MHD natural convection in a square enclosure using carbon nanotubewater nanofluid with two isothermal fins

Year 2024, Volume: 42 Issue: 4, 1075 - 1087, 01.08.2024

Mohamed El Hattab Mustapha Boumhaout Soufiane Oukach

Abstract

This paper reports the numerical study of natural convection in a square enclosure filled with CNT-water nanofluid and exposed to a uniform external magnetic field. Heating is ensured by twothin fins. Using the control volume method, the effects of the fins position, their length and spacing as well as the solid volume fraction, the Rayleigh number and the Hartmann number on the thermal performance of the cavity were examined. The results obtained show that the heat transfer rate increases with the Rayleigh number, solid volume fraction and fins length; but decreases with Hartmann numbers. A comparison is also carried out between the results obtained from the Maxwell and Xue models. The results prove that the mean Nusselt number is higher based on the Xue model.

Keywords

CNT-Water Nanofluid, Magnetic Field, Natural Convection Thin Fin

References

• [1] De Vahl Davis G. Natural convection of air in a square cavity: A bench mark numerical solution. Int J Numer Methods Fluids 1983;3:249−264. [CrossRef]
• [2] Yildiz S. Investigation of natural convection heat transfer at constant heat flux along with a vertical and inclined plate. J Therm Eng 2018;4:2432−2444. [CrossRef]
• [3] Shi X, Khodadadi JM. Laminar natural convection heat transfer in a differentially heated square cavity due to a thin fin on the hot wall. J Heat Transf 2003;125:624−634. [CrossRef]
• [4] Tasnim SH, Collins MR. Numerical analysis of heat transfer in a square cavity with a baffle on the hot wall. Int Commun Heat Mass Transf 2004;31:639−650. [CrossRef]
• [5] Bilgen E. Natural convection in cavities with a thin fin on the hot wall. Int J Heat Mass Transf 2005;48:3493−3505. [CrossRef]
• [6] Ben-Nakhi A, Chamkha AJ. Effect of length and inclination of a thin fin on natural convection in a square enclosure. Numer Heat Transf A Appl 2006;50:381−399. [CrossRef]
• [7] Nardini G, Paroncini M, Vitali R. Natural convection in a square cavity with two baffles on the vertical walls: Experimental and numerical investigation. Int J Mech 2015;9:120−127.
• [8] Attouchi MT, Larbi S, Khelladi S. Effect of some parameters on natural convection heat transfer in finned enclosures - A case study. Int J Thermofluid Sci Technol 2022;9:090102. [CrossRef]
• [9] Santra AK, Sen S, Chakraborty N. Study of heat transfer augmentation in a differentially heated square cavity using copper water nanofluid. Int J Therm Sci 2007;47:1113−1122. [CrossRef]
• [10] Ho CJ, Chen MW, Li ZW. 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 2008;51:4506−4516. [CrossRef]
• [11] Aminossadati SM, Ghasemi B. Natural convection cooling of a localized heat source at the bottom of a nanofluid-filled enclosure. Eur J Mech B Fluids 2009;28:630−640. [CrossRef]
• [12] Suneetha S, Subbarayudu K, Bala Anki Reddy P. Hybrid nanofluids development and benefits: A comprehensive review. J Therm Eng 2022;8:445−455. [CrossRef]
• [13] El Hattab M, Lafdaili Z. Turbulent natural convection heat transfer in a square cavity with nanofluids in presence of inclined magnetic field. Therm Sci 2022;26:3201−3213. [CrossRef]
• [14] Ul Haq R, Nadeem S, Khan ZH, Noor NFM. Convective heat transfer in MHD slip flow over a stretching surface in the presence of carbon nanotubes. Phys B Condens Matter 2015;457:40−47. [CrossRef]
• [15] Tayebi T, Ferhat CE, Rezig N, Djezzar M. Free convection in a carbon nanotube-water nanofluid filled enclosure with power-law variation wall temperature. J Nanofluids 2016;5:531−542. [CrossRef]
• [16] Tayebi T, Chamkha AJ, Djezzar M. Natural convection of CNT-water nanofluid in an annular space between confocal elliptic cylinders with constant heat flux on inner wall. Sci Iran 2019;26:2770−2783.
• [17] Noranuar WNN, Mohamad AQ, Shafie S, Khan I. Unsteady free convection flow of water-based carbon nanotubes due to non-coaxial rotations of moving disk. J Appl Sci Eng 2022;25:501−510.
• [18] Borode AO, Ahmed NA, Olubambi PA. A review of heat transfer application of carbon-based nanofluid in heat exchangers. Nano Struct Nano Objects 2019;20:100394. [CrossRef]
• [19] Ali N, Bahman AM, Aljuwayhel NF, Ebrahim SA, Mukherjee S, Alsayegh A. Carbon-based nanofluids and their advances towards heat transfer applications-a review. Nanomaterials (Basel) 2021;11:1628. [CrossRef]
• [20] Ghasemi B, Aminossadati SM, Raisi A. Magnetic field effect on natural convection in a nanofluid-filled square enclosure. Int J Therm Sci 2011;50:1748−1756. [CrossRef]
• [21] Sourtiji E, Hosseinizadeh SF. Heat transfer augmentation of magnetohydrodynamics natural-convection in L-shaped cavities utilizing nanofluids. Therm Sci 2012;16:489−501. [CrossRef]
• [22] Mejri I, Mahmoudi A, Abbassi MA, Omri A. Magnetic field effect on entropy generation in a nanofluid-filled enclosure with sinusoidal heating on both side walls. Powder Technol 2014;266:340−353. [CrossRef]
• [23] Belhaj S, Ben-Beya B. Numerical simulation of unsteady MHD natural convection of CNT-water nanofluid in square cavity heated sinusoidally from below. Particul Sci Technol 2019;37:851−870. [CrossRef]
• [24] Hamid M, Khan ZH, Khan WA, Ul Haq RU. Natural convection of water-based carbon nanotubes in a partially heated rectangular fin-shaped cavity with an inner cylindrical obstacle. Phys Fluids 2019;31:103607. [CrossRef]
• [25] Sarala S, Geetha E, Nirmala M. Numerical investigation of heat transfer & hall effects on mhd nanofluid flow past over an oscillating plate with radiation. J Therm Eng 2022;8:757771. [CrossRef]
• [26] Gray DD, Giorgini A. The validity of the boussinesq approximation for liquids and gases. Int J Heat Mass Transf 1976;19:545−551. [CrossRef]
• [27] Job VM, Gunakala SR, Rushi Kumar B, Sivaraj R. Time-dependent hydromagnetic free convection nanofluid flows within a wavy trapezoidal enclosure. Appl Therm Eng 2017;115:363−377. [CrossRef]
• [28] Xuan Y, Roetzel W. Conceptions for heat transfer correlation of nanofluids. Int J Heat Mass Transf 2000;43:3701−3707. [CrossRef]
• [29] Brinkman HC. The viscosity of concentrated suspensions and solution. J Chem Phys 1952;20:571−581. [CrossRef]
• [30] Maxwell JC. A Treatise on Electricity and Magnetism. Oxford: Clarendon Press; 1891.
• [31] Patankar SV. Numerical Heat Transfer and Fluid-Flow. New York, USA: Hemisphere Publishing; 1980.
• [32] Teamah MA, El-Maghlany WM. 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 2012;58:130−142. [CrossRef]
• [33] Xue QZ. Model for thermal conductivity of carbon nanotube-based composites. Physica B Condens Matter 2005;368:302−307. [CrossRef]
• [34] Lee S, Choi SUS, Li S, Eastman JA. Measuring thermal conductivity of fluids containing oxide nanoparticles. J Heat Transf 1999;121:280−289. [CrossRef]
• [35] Abu-Nada E. Effects of variable viscosity and thermal conductivity of Al2O3–water nanofluid on heat transfer enhancement in natural convection. Int J Heat Fluid Flow 2009;30:679−690. [CrossRef]