe that all the results, both numerical and asymptotic, are original and have not been published elsewhere.

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Tài liệu tham khảo

2018, Effects of two-phase nanofluid model on natural convection in a square cavity in the presence of an adiabatic inner block and magnetic field, International Journal of Numerical Methods for Heat and Fluid Flow, 28, 1613, 10.1108/HFF-10-2017-0425

2018, The simultaneous effects of nanoparticles and ultrasonic vibration on inlet turbulent flow: an experimental study, Applied Thermal Engineering, 146, 268

1983, A control volume finite-element method for two-dimensional fluid flow and heat transfer, Numerical Heat Transfer, 6, 245, 10.1080/01495728308963086

2013, Numerical study of the enhancement of heat transfer for hybrid CuO-Cu nanofluids flowing in a circular pipe, Journal of Oleo Science, 62, 533, 10.5650/jos.62.533

2009, A benchmark study on the thermal conductivity of nanofluids, Journal of Applied Physics, 106, 94312, 10.1063/1.3245330

2018, Effects of partial slip on entropy generation and MHD combined convection in a lid-driven porous enclosure saturated with a Cu-water nanofluid, Journal of Thermal Analysis and Calorimetry, 132, 1291, 10.1007/s10973-017-6918-8

2007, Nanofluids: Science and Technology

2018, A numerical investigation of magneto-hydrodynamic natural convection of Cu-water nanofluid in a wavy cavity using CVFEM, Journal of Thermal Analysis and Calorimetry, 1

2015, Experimental determination of thermal conductivity and dynamic viscosity of Ag-MgO/water hybrid nanofluid, International Communications in Heat and Mass Transfer, 66, 189, 10.1016/j.icheatmasstransfer.2015.06.003

2018, Magneto-Marangoni nano-boundary layer flow of water and ethylene glycol based γ Al2O3 nanofluids with non-linear thermal radiation effects, Case Studies in Thermal Engineering, 12, 340, 10.1016/j.csite.2018.04.019

2017, Convective heat transfer of ferrofluid in a lid-driven cavity with a heat-conducting solid backward step under the effect of a variable magnetic field, Numerical Heat Transfer, Part A: Applications, 72, 54, 10.1080/10407782.2017.1353377

2011, Thermal characteristics of grooved heat pipe with hybrid nanofluids, Thermal Science, 15, 195, 10.2298/TSCI100209056H

2014, Simultaneous effects of convective conditions and nanoparticles on peristaltic motion, Journal of Molecular Liquids, 193, 74, 10.1016/j.molliq.2013.12.036

2018, Effect of geometrical parameters on natural convection in a porous undulant-wall enclosure saturated by a nanofluid using buongiorno’s model, Journal of Molecular Liquids, 255, 148, 10.1016/j.molliq.2018.01.145

2009, Numerical study of developing laminar forced convection of a nanofluid in an annulus, International Journal of Thermal Sciences, 48, 2119, 10.1016/j.ijthermalsci.2009.04.003

2014, Effects of discrete source-sink arrangements on mixed convection in a square cavity filled by nanofluid, Korean Journal of Chemical Engineering, 31, 12, 10.1007/s11814-013-0176-7

2015, Effects of inclination angle on laminar mixed convection of a nanofluid flowing through an annulus, Chemical Engineering Communications, 202, 1693, 10.1080/00986445.2014.910770

2015, Effects of inclination angle on mixed convection heat transfer of a nanofluid in a square cavity, International Journal for Computational Methods in Engineering Science and Mechanics, 16, 11, 10.1080/15502287.2014.976674

2018, 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, 357, 10.1016/j.molliq.2018.04.063

2018, Numerical simulation of natural convection heat transfer inside a ┴ shaped cavity filled by a MWCNT-Fe3O4/water hybrid nanofluids using LBM, Chemical Engineering and Processing – Process Intensification, 125, 56, 10.1016/j.cep.2018.01.004

2018, Numerical simulation of natural convection heat transfer inside a┴ Shaped cavity filled by a MWCNT-Fe 3 O 4/Water hybrid nanofluids using LBM, Chemical Engineering and Processing: Process Intensification

2013, Richardson number ratio effect on laminar mixed convection of a nanofluid flow in an annulus, International Journal for Computational Methods in Engineering Science and Mechanics, 14, 304, 10.1080/15502287.2012.749313

2013, Numerical study of developed laminar mixed convection of Al2O3/water nanofluid in an annulus, Chemical Engineering Communications, 200, 878, 10.1080/00986445.2012.723077

2018, Natural convection of a nanofluid between two eccentric cylinders saturated by porous material: Buongiorno’s two phase model, International Journal of Heat and Mass Transfer, 127, 67, 10.1016/j.ijheatmasstransfer.2018.07.066

2009, Thermal conductivity studies of metal dispersed multiwalled carbon nanotubes in water and ethylene glycol based nanofluids, Journal of Applied Physics, 106, 84317, 10.1063/1.3240307

2009, Review of convective heat transfer enhancement with nanofluids, International Journal of Heat and Mass Transfer, 52, 3187

2018, Control volume finite element method for nanofluid MHD natural convective flow inside a sinusoidal annulus under the impact of thermal radiation, Computer Methods in Applied Mechanics and Engineering, 338, 618, 10.1016/j.cma.2018.04.023

2013, A review of the applications of nanofluids in solar energy, International Journal of Heat and Mass Transfer, 57, 582, 10.1016/j.ijheatmasstransfer.2012.10.037

2010, Heat Transfer in Nanofluids

2017, Effects of heat source and sink on entropy generation and MHD natural convection of a Al2o3-Cu/Water hybrid nanofluid filled with square porous cavity, Thermal Science and Engineering Progress

2018, Natural convection and entropy generation of a ferrofluid in a square enclosure under the effect of a horizontal periodic magnetic field, Journal of Molecular Liquids

2017, Free convection of hybrid Al2O3-Cu water nanofluid in a differentially heated porous cavity, Advanced Powder Technology, 28, 2295, 10.1016/j.apt.2017.06.011

2014, Nanofluidics: Thermodynamic and Transport Properties

2015, A numerical study of water based Al2O3 and Al2O3-Cu hybrid nanofluid effect on forced convective heat transfer, International Journal of Thermal Sciences, 92, 50, 10.1016/j.ijthermalsci.2015.01.025

2017, Heat source location and natural convection in a C-shaped enclosure saturated by a nanofluid, Physics of Fluids, 29, 122009, 10.1063/1.4993866

2018, Forced convection of nanofluids in an extended surfaces channel using lattice Boltzmann method, International Journal of Heat and Mass Transfer, 117, 1291, 10.1016/j.ijheatmasstransfer.2017.10.063

2014, Nonlinear radiative heat transfer in the flow of nanofluid due to solar energy: a numerical study, Journal of the Taiwan Institute of Chemical Engineers, 45, 1176, 10.1016/j.jtice.2013.11.008

2011, Stagnation-point flow of a nanofluid towards a stretching sheet, International Journal of Heat and Mass Transfer, 54, 5588

2017, Does mathematics contribute to the nanofluid debate?, International Journal of Heat and Mass Transfer, 111, 279, 10.1016/j.ijheatmasstransfer.2017.03.118

2018, 3D MHD free convective stretched flow of a radiative nanofluid inspired by variable magnetic field, Arabian Journal for Science and Engineering, 1

2006, Convection in Porous Media

2015, Conjugate heat transfer analysis of micro-channel using novel hybrid nanofluids (Al2O3+ Ag/Water), European Journal of Mechanics-B/Fluids, 52, 19, 10.1016/j.euromechflu.2015.01.007

2016, Numerical study on turbulent-forced convective heat transfer of Ag/Heg water nanofluid in pipe, Journal of Advance Research Material Science, 22, 11

2018, Effects of velocity and thermal wall slip on magnetohydrodynamics (MHD) boundary layer viscous flow and heat transfer of a nanofluid over a non-linearly-stretching sheet: a numerical study, Propulsion and Power Research, 7, 182, 10.1016/j.jppr.2018.04.003

2018, Magnetohydrodynamics natural convection in a triangular cavity filled with a Cu-Al2O3/Water hybrid nanofluid with localized heating from below and internal heat generation, Journal of Heat Transfer, 140

2018, Heat and mass transfer characteristics of MHD three-dimensional flow over a stretching sheet filled with water-based alumina nanofluid, International Journal of Numerical Methods for Heat and Fluid Flow, 28, 532, 10.1108/HFF-02-2017-0061

2012, Convective performance of CuO/water nanofluid in an electronic heat sink, Experimental Thermal and Fluid Science, 40, 57, 10.1016/j.expthermflusci.2012.01.033

2016, Experimental investigation on laminar forced convective heat transfer of ferrofluid loaded with carbon nanotubes under constant and alternating magnetic fields, Experimental Thermal and Fluid Science, 76, 1, 10.1016/j.expthermflusci.2016.03.010

2017, Combined thermophoresis and Brownian motion effects on nanofluid free convection heat transfer in an L-shaped enclosure, Chinese Journal of Physics, 55, 2356, 10.1016/j.cjph.2017.09.011

2016, Nanofluid convective heat transfer using semi analytical and numerical approaches: a review, Journal of the Taiwan Institute of Chemical Engineers, 65, 43, 10.1016/j.jtice.2016.05.014

2013, Effect of a magnetic field on natural convection in an inclined half-annulus enclosure filled with Cu-water nanofluid using CVFEM, Advanced Powder Technology, 24, 980, 10.1016/j.apt.2013.01.012

2014, Heat flux boundary condition for nanofluid filled enclosure in presence of magnetic field, Journal of Molecular Liquids, 193, 174, 10.1016/j.molliq.2013.12.023

2014, Thermal management for free convection of nanofluid using two phase model, Journal of Molecular Liquids, 194, 179, 10.1016/j.molliq.2014.01.022

2017, Nanofluid flow and heat transfer in a cavity with variable magnetic field, Applied Mathematics and Computation, 298, 272, 10.1016/j.amc.2016.11.025

2016, Convective Flow and Heat Transfer from Wavy Surfaces: Viscous Fluids, Porous Media, and Nanofluids

2015, Free convection in a square cavity filled with a porous medium saturated by nanofluid using Tiwari and Das’ nanofluid model, Transport in Porous Media, 106, 595, 10.1007/s11242-014-0415-3

2015, Mixed convection in a lid-driven square cavity filled by a nanofluid: Buongiorno’s mathematical model, Applied Mathematics and Computation, 266, 792, 10.1016/j.amc.2015.05.145

2016, Recent progress on hybrid nanofluids in heat transfer applications: a comprehensive review, International Communications in Heat and Mass Transfer, 78, 68, 10.1016/j.icheatmasstransfer.2016.08.019

2011, Free convection in a triangle cavity filled with a porous medium saturated with nanofluids with flush mounted heater on the wall, International Journal of Thermal Sciences, 50, 2141, 10.1016/j.ijthermalsci.2011.06.005

2015, Heat transfer enhancement of low volume concentration of carbon nanotube-Fe3O4/water hybrid nanofluids in a tube with twisted tape inserts under turbulent flow, Journal of Thermal Science and Engineering Applications, 7, 21015, 10.1115/1.4029622

2011, Synthesis, Characterisation of Al2O3-Cu Nano Composite Powder and Water Based Nanofluids

2015, Effects of Al2O3-Cu/water hybrid nanofluid on heat transfer and flow characteristics in turbulent regime, International Journal of Modern Physics C, 26

2007, Performance analysis of nanofluid-cooled microchannel heat sinks, International Journal of Heat and Fluid Flow, 28, 1013, 10.1016/j.ijheatfluidflow.2007.01.007

2010, Porous Media: Applications in Biological Systems and Biotechnology

2009, Basic Control Volume Finite Element Methods for Fluids and Solids

2010, Applications of nanofluids: current and future, Advances in Mechanical Engineering, 2, 519