Skip to main content

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

  • Conference paper
  • First Online:
Proceedings of the Sixth International Conference on Mathematics and Computing

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1262))

  • 341 Accesses

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

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. 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

    Article  MATH  Google Scholar 

  2. 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

    Article  Google Scholar 

  3. 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

    Article  Google Scholar 

  4. 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

    Article  MATH  Google Scholar 

  5. 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

    Article  Google Scholar 

  6. 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

    Article  Google Scholar 

  7. 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

    Article  Google Scholar 

  8. 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

    Article  Google Scholar 

  9. 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

    Article  Google Scholar 

  10. Buongiorno J (2006) Convective transport in nanofluids. J Heat Transf 128(3):240–250. https://doi.org/10.1115/1.2150834

    Article  Google Scholar 

  11. 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

    Article  Google Scholar 

  12. 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

  13. 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

    Article  MATH  Google Scholar 

  14. Patankar S (1980) Numerical heat transfer and fluid flow. CRC Press, Boca Raton. https://doi.org/10.1201/9781482234213

    Book  MATH  Google Scholar 

  15. 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

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Subhasree Dutta .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

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

Publish with us

Policies and ethics