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Magnetohydrodynamic Natural Convective Hybrid Nanofluid Flow in a Square Enclosure with Different Blocks

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Abstract

Magnetohydrodynamic natural convection of Cu–Al2O3/water hybrid nanofluid in a square enclosure in the presence of thermal radiation was studied. A hot square block and a cold elliptical block were considered inside the enclosure. The dimensionless equations were solved using the finite element technique. The flow and heat transfer behaviors of the fluid were analyzed by velocity distribution, isotherm, local Nusselt number and average Nusselt number with varying Rayleigh number (Ra), Hartmann number (Ha), volume fraction of nanoparticles (ϕ) and radiation parameter (Rd). Results showed that the heat transfer and the average Nusselt number increased for larger Rayleigh number and nanoparticle volume fractions. The heat transfer rate and velocity of the fluid decreased with increasing Ha. The minor vortex attached to the bottom of the cold block shrunk with larger Ra. However, the right vortex of the hot block increased for increasing Ha and Ra. For higher Rd, the flow velocity and heat transfer boosted up.

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The data that support the findings of this study are available from the corresponding author upon reasonable request.

References

  • Abdulkadhim A, Hamzah HK, Ali FH, Yıldız C, Abed AM, Abed EM, Arıcı M (2021) Effect of heat generation and heat absorption on natural convection of Cu-water nanofluid in a wavy enclosure under magnetic field. Int Commun Heat Mass Transfer 120:105024

    Article  Google Scholar 

  • Abu-Nada E (2010) Effects of variable viscosity and thermal conductivity of CuO-water nanofluid on heat transfer enhancement in natural convection: mathematical model and simulation. J Heat Transfer 132(5):052401

    Article  Google Scholar 

  • Abu-Nada E, Masoud Z, Hijazi A (2008) Natural convection heat transfer enhancement in horizontal concentric annuli using nanofluids. Int Commun Heat Mass Transfer 35:657–665

    Article  Google Scholar 

  • Ahmed SE, Aly AM (2019) Natural convection in a nanofluid-filled cavity with solid particles in an inner cross shape using ISPH method. Int J Heat Mass Transf 141:390–406

    Article  Google Scholar 

  • Alloui Z, Vasseur P, Reggio M (2011) Natural convection of nanofluids in a shallow cavity heated from below. Int J Therm Sci 50:385–393

    Article  Google Scholar 

  • Bondareva NS, Sheremet MA, Oztop HF, Abu-Hamdeh N (2016) Heatline visualization of MHD natural convection in an inclined wavy open porous cavity filled with a nanofluid with a local heater. Int J Heat Mass Transf 99:872–881

    Article  Google Scholar 

  • Brinkman HC (1952) The viscosity of concentrated suspensions and solutions. J Chem Phys 20:4

    Article  Google Scholar 

  • Cesini G, Paroncini M, Cortella G, Manzan M (1999) Natural convection from a horizontal cylinder in a rectangular cavity. Int J Heat Mass Transf 42:1801–1811

    Article  MATH  Google Scholar 

  • Choi SUS, Eastman JA (1995) Enhancing thermal conductivity of fluids with nanoparticles. Proc ASME Int Mech Eng Congress Exposition 231:99105

    Google Scholar 

  • Choi C, Jeong S, Ha MY, Yoon HS (2014) Effect of a circular cylinder’s location on natural convection in a rhombus enclosure. Int J Heat Mass Transf 77:60–73

    Article  Google Scholar 

  • Garoosi F, Bagheri G, Talebi F (2013) Numerical simulation of natural convection of nanofluids in a square cavity with several pairs of heaters and coolers (HACs) inside. Int J Heat Mass Transf 67:362–376

    Article  Google Scholar 

  • Izadi M, Maleki NM, Pop I, Mehryan SAM (2019a) Natural convection of a hybrid nanofluid subjected to non-uniform magnetic field within porous medium including circular heater. Int J Numer Meth Heat Fluid Flow 29(4):1211–1231

    Article  Google Scholar 

  • Izadi M, Mohebbi R, Delouei AA, Sajjadi H (2019b) Natural convection of a magnetizable hybrid nanofluid inside a porous enclosure subjected to two variable magnetic fields. Int J Mech Sci 151:154–169

    Article  MATH  Google Scholar 

  • Jamalabadi MYA, Ghassemi M, Hamedi MH (2013) Numerical investigation of thermal radiation effects on open cavity with discrete heat sources. Int J Numer Meth Heat Fluid Flow 23(4):649–661

    Article  MathSciNet  MATH  Google Scholar 

  • Kim BS, Lee DS, Ha MY, Yoon HS (2008) A numerical study of natural convection in a square enclosure with a circular cylinder at different vertical locations. Int J Heat Mass Transf 51:1888–1906

    Article  MATH  Google Scholar 

  • Lee J, Ha M, Yoon H (2010) Natural convection in a square enclosure with a circular cylinder at different horizontal and diagonal locations. Int J Heat Mass Transf 53:5905–5919

    Article  MATH  Google Scholar 

  • Mourad A, Aissa A, Mebarek-Oudina F, Jamshed W, Ahmed W, Ali HM, Rashad AM (2021) Galerkin finite element analysis of thermal aspects of Fe3O4-MWCNT/ water hybrid nanofluid filled in wavy enclosure with uniform magnetic field effect. Int Commun Heat Mass Transfer 126:105461

    Article  Google Scholar 

  • Narankhishig Z, Ham J, Lee H, Cho H (2021) Convective heat transfer characteristics of nanofluids including the magnetic effect on heat transfer enhancement—a review. Appl Therm Eng 193:116987

    Article  Google Scholar 

  • Pandey S, Park YG, Ha MY (2019) An exhaustive review of studies on natural convection in enclosures with and without internal bodies of various shapes. Int J Heat Mass Transf 138:762–795

    Article  Google Scholar 

  • Rahimi A, Saee AD, Kasaeipoor A, Malekshah EH (2019) A comprehensive review on natural convection flow and heat transfer. Int J Numer Meth Heat Fluid Flow 29(3):834–877

    Article  Google Scholar 

  • Raptis A (1998) Flow of a micropolar fluid past a continuously moving plate by the presence of radiation. Int J Heat Mass Transf 41(18):28652866

    Article  MATH  Google Scholar 

  • Roy NC (2018) Natural convection of nanofluids in a square enclosure with different shapes of inner geometry. Phys Fluids 30(11):113605

    Article  Google Scholar 

  • Roy NC, Saha LK, Siddiqa S (2021) Electrohydrodynamics and thermal radiation effects on natural convection flow in an enclosed domain. Int Commun Heat Mass Transfer 126:105437

    Article  Google Scholar 

  • Sadeghi MS, Tayebi T, Dogonchi AS, Nayak MK, Waqas M (2021) Analysis of thermal behavior of magnetic buoyancy-driven flow in ferrofluid–filled wavy enclosure furnished with two circular cylinders. Int Commun Heat Mass Transfer 120:104951

    Article  Google Scholar 

  • Safaei MR, Karimipour A, Abdollahi A, Nguyen TK (2018) The investigation of thermal radiation and free convection heat transfer mechanisms of nanofluid inside a shallow cavity by lattice Boltzmann method. Physica A 509:515–535

    Article  Google Scholar 

  • Sheikholeslami M, Rokni HB (2018) Numerical simulation for impact of Coulomb force on nanofluid heat transfer in a porous enclosure in presence of thermal radiation. Int J Heat Mass Transf 118:823–831

    Article  Google Scholar 

  • Sivan S, Venkitaraj KP, Selvakumar P, Chandrasekar M (2012) Effect of Al2O3-Cu/water hybrid nanofluid in heat transfer. Exp Thermal Fluid Sci 38:54–60

    Article  Google Scholar 

  • Sreedevi P, Reddy PS (2022) Effect of magnetic field and thermal radiation on natural convection in a square cavity filled with TiO2 nanoparticles using Tiwari-Das nanofluid model. Alex Eng J 61:1529–1541

    Article  Google Scholar 

  • Takabi B, Gheitaghy AM, Tazraei P (2016) Hybrid water-based suspension of Al2O3 and Cu nanoparticles on laminar convection effectiveness. J Thermophys Heat Transfer 30(3):523–532

    Article  Google Scholar 

  • Tayebi T, Chamkha AJ (2016) Free convection enhancement in an annulus between horizontal confocal elliptical cylinders using hybrid nanofluids. Numer Heat Transfer, Part A: Appl 70:1141–1156

    Article  Google Scholar 

  • Tayebi T, Djezzar M (2015) Numerical study of natural convection flow in a square cavity with linearly heating on bottom wall using copper-water nanofluid. J Nanofluids 4(1):38–49

    Article  Google Scholar 

  • Vijaybabu TR, 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 153–154:500–516

    Article  Google Scholar 

  • Yoon HS, Jung JH, Park YG (2012) Natural convection in a square enclosure with two horizontal cylinders. Numer Heat Transfer Part : Appl 62:701–721

    Article  Google Scholar 

Download references

Acknowledgments

Author (Rahat Amin) would like to express her sincere appreciation to the Ministry of Science and Technology, Government of the People's Republic of Bangladesh (MOST) for providing her research allowance for conducting this research.

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Authors and Affiliations

  1. Department of Mathematics, University of Dhaka, Dhaka, Bangladesh

    Nepal Chandra Roy & Rahat Amin

  2. Department of Mathematical Sciences, Universiti Kebangsaan Malaysia, Bangi, Selangor, Malaysia

    Anuar Ishak

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  1. Nepal Chandra Roy
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  2. Rahat Amin
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  3. Anuar Ishak
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Correspondence to Nepal Chandra Roy.

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Roy, N.C., Amin, R. & Ishak, A. Magnetohydrodynamic Natural Convective Hybrid Nanofluid Flow in a Square Enclosure with Different Blocks. Iran J Sci Technol Trans Mech Eng 47, 841–858 (2023). https://doi.org/10.1007/s40997-022-00556-3

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  • DOI: https://doi.org/10.1007/s40997-022-00556-3

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