Abstract.
The entropy generation during the transient laminar natural convection in a square enclosure that is partially heated from a vertical lateral wall is numerically investigated. The active sites referring to the main irreversibility locations are determined. The Boussinesq approximation is used in the natural convection modelling. The effects of Prandtl (Pr) and Rayleigh (Ra) number combinations on the entropy generation are investigated. The study is restricted to the fluids of Prandtl number from 0.01 to 1.0, and Rayleigh numbers in the range of 102–108. It is found that the upper corner of the heated part of the side wall is the active site where the entropy generation initiates due to irreversibilities representing the energy loss.
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References
Catton I (1978) Natural convection in enclosures. Proc 6th Int Heat Transfer Conf 6: 13–31
Yang KT (1987) Convective heat transfer. In: Kakaç S, Shah RK, Aung W (eds) Handbook of single-phase convective heat transfer, John Wiley
Ostrach S (1988) Natural convection in enclosures. J Heat Transfer 110: 1175–1190
Kakaç S; Yener Y (1995) Convective heat transfer. CRC Press 2nd edn
Bejan A (1995) Convective heat transfer. John Wiley & Sons. Inc
De Vahl Davis G; Jones IP (1983) Natural convection in a square cavity: a comparison exercise. Int J Numer Meth Fluids 3: 227–248
Poilikakos D (1985) Natural convection in a confined fluid-filled space driven by a single vertical wall with warm and cold regions. J Heat Transfer 107: 867–876
Ayhan O; Ünal A; Ayhan T (1997) Numerical solutions for buoyancy-driven flow in a 2-D square enclosure heated from one side and cooled from above. In: Davis GV; Leonardi E (eds) Advanced in Computational Heat Transfer, TR
Küblbeck K; Merker GP; Straub J (1980) Advance numerical computation of two-dimensional time-dependent free convection in cavities. Int J Heat Mass Transfer 23: 203–217
Lage JL; Bejan A (1991) The Ra–Pr domain of laminar natural convection in an enclosure heated from the side. Numer Heat Transfer Part A 19: 21–41
Pepper DW; Hollands KGT (2001) Benchmark summary of numerical studies: 3-D natural convection in an air-filled enclosure. In: Davis GV; Leonardi E (eds) Advanced in Computational Heat Transfer II, Ausralia
Yücel N; Türkoğlu H (1994) Natural convection in rectangular enclosures with partial heating and cooling. Warme- und Stuffübertragung 29: 471–478
Türkoğlu H; Yücel N (1995) The effect of heater and cooler locations on natural convection in square cavities. Numer Heat Transfer Part A 27: 351–358
Fukui T; Ishihara I; Matsumoto R (2001) Natural convection in an vertical rectangular enclosure with symmetrically localized heating and cooling zones. In: Davis GV; Leonardi E (eds) Advanced in Computational Heat Transfer II, Ausralia
Bejan A (1980) Second law analysis in heat transfer. Energy - The Int J 5: 721–732
Bejan A (1996) Entropy Generation Minimization. CRC Press, USA
Bejan A (1994) Entropy generation through heat and fluid flow. John Wiley & Sons Inc., Canada
San JY; Worek WM; Lavan Z (1987) Entropy generation in combined heat and mass transfer. Int J Heat Mass Transfer 30(7): 1359–1369
Krane RJ (1987) A Second law analysis of the optimum design and operation of thermal energy storage systems. Int J Heat Mass Transfer 30: 43–57
Arpacı VS (1993) Radiative entropy production-lost heat into entropy. Int J Heat Mass Transfer 36: 4193–4197
Tsatsaronis G (1995) Design optimization of thermal systems using exergy-based techniques. In: Sciubba E, Moran MJ (eds) Second Law Analysis: Towards the 21 st Century, Roma
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Berrin Erbay, L., Altaç, Z. & Sülüş, B. Entropy generation in a square enclosure with partial heating from a vertical lateral wall. Heat Mass Transfer 40, 909–918 (2004). https://doi.org/10.1007/s00231-003-0497-x
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DOI: https://doi.org/10.1007/s00231-003-0497-x