Skip to main content
SpringerLink
Log in

Natural Convection Heat Transfer Enhancement of Circular Obstacle within Square Enclosure

  • Published:
Journal of Thermal Analysis and Calorimetry Aims and scope Submit manuscript

Abstract

The natural convection heat transfer within the enclosure is a classical problem by highlighting the real field applications such as electronic packaging industry, PCR-chips for DNA amplification, energy-efficient design of buildings rooms, operation and safety of nuclear reactors, convective heat transfer within boilers, furnaces and solar systems and thermal energy storage. Hence, the present study numerically investigates the flow and heat transfer characteristics within the square enclosure having the heated circular obstacle at the middle with an air of constant thermophysical properties is considered as working fluid. Also, the study continues after introducing winglets at different angles, i.e. 00, 300, 450, 600, 700 and 900. The detailed hydrodynamic and thermal boundary conditions that are required considered and mentioned. The influence of circular obstacle with and without winglets has been reported by comparing velocity and vorticity magnitude also estimating natural convection heat transfer from obstacles. The heat transfer of the enclosure is maximum when the winglet is placed at 450, because of the flow confinement provided and also allowing the fluid to interact more with the hot obstacle and carries more heat. In highest Rayleigh number, the following heat transfer enhancement has been achieved, circle-circle with winglet @ 450 = 10.58%.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16

Similar content being viewed by others

Abbreviations

Th :

Hot wall temperature (K)

Tc :

Cold wall temperature (K)

L:

Characteristic length (m)

G:

Gravitational pull (m s−2)

d:

Diameter of the obstacle (m)

Nu:

Nusselt number

Ra:

Rayleigh number

Cp :

Pressure coefficient

\(p\) :

Static pressure at the point where pressure coefficient is being measured

\(p_{\infty }\) :

Free stream static pressure

\(p_{^\circ }\) :

Free stream stagnation pressure

\(\rho_{\infty }\) :

Free stream fluid density

\(V_{\infty }\) :

Free stream fluid velocity

Cf :

Skin friction coefficient

\(\tau_{\text{w}}\) :

Skin shear stress on the surface

\({\uprho }\) :

Fluid density

h:

Convective heat transfer coefficient (w K−1 m−2)

k:

Thermal conductivity (w K−1 m−1)

v:

Kinematic viscosity (m2 s−1)

β:

Thermal expansion coefficient (K−1)

α:

Thermal diffusivity (m2 s−1)

T:

Surface temperature (K)

T∞ :

Bulk mean temperature (K)

U:

Average velocity magnitude (m s−1)

U* :

Non-dimensional velocity

W:

Vorticity magnitude (s−1)

W* :

Non–dimensional vorticity

References

  1. Hussain S, Hussein A. Numerical investigation of natural convection phenomena in a uniformly heated circular cylinder immersed in square enclosure filled with air at different vertical locations. IntCommun Heat Mass Transfer. 2010;37:1115–26.

    Article  Google Scholar 

  2. Bararnia H, Soleimani S, Ganji DD. Lattice Boltzmann simulation of natural convection around a horizontal elliptic cylinder inside a square enclosure. IntCommun Heat Mass Transfer. 2011;38:1436–42.

    Article  Google Scholar 

  3. De AK, Dalal A. A numerical study of natural convection around a square, horizontal, heated cylinder placed in an enclosure. Int J Heat Mass Transf. 2006;49(23):4608–23.

    Google Scholar 

  4. Lee JM, Ha MY, Yoon HS. Natural convection in a square enclosure with a circular cylinder at different horizontal and diagonal locations. Int J Heat Mass Transf. 2010;53:5905–19.

    Article  Google Scholar 

  5. Kim BS, Lee DS, Ha MY, Yoon HS. A numerical study of natural convection in a square enclosure with a circular cylinder at different vertical locations. Int J Heat Mass Transf. 2008;51(7):1888–906.

    Article  CAS  Google Scholar 

  6. Kim M, Doo JH, Park YG, Yoon HS, Ha MY. Natural convection in a square enclosure with a circular cylinder according to the bottom wall temperature variation. J MechSci Tech. 2014;28(12):5013–25.

    Article  Google Scholar 

  7. Khozeymehnezhad H, Mirbozorgi SA. Comparison of natural convection around a circular cylinder with a square cylinder inside a square enclosure. J MechEng Automation. 2014;2(6):176–83.

    Article  Google Scholar 

  8. Afzal A, Mohammed Samee AD, Abdul Razak RK, et al. Effect of spacing on thermal performance characteristics of Li-ion battery cells. J Therm Anal Calorim. 2019;135:1797–811.

    Article  CAS  Google Scholar 

  9. Lee JM, Ha MY, Yoon HS. Natural convection in a square enclosure with a circular cylinder at different horizontal and diagonal locations. Int J Heat Mass Transf. 2010;53(25–26):5905–19.

    Article  Google Scholar 

  10. De Kumar A, Dalal A. A numerical study of natural convection around a square, horizontal, heated cylinder placed in an enclosure. Int J Heat Mass Transf. 2006;49(23–24):4608–23.

    Article  Google Scholar 

  11. Park HK, Ha MY, Yoon HS, Park YG, Son C. A numerical study on natural convection in an inclined square enclosure with a circular cylinder. Int J Heat Mass Transf. 2013;66:295–314.

    Article  Google Scholar 

  12. Park YG, Yoon HS, Ha MY. Natural convection in square enclosure with hot and cold cylinders at different vertical locations. Int J Heat Mass Transf. 2012;55(25–26):7911–25.

    Article  Google Scholar 

  13. Roy NC. Natural convection of nanofluids in a square enclosure with different shapes of inner geometry. Phys Fluids. 2018;30(11):113605.

    Article  Google Scholar 

  14. Yuan X, Tavakkoli F, Vafai K. Analysis of Natural Convection in Horizontal Concentric Annuli of Varying Inner Shape. Numerical Heat Transfer, Part A: Applications. 2015;68(11):1155–74.

    Article  Google Scholar 

  15. Shadlaghani A, Farzaneh M, Shahabadi M. Numerical investigation of serrated fins on natural convection from concentric and eccentric annuli with different cross sections. J Therm Anal Calorim. 2019;135:1429–42.

    Article  CAS  Google Scholar 

  16. Minea AA. Numerical studies on heat transfer enhancement in different closed enclosures heated symmetrically. J Therm Anal Calorim. 2015;121:711–20.

    Article  CAS  Google Scholar 

  17. Talesh Bahrami HR, Safikhani H. Heat transfer enhancement inside an eccentric cylinder with an inner rotating wall using porous media: a numerical study. J Therm Anal Calorim. (2020).

  18. Hasnaoui M, Vasseur P, Bilgen E. Natural convection in rectangular enclosures with adiabatic fins attached on the heated wall. Warme- und Stoffubertragung. 1992;27:357–68.

    Article  CAS  Google Scholar 

  19. Varol Y, Oztop HF, Pop I. Natural convection in right-angle porous trapezoidal enclosure with partially cooled from inclined wall. IntCommun Heat Mass Transfer. 2009;36(1):6–15.

    Article  CAS  Google Scholar 

  20. Pishkar I, Ghasemi B, Raisi A, et al. Numerical study of unsteady natural convection heat transfer of Newtonian and non-Newtonian fluids in a square enclosure under oscillating heat flux. J Therm Anal Calorim. 2019;138:1697–710.

    Article  CAS  Google Scholar 

  21. Shakerin S, Bohn M, Loehrke RI. Natural convection in an enclosure with discrete roughness elements on a vertical heated wall. Int J Heat Mass Transf. 1988;31(7):1423–30.

    Article  Google Scholar 

  22. Frederick RL. Natural convection in an inclined square enclosure with a partition attached to its cold wall. Int J Heat Mass Transf. 1989;32(1):87–94.

    Article  Google Scholar 

  23. Zhao X, Jiaqiang E, Zhang Z, Chen J, Liao G, Zhang F, Leng E, Han D, Hu Wenyu. A review on heat enhancement in thermal energy conversion and management using Field Synergy Principle. Appl Energ. (2020); 257(C).

  24. Jiaqiang E, Han D, Deng Y, Zuo W, Qian C, Wu G, Zhang Z. Performance enhancement of a baffle-cut heat exchanger of exhaust gas recirculation. ApplThermEng. 2018;134:86–94.

    Google Scholar 

  25. Pendyala R, Wong Y, Ilyas S. CFD simulations of natural convection heat transfer in enclosures with varying aspect ratios. Chem Eng Trans; (2015). 45.

  26. Mohammad Mehdi Keshtkar and Mohammad Ghazanfari. Numerical investigation of fluid flow and heat transfer inside a 2D enclosure with three hot obstacles on the ramp under the influence of a magnetic field. EngTechnApplSci Res. 2017;7(3):1647–57.

    Google Scholar 

  27. Sarris IE, Lekakis I, Vlachos NS. Natural convection in rectangular tanks heated locally from below. Int J Heat Mass Transf. 2004;47:3549–63.

    Article  Google Scholar 

  28. Rincón-Casado FJ, Sánchez de la Flor E, Chacón V, Sánchez Ramos J. New natural convection heat transfer correlations in enclosures for building performance simulation. Engi Appl Comput Fluid Mech. 2017; 11:340–356.

  29. Lim KO, Lee KS, Song TH. Primary and secondary instabilities in a glass-melting surface. Numer Heat Trans. 1999; 36309–32.

  30. Ramesh N, Venkateshan S. Experimental study of natural convection in a square enclosure using differential interferometer. Int J Heat Mass Transf. 2001;44(6):1107–17.

    Article  Google Scholar 

  31. Ostrach S. Natural Convection in Enclosures. J Heat Transfer. 1988;110:1175–90.

    Article  CAS  Google Scholar 

Download references

Acknowledgements

We sincerely thank and appreciate the Mechanical Engineering Department SRMIST for giving us the chance to work in their facilities and letting us have access in the product development lab and computer Fluid Dynamics lab to the technology and modelling facility.

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, SRM Institute of Science and Technology, Chennai, 603203, India

    Shaik Subhani & Rajendran Senthil kumar

Authors
  1. Shaik Subhani
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Rajendran Senthil kumar
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Rajendran Senthil kumar.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Subhani, S., kumar, R.S. Natural Convection Heat Transfer Enhancement of Circular Obstacle within Square Enclosure. J Therm Anal Calorim 147, 4711–4729 (2022). https://doi.org/10.1007/s10973-021-10829-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10973-021-10829-9

Keywords

Search

Navigation