Abstract
Natural convection is a suitable method for thermal control because of its low cost, longevity, and convenience over a wide range of applications. It is suitable for the stances of low heat dissipation. The phenomenon of natural convection from horizontal heated surfaces is associated with various industries and equipment. The present study focuses on explaining the heat transfer by natural convection to a pool of water from an upward-facing heater surface. Stainless steel (SS 304) plates of different aspect ratios maintained under uniform heat flux conditions are considered for this study. An infrared (IR) camera is used to measure the surface temperature of the heater plates. The temperature distribution along the plate during the heat transfer process is analysed. Convection currents emerging during the process are visualized using the shadowgraph technique. This research puts light on the effects of aspect ratio, length, and width of the heater on heat transfer during the natural convection process. It is observed that the Nusselt number is independent of the aspect ratio. However, the length and width of the heater individually govern the heat transfer process. Independently increasing the length and width of the heater results in an increase in the Nusselt number. The experimental data of the present study are compared statistically with the existing correlations. An empirical correlation is suggested for analysing the natural convection heat transfer process.
Similar content being viewed by others
Abbreviations
- A:
-
Surface area of the heater plate, mm2
- AR:
-
Aspect ratio
- Atm:
-
Atmospheric, bar
- Da:
-
Darcy Number
- DC:
-
Direct current
- DSLR:
-
Digital single-lens reflex
- Δ:
-
Difference
- f:
-
Fluid
- Gr:
-
Grashof number
- h, HTC:
-
Natural convection heat transfer coefficient, W/m2K
- I:
-
Current, A
- IR:
-
Infrared
- L:
-
Length of heater plate, mm
- Lc :
-
Characteristic length, mm
- Nu:
-
Nusselt number
- P:
-
Perimeter of heater plate, mm
- Pr:
-
Prandtl number
- Pt:
-
Platinum
- Q:
-
Heat transfer rate, W
- \(\dot{\mathrm{Q}}\) :
-
Heat flux, W/m2
- Qloss :
-
Power loss, W
- Ra:
-
Rayleigh number
- RTD:
-
Resistance temperature detector
- s:
-
Surface
- T:
-
Temperature, ℃
- U:
-
Uncertainty
- V:
-
Voltage, V
- W:
-
Width of heater plate, mm
References
Tumin A (2003) The spatial stability of natural convection flow on inclined plates. J Fluid Eng 125:428–437. https://doi.org/10.1115/1.1566047
Bejan A (2013) Convection Heat Transfer. 4th Edition, John Wiley & Sons, ISBN 978–0–470–90037–6
Cldtont JV, Chapman AJ (1969) Natural-convection on a finite-size horizontal plate. Heat Mass Transf 12:1573–1584. https://doi.org/10.1016/0017-9310(69)90092-1
Aquaro D, Pieve M (2007) High temperature heat exchangers for power plants: Performance of advanced metallic recuperators, Appl Therm Eng 27(2–3):389–400, ISSN 1359–4311. https://doi.org/10.1016/j.applthermaleng.2006.07.030
Oh CH, Kim ES, Patterson M (2009) Design Option of Heat Exchanger for the Next Generation Nuclear Plant. ASME J Eng Gas Turbines Power. March 2010 132(3):032903. https://doi.org/10.1115/1.3126780
Fabbri M, Jiang S, Dhir VK (2005) A comparative study of cooling of high power density electronics using sprays and microjets. ASME J Heat Transf 127(1): 38–48. https://doi.org/10.1115/1.1804205
Akyurek EF, Ceylan M, Manay E, Sahin B (2022) Combined free and forced convection of nanofluids in minichannels with different diameters. Heat Transf Res 53(6):1–22.https://doi.org/10.1615/HeatTransRes.2022040607
Gelis K, Akyurek EF (2021) Factorial design for convective heat transfer enhancement of hybrid nanofluids based on Al2O3-TiO2 in a double pipe mini heat exchanger. Heat Transf Res 52(15):41–62. https://doi.org/10.1615/HeatTransRes.2021039437
Corcion M (2007) Heat Transfer Correlations for Free Convection from Upward-Facing Horizontal Rectangular Surfaces. WSEAS Transact Heat Mass Transf 2
Pretot S, Zeghmati B, Le Palec G (2000) Theoretical and experimental study of natural convection on a horizontal plate. Appl Therm Eng 20:873-891, S1359-4311(99)00067-8
Calcagni B, Marsili F, Paroncini M (2005) Natural convective heat transfer in square enclosures heated from below. Appl Therm Eng 25(16):2522–2531, ISSN 1359–4311. https://doi.org/10.1016/j.applthermaleng.2004.11.032
Nardini G, Paroncini M, Vitali R (2015) Natural convection in a cavity with partially active side walls with and without a horizontal baffle. Heat Mass Transf 51:1791–1804. https://doi.org/10.1007/s00231-015-1540-4
Lewandowski WM, Radziemska E, Buzuk M, Bieszk H (2000) Free convection heat transfer and fluid flow above horizontal rectangular plates. Appl Energy 66:177–197. https://doi.org/10.1016/S0306-2619(99)00024-0
Al-arabi M, El-Riedy MK (1976) Natural convection heat transfer from isothermal horizontal plates of different shapes. Int J Heat Mass Transf 19(12):1399–1404. https://doi.org/10.1016/0017-9310(76)90069-7
Hassan K-E (1970) Salah A Mohamed, “Natural convection from isothermal flat surfaces.” Int J Heat Mass Transf 13(12):1873–1886. https://doi.org/10.1016/0017-9310(70)90090-6
Kitamura K, Kimura F (1995) Heat transfer and fluid flow of natural convection adjacent to upward-facing horizontal plates. Int J Heat Mass Transf 38(17):3149–3159. https://doi.org/10.1016/0017-9310(95)00066-I
Vliet GC (1969) Natural convection local heat transfer on constant heat flux inclined surfaces. ASME J Heat Transf 91(4):511–516. https://doi.org/10.1115/1.3580236
Globe S, Dropkin D (1959) Natural-convection heat transfer in liquids confined by two horizontal plates and heated from below. ASME J Heat Transf 81(1):24–28. https://doi.org/10.1115/1.4008124
Fujii T, Imura H (1972) Natural-convection heat transfer from a plate with arbitrary inclination. Int J Heat Mass Transf 15:755–767. https://doi.org/10.1016/0017-9310(72)90118-4
Garon AM, Goldstein RJ (1973) Velocity and heat transfer measurements in thermal convection. Phys Fluids 16:1818. https://doi.org/10.1063/1.1694219
Ishiguro R, Abe T, Nagase H (1977) Natural convection over heated horizontal plates. Trans Jap Soc Mech Engrs Ser B 43(366):638–645 (in Japanese)
Kozanoglu B, Lopez J (2007) Thermal boundary layer and the characteristic length on natural convection over a horizontal plate. Heat Mass Transfer 43:333–339. https://doi.org/10.1007/s00231-006-0114-x
Kathare V, Davidson JH, Kulacki FA (2008) Natural convection in water-saturated metal foam. Int J Heat Mass Transf 51:3794–3802. https://doi.org/10.1016/j.ijheatmasstransfer.2007.11.051
Chen TS, Tien HC, Armaly BF (1986) Natural convection on horizontal, inclined, and vertical plates with variable surface temperature or heat flux. J Heat Mass Transf 29(10):1465–1478. https://doi.org/10.1016/0017-9310(86)90061-X
Pretot S, Zeghmati B, Le Palec G (2000) Theoretical and experimental study of natural convection on a horizontal plate. Appl Therm Eng 20(10):873–891. https://doi.org/10.1016/S1359-4311(99)00067-8
Rotem Z, Claassen L (1969) Natural convection above unconfined horizontal surfaces. J Fluid Mech 39(1):173–192. https://doi.org/10.1017/S0022112069002102
Wirtz RA, Stutzman RJ (1982) Experiments on free convection between vertical plates with symmetric heating. ASME J Heat Transf 104(3):501–507. https://doi.org/10.1115/1.3245121
Chang YP (1956) A theoretical analysis of heat transfer in natural convection and in boiling. November 25–30, 1956, Contributed by the Heat Transfer Division and presented at a joint session with the Power Division at the Annual Meeting, New York
Clifton JV, Chapman AJ (1969) Natural convection on a finite-size horizontal plate. Heat Mass Transf 12:1573–1584. https://doi.org/10.1016/0017-9310(69)90092-1
Long RR (1976) Relation between Nusselt number and Rayleigh number in turbulent thermal convection. J Fluid Mech 73(3):445–451
Acknowledgements
The authors are grateful to the Ministry of Education, India for the financial assistance. The work is supported by the Grant under number I/SEED/HK/20180020. The authors are thankful to Mr. Vikram Singh and Mr. Bharat Bhati, staff of the Central workshop IIT Jodhpur for extending their helping hand towards fabricating the setup and test sections.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
On behalf of all authors, the corresponding author states that there is no conflict of interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Pattanayak, B., Lal, S.S. & Kothadia, H.B. Heat transfer and fluid flow during natural convection on upward facing heater. Heat Mass Transfer 59, 859–874 (2023). https://doi.org/10.1007/s00231-022-03300-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00231-022-03300-4