Abstract
Mixed convective heat transfer in a lid-driven square enclosure in presence of discrete heat source at different location of the left wall is considered. The aim of this study is to analyze numerically the effect of external magnetic field inside the enclosure filled with \(Al_2O_3\)–water nanofluid, using Buongiorno’s two-phase model. The temperature of the right wall is lower than that of the heater, placed on the left wall. A control volume method over a staggered grid arrangement is used to discretize the governing equations. The discretized equations of two-dimensional continuity, momentum, energy and volume fraction are solved through a pressure correction based SIMPLE algorithm. The effect of several parameters such as Richardson number (\(0.1 \le Ri \le 5\)), Hartman number (0 \(\le Ha \le \) 60), nanoparticle volume fraction (0 \(\le \varphi _b \le \) 0.05) on the mixed convection of the nanofluid in heat transfer and entropy generation is studied by considering the position of the heat source to vary from bottom to top. The work has a remarkable contribution for the improvement of thermal performance with minimal energy consumption in several engineering applications.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Tiwari RK, Das MK (2007) Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids. Int J Heat Mass Transf 50(9–10):2002–2018. https://doi.org/10.1016/j.ijheatmasstransfer.2006.09.034
Xuan Y, Li Q (2003) Investigation on convective heat transfer and flow features of nanofluids. J Heat Transf 125(1):151–155. https://doi.org/10.1115/1.1532008
Basak T, Chamkha AJ (2012) Heatline analysis on natural convection for nanofluids confined within square cavities with various thermal boundary conditions. Int J Heat Mass Transf 55(21–22):5526–5543. https://doi.org/10.1016/j.ijheatmasstransfer.2012.05.025
Muftuoglu A, Bilgen E (2008) Conjugate heat transfer in open cavities with a discrete heater at its optimized position. Int J Heat Mass Transf 51(3–4):779–788. https://doi.org/10.1016/j.ijheatmasstransfer.2007.04.017
Sivasankaran S, Sivakumar V, Hussein AK (2013) Numerical study on mixed convection in an inclined lid-driven cavity with discrete heating. Int Commun Heat Mass Transf 46:112–125. https://doi.org/10.1016/j.icheatmasstransfer.2013.05.022
Öztop HF, Estellé P, Yan WM, Al-Salem K, Orfi J, Mahian O (2015) A brief review of natural convection in enclosures under localized heating with and without nanofluids. Int Commun Heat Mass Transf 60:37–44. https://doi.org/10.1016/j.icheatmasstransfer.2014.11.001
Chamkha AJ (2002) Hydromagnetic combined convection flow in a vertical lid-driven cavity with internal heat generation or absorption. Numer. Heat Transf.: Part A: Appl. 41(5):529–546. https://doi.org/10.1080/104077802753570356
Ghasemi B, Aminossadati SM, Raisi A (2011) Magnetic field effect on natural convection in a nanofluid-filled square enclosure. Int J Therm Sci 50(9):1748–1756. https://doi.org/10.1080/104077802753570356
Hussain S, Öztop HF, Mehmood K, Abu-Hamdeh N (2018) Effects of inclined magnetic field on mixed convection in a nanofluid filled double lid-driven cavity with volumetric heat generation or absorption using finite element method. Chin J Phys 56(2):484–501. https://doi.org/10.1016/j.cjph.2018.02.002
Buongiorno J (2006) Convective transport in nanofluids. J Heat Transf 128(3):240–250. https://doi.org/10.1115/1.2150834
Motlagh SY, Soltanipour H (2017) Natural convection of Al\(_2\)O\(_3\)-water nanofluid in an inclined cavity using Buongiorno’s two-phase model. Int J Therm Sci 111:310–320. https://doi.org/10.1016/j.ijthermalsci.2016.08.022
Ho CJ, Chen DS, Yan WM, Mahian O (2014) Rayleigh-Bénard convection of Al2O3/water nanofluids in a cavity considering sedimentation, thermophoresis, and Brownian motion. Int Commun Heat Mass Transf 22–26. https://doi.org/10.1016/j.icheatmasstransfer.2014.07.014
Garoosi F, Jahanshaloo L, Garoosi S (2015) Numerical simulation of mixed convection of the nanofluid in heat exchangers using a Buongiorno model. Powder Technol 269:296–311. https://doi.org/10.1016/j.powtec.2014.09.009
Patankar S (1980) Numerical heat transfer and fluid flow. CRC Press, Boca Raton. https://doi.org/10.1201/9781482234213
Oztop HF, Al-Salem K, Pop I (2011) MHD mixed convection in a lid-driven cavity with corner heater. Int J Heat Mass Transf 54(15–16):3494–3504. https://doi.org/10.1016/j.ijheatmasstransfer.2011.03.036
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Dutta, S., Bhattacharyya, S. (2021). Effect of Heating Location on Mixed Convection of a Nanofluid in a Partially Heated Enclosure with the Presence of Magnetic Field Using Two-Phase Model. In: Giri, D., Buyya, R., Ponnusamy, S., De, D., Adamatzky, A., Abawajy, J.H. (eds) Proceedings of the Sixth International Conference on Mathematics and Computing. Advances in Intelligent Systems and Computing, vol 1262. Springer, Singapore. https://doi.org/10.1007/978-981-15-8061-1_7
Download citation
DOI: https://doi.org/10.1007/978-981-15-8061-1_7
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-15-8060-4
Online ISBN: 978-981-15-8061-1
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)