Skip to main content
SpringerLink
Log in

Numerical Analysis of Natural Convection in a Partially Open Square Cavity with Multiple Heat Sources

  • Conference paper
  • First Online:
Theoretical, Computational, and Experimental Solutions to Thermo-Fluid Systems

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

Abstract

A numerical study has been done to investigate natural convection flow in a partially open square cavity, which consists of multiple heat sources at the bottom. In electronic systems generally, the chips are embedded in circuit boards, which are the primary sources of heat generation. Along with the increase in electronic miniaturization, the electronic density is also increasing. So an investigation has been carried out to know the effect of the presence of a number of heat sources on the heat transfer rate. Steady-state natural convection heat transfer in a partially open enclosure is studied numerically by solving the equation of momentum and energy using the algebraic multigrid solver of FLUENT 15. The optimum heat transfer rate and average Nusselt number are governed by the dimensionless spacing, height of the heat source, and the opening size. It is concluded that the average Nusselt number is influenced by the change in Rayleigh number, the dimensionless spacing between the heat source, opening size.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
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

Abbreviations

g :

Acceleration due to gravity m/s2

H :

Height of the enclosure m

L :

Length of the enclosure m

P :

Dimensionless pressure

p :

Pressure Pa

q :

Heat flux W/m2

U :

Dimensionless velocity in x direction

u :

Velocity in x direction m/s

V :

Dimensionless velocity in y direction

v :

Velocity in y direction m/s

X :

Dimensionless horizontal distance

x :

Horizontal distance m

Y :

Dimensionless vertical distance

y :

Vertical distance m

T :

Temperature K

ρ :

Density kg/m3

ν :

Kinematic viscosity m2/s

β:

Thermal expansion coefficient 1/K

References

  1. Du ZG, Bilgen E (1992) Coupling of wall conduction with natural convection in a rectangular enclosure. Int J Heat Mass Transf 35(8):1969–1975

    Article  Google Scholar 

  2. Aydin O, Yang WJ (2000) Natural convection in enclosures with localized heating from below and symmetrical cooling from sides. Int J Numer Methods Heat Fluid Flow 10(5):518–529

    Article  Google Scholar 

  3. Deng Q, Tang G, Li Y (2002) A combined temperature scale for analyzing natural convection in rectangular enclosures with discrete wall heat sources. 45:3437–3446

    Google Scholar 

  4. Ampofo F, Karayiannis TG (2003) Experimental benchmark data for turbulent natural convection in an air filled square cavity. Int J Heat Mass Transf 46(19):3551–3572

    Article  Google Scholar 

  5. Guo G, Sharif MAR (2004) Mixed convection in rectangular cavities at various aspect ratios with moving isothermal sidewalls and constant flux heat source on the bottom wall. Int J Therm Sci 43(5):465–475

    Article  Google Scholar 

  6. Bilgen E, Oztop H (2005) Natural convection heat transfer in partially open inclined square cavities. Int J Heat Mass Transf 48(8):1470–1479

    Article  Google Scholar 

  7. Incropera FP (2009) Convection heat transfer in electronic equipment cooling. J Heat Transfer 110(4b):1097

    Article  Google Scholar 

  8. Mustafa AW (2011) Natural convection in parabolic enclosure heated from below. Mod Appl Sci 5(3):76–85

    Article  Google Scholar 

  9. Nardini G, Paroncini M, Corvaro F (2014) Effect of heat transfer on natural convection in a square cavity with two source pairs. Heat Transf Eng 35(9):875–886

    Article  Google Scholar 

  10. Fontana É, Capeletto CA, Da Silva A, Mariani VC (2015) Numerical analysis of mixed convection in partially open cavities heated from below. Int J Heat Mass Transf 81:829–845

    Article  Google Scholar 

  11. Habiba F (2017) Natural convection flow in a square cavity with temperature dependent heat generation. IOSR J Math 13(03):10–17

    Article  Google Scholar 

Download references

Acknowledgements

The authors do hereby acknowledge the Department of Mechanical engineering, VSSUT Burla and TEQIP-III for providing all the infrastructure facility and financial support for carrying out this research work.

Author information

Authors and Affiliations

  1. Former PG Student, Departmant of Mechanical Engineering, VSSUT, Burla, Burla, India

    Gloria Biswal

  2. Departmant of Mechanical Engineering, VSSUT, Burla, Burla, Odisha, India

    Aurovinda Mohanty

Authors
  1. Gloria Biswal
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Aurovinda Mohanty
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Aurovinda Mohanty .

Editor information

Editors and Affiliations

  1. Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati, India

    Muthukumar Palanisamy

  2. Department of Mechanical Engineering, Anna University, Chennai, India

    Velraj Ramalingam

  3. Department of Mechanical Engineering, National Institute of Technology Rourkela, Rourkela, India

    Murugan Sivalingam

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

Biswal, G., Mohanty, A. (2021). Numerical Analysis of Natural Convection in a Partially Open Square Cavity with Multiple Heat Sources. In: Palanisamy, M., Ramalingam, V., Sivalingam, M. (eds) Theoretical, Computational, and Experimental Solutions to Thermo-Fluid Systems. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-33-4165-4_8

Download citation

  • DOI: https://doi.org/10.1007/978-981-33-4165-4_8

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-33-4164-7

  • Online ISBN: 978-981-33-4165-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation