Combined Natural Convection and Thermal Radiation in an Inclined Cubical Cavity with a Rectangular Pins Attached to Its Active Wall

Zerrin Sert, Mesut Tekkalmaz, Cisil Timuralp


Three dimensional combined natural convection and thermal radiation in an inclined cubic enclosure with pins attached to the active wall is investigated numerically. The vertical opposing walls are heated and cooled while the other walls are assumed to be adiabatic. The governing flow, momentum equations and the radiative transfer are solved using Fluent® 6.3 CFD software. In the discretization of the convection terms, the second order upwind scheme and for the solution algorithm SIMPLE is used. The cubic enclosure is filled with air and the flow is considered to be laminar. The properties of air are assumed to be constant except for the density variation for which the Boussinesq approximation is used. The surface to surface (S2S) heat model is used as the radiation transfer model. The computations are performed for Rayleigh number in the range 103≤Ra≤106 and for the surface emissivity (ε) 0≤ε≤1 while the inclination angle is varied 0°≤φ≤75°. The mean Nusselt number for convection and radiation transfer were evaluated as a function of Rayleigh number, emissivity and inclination angle and for some cases, the fluid flow and the temperature distributions were analyzed. The results showed that the mean total and radiative Nusselt number increases monotonically with increasing Ra number and the surface emissivity.


Heat transfer, Inclined cubic enclosure, Natural convection, S2S radiation

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. M. F. Baig and A. Masood, “Natural convection in a two-dimensional differentially heated square enclosure undergoing rotation”, Numerical Heat Transfer Part A: Applications, vol. 40, pp. 181-202, 2001.

. M. Rahman and M. A. R. Sharif, “Numerical study of laminar natural convection in inclined rectangular enclosures of various aspect ratios”, Numerical Heat Transfer Part A, vol. 44, pp. 355-373, 2003.

. L.F. Jin, K.W. Tou, C.P. Tso, “Effects of rotation on natural cooling from three rows of heat sources in a rectangular cavity”, International Journal of Heat and Mass Transfer, vol. 48, pp. 3982-3994, 2005.

. T.S. Cheng and W.H. Liu, “Effects of cavity inclination on mixed convection heat transfer in lid-driven cavity flows”, Computers & Fluids, vol.100, pp.108-122, 2014.

. H. Saleh and I. Hashim, “Conjugate natural convection heat transfer in a rotating enclosure”, Journal of Applied Fluid Mechanics, vol. 9, pp. 945-955, 2016.

. H. Li, S. Tong, “Natural convective heat transfer in the inclined rectangular cavities with low width-to-height ratios”, International Journal of Heat and Mass Transfer, vol. 93, pp. 398-407, 2016.

. U. V. Awasarmol and A. T. Pise, “An experimental investigation of natural convection heat transfer enhancement from perforated rectangular fins array at different inclinations”, Experimental Thermal and Fluid Science, vol. 68, pp. 145-154, 2015.

. N. Ramesh and S.P. Venkateshan, “Effect of surface radiation on natural convection in a square enclosure”, Journal of Thermophysics and Heat Transfer, vol. 13, pp. 299-301, 1999.

. H. Bouali, A. Mezrhab, H. Amaoui, M. Bouzidi, “Radiation-natural heat transfer in an inclined rectangular enclosure”, International Journal of Thermal Sciences, vol. 45, pp. 553-566, 2006.

. M. Rabhi, H. Bouali, A. Mezrhab, “Radiation-natural convection heat transfer in inclined rectangular enclosures with multiple partitions”, Energy Conversion and Management, vol. 49, pp. 1228-1236, 2008.

. H.F. Nouanegue, A. Muftuoglu, E. Bilgen, “Heat transfer by natural convection, conduction and radiation in an inclined square enclosure bounded with a solid wall”, International Journal of Thermal Sciences, vol. 48, pp. 871-880, 2009.

. V. Vivek, A.K. Sharma, C. Balaji, “Interaction effects between laminar natural convection and surface radiation in tilted square and shallow enclosures”, International Journal of Thermal Sciences, vol. 60, pp.70-84, 2012.

G. Colomer, M. Costa, R. Consul, A. Oliva, “Three dimensional numerical simulation of convection and radiation in a differentially heated cavity using the discrete ordinates method”, International Journal of Heat and Mass Transfer, vol. 47, pp. 257-269, 2004.

Z. Böcü and Z. Altaç, “Laminar natural convection heat transfer and air flow in three-dimensional rectangular enclosures with pin arrays attached to hot wall”, Applied Thermal Engineering, vol. 31, pp. 3189-3195, 2011.



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ISSN: 2303-4521

Digital Object Identifier DOI: 10.21533/pen

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This work is licensed under a Creative Commons Attribution 4.0 International License