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Technical Brief

Effect of Variable Sidewall Temperatures on the Combined Surface Radiation—Convection in a Discretely Heated Enclosure

[+] Author and Article Information
S. Saravanan

Professor
Department of Mathematics,
Bharathiar University,
Coimbatore 641 046, India
e-mail: sshravan@lycos.com

N. Raja

Department of Mathematics,
Bharathiar University,
Coimbatore 641 046, India

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received October 23, 2017; final manuscript received March 22, 2018; published online May 22, 2018. Assoc. Editor: Zhixiong Guo.

J. Heat Transfer 140(9), 094503 (May 22, 2018) (5 pages) Paper No: HT-17-1628; doi: 10.1115/1.4039912 History: Received October 23, 2017; Revised March 22, 2018

This paper reports the changes made in the flow and heat transfer characteristics of a closed enclosure in the presence of sidewalls with symmetrical linear heating. The flow inside the enclosure is primarily driven by a centrally placed discrete heater with thermal radiation included at all surfaces involved. Finite volume method-based computational results corresponding to the resulting steady-state were obtained. The factors causing augmentation and suppression of heat transfer are discussed for two types of sidewall heating. Moreover, it is found that the role of radiation is well stronger than convection in determining the total heat transfer rate when the sidewall heating is decreasing with height.

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References

Balaji, C. , and Venkateshan, S. P. , 1993, “ Interaction of Surface Radiation With Free Convection in a Square Cavity,” Int. J. Heat Fluid Flow, 14(3), pp. 260–267. [CrossRef]
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Wang, H. , Xin, S. , and Quere, P. L. , 2006, “ Numerical Study of Natural Convection-Surface Radiation Coupling in Air-Filled Square Cavities,” C. R. Mec., 334(1), pp. 48–57. [CrossRef]
Mezharb, A. , Bouali, H. , Amaoui, H. , and Bouzidi, M. , 2006, “ Computation of Combined Natural-Convection and Radiation Heat-Transfer in a Cavity Having a Square Body at Its Center,” Appl. Energy, 83(9), pp. 1004–1023. [CrossRef]
Sun, H. , Chenier, E. , and Lauriat, G. , 2011, “ Effect of Surface Radiation on the Breakdown of Steady Natural Convection Flows in a Square, Air-Filled Cavity Containing a Centered Inner Body,” Appl. Therm. Eng., 31(6–7), pp. 1252–1262. [CrossRef]
Saravanan, S. , and Sivaraj, C. , 2013, “ Coupled Thermal Radiation and Natural Convection Heat Transfer in a Cavity With a Heated Plate Inside,” Int. J. Heat Fluid Flow, 40, pp. 54–64. [CrossRef]
Saravanan, S. , and Sivaraj, C. , 2014, “ Surface Radiation Effect on Convection in a Closed Enclosure Driven by a Discrete Heater,” Int. Commun. Heat Mass Transfer, 53, pp. 34–38. [CrossRef]
Sathiyamoorthy, M. , Basak, T. , Roy, S. , and Pop, I. , 2007, “ Steady Natural Convection in a Square Cavity With Linearly Heated Side Wall(s),” Int. J. Heat Mass Transfer, 50(3–4), pp. 766–775. [CrossRef]
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Basak, T. , Roy, S. , Sharma, P. K. , and Pop, I. , 2009, “ Analysis of Mixed Convection Flows Within a Square Cavity With Linearly Heated Side Wall(s),” Int. J. Heat Mass Transfer, 52(9–10), pp. 2224–2242. [CrossRef]
Kefayati, G. H. R. , 2014, “ Natural Convection of Ferrofluid in a Linearly Heated Cavity Utilizing LBM,” J. Mol. Liq., 191, pp. 1–9. [CrossRef]
Siegel, R. , and Howell, J. R. , 2002, Thermal Radiation Heat Transfer, 4th ed., Taylor and Francis Group, New York.

Figures

Grahic Jump Location
Fig. 1

Physical configuration

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Fig. 2

Isotherms and streamlines of Sun et al. [6] reproduced, for Ra = 2 × 105 for: (a) εh = εc = εs = 0.0 and (b) εh = 0.05, εc = εs = 1

Grahic Jump Location
Fig. 3

Radiative fluxes along the insulated walls for (a) Ra = 103 and (b) Ra = 106. Solid line (——) corresponds to case (i) and dotted line (⋯⋯) corresponds to case (ii).

Grahic Jump Location
Fig. 4

Isotherms and streamlines for Ra = 103 and ε = 1: (a) case (i) and (b) case (ii)

Grahic Jump Location
Fig. 5

Isotherms and streamlines for Ra = 106 and for different ε: (a) ε = 0 and (b) ε = 1

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