Skip to main content

Natural Convection from Two Cylinders in an Enclosure with Sinusoidal Bottom Wall: A Numerical Study

  • Conference paper
  • First Online:
Recent Advances in Mechanical Engineering

Abstract

Unsteady laminar natural convection within a square enclosure with wavy bottom wall embedded with a couple of circular cylinders placed in the vertically symmetric mid-plane is numerically investigated. Present study numerically quests for four different interspacings of the cylinders ranges \(0.1 \le S \le 0.4\) and for Rayleigh number (Ra) in the range of 103–106. The results are discussed based on distribution of isotherms, streamlines, and temporal distribution of surface-averaged Nusselt number (Nus) along with the time-averaged Nusselt number (Nut). The outcome of the investigation infers that heat transfer takes place solely due to conduction up to Ra = 103, whereas the heat transfer shifts the mode from conduction to convection with increase in Ra. Further, Nut is found to increase with increase in S at lower values of Ra. Moreover, for higher values of Ra, the variation of Nut evaluated at the surface of the cylinders shows contrasting features with changing cylinder spacing.

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
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover 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. S. Bhardwaj, A. Dalal, S. Pati, Influence of wavy wall and non-uniform heating on natural convection heat transfer and entropy generation inside porous complex enclosure. Energy 79, 467–481 (2015)

    Article  Google Scholar 

  2. P. Meshram, S. Bhardwaj, A. Dalal, S. Pati, Effects of inclination angle on natural convection heat transfer and entropy generation in square porous enclosure. Numer. Heat Transf. Part A Appl. 70, 1271–1296 (2016)

    Article  Google Scholar 

  3. S. Dutta, A.K. Biswas, S. Pati, Analysis of natural convection in a rhombic enclosure with undulations of the top wall—a numerical study. Int. J. Ambient Energy (2019). https://doi.org/10.1080/01430750.2019.1630304

    Article  Google Scholar 

  4. S. Dutta, A.K. Biswas, S. Pati, Numerical analysis of natural convection heat transfer and entropy generation in a porous quadrantal cavity. Int. J. Numer. Methods Heat Fluid Flow 29, 4826–4849 (2019)

    Article  Google Scholar 

  5. S. Dutta, N. Goswami, A.K. Biswas, S. Pati, Numerical investigation of magnetohydrodynamic natural convection heat transfer and entropy generation in a rhombic enclosure filled with Cu-water nanofluid. Int. J. Heat Mass Transf. 136, 777–798 (2019)

    Article  Google Scholar 

  6. S. Dutta, A.K. Biswas, S. Pati, Natural convection heat transfer and entropy generation inside porous quadrantal enclosure with non-isothermal heating at the bottom wall. Numer. Heat Transf. Part A Appl. 73, 222–240 (2018)

    Article  Google Scholar 

  7. N.K. Ghaddar, Natural convection heat transfer between a uniformly heated cylindrical element and its rectangular enclosure. Int. J. Heat Mass Transf. 35(10), 2327–2334 (1992)

    Article  Google Scholar 

  8. R.O. Warrington Jr., R.E. Powe, The transfer of heat by natural convection between bodies and their enclosures. Int. J. Heat Mass Transf. 28(2), 319–330 (1985)

    Article  Google Scholar 

  9. D.G. Roychowdhury, S.K. Das, T. Sundararajan, Numerical simulation of natural convective heat transfer and fluid flow around a heated cylinder inside an enclosure. Heat Mass Transf. 38, 565–576 (2002)

    Article  Google Scholar 

  10. D. Bhowmick, P.R. Randive, S. Pati, H. Agrawal, A. Kumar, P.K. Srivastava, Natural convection heat transfer and entropy generation from a heated cylinder of different geometry in an enclosure with non-uniform temperature distribution on the walls. J. Therm. Anal. Calorim. 141, 839–857 (2020)

    Article  Google Scholar 

  11. S.H. Hussain, A.K. Hussein, Numerical investigation of natural convection phenomena in a uniformly heated circular cylinder immersed in square enclosure filled with air at different vertical locations. Int. Commun. Heat Mass Transf. 37(8), 1115–1126 (2010)

    Article  Google Scholar 

  12. Y.G. Park, M.Y. Ha, H.S. Yoon, Study on natural convection in a cold square enclosure with a pair of hot horizontal cylinders positioned at different vertical locations. Int. J. Heat Mass Transf. 65, 696–712 (2013)

    Article  Google Scholar 

  13. F. Karimi, H.T. Xu, Z. Wang, M. Yang, Y. Zhang, Numerical simulation of unsteady natural convection from heated horizontal circular cylinders in a square enclosure. Numer. Heat Transf. Part A Appl. 65(8), 715–731 (2014)

    Article  Google Scholar 

  14. G.C. Pal, N. Goswami, S. Pati, Numerical investigation of unsteady natural convection heat transfer and entropy generation from a pair of cylinders in a porous enclosure. Numer. Heat Transf. Part A Appl. 74(6), 1323–1341 (2018)

    Article  Google Scholar 

  15. D. Bhowmick, S. Chakravarthy, P. Randive, S. Pati, Numerical investigation on the effect of magnetic field on natural convection heat transfer from a pair of embedded cylinders within a porous enclosure. J. Therm. Anal. Calorim. 141, 2405–2427 (2020)

    Google Scholar 

  16. S. Dutta, S. Pati, A.K. Biswas, Thermal transport analysis for natural convection in a porous corrugated rhombic enclosure. Heat Transf. 49, 3287–3313 (2020)

    Google Scholar 

  17. S. Dutta, N. Goswami, S. Pati, A.K. Biswas, Natural convection heat transfer and entropy generation in a porous rhombic enclosure: Influence of non-uniform heating. J. Therm. Anal. Calorim. https://doi.org/10.1007/s10973-020-09634-7

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Dhrijit Kumar Deka .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 The Editor(s) (if applicable) and 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

Deka, D.K., Pal, G.C., Pati, S., Randive, P.R. (2021). Natural Convection from Two Cylinders in an Enclosure with Sinusoidal Bottom Wall: A Numerical Study. In: Pandey, K., Misra, R., Patowari, P., Dixit, U. (eds) Recent Advances in Mechanical Engineering. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-7711-6_36

Download citation

  • DOI: https://doi.org/10.1007/978-981-15-7711-6_36

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-7710-9

  • Online ISBN: 978-981-15-7711-6

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics