Natural convection and surface thermal radiation in a tilted open shallow cavity
J.F. Hinojosa Palafox
University of Sonora, Hermosillo, Sonora, México, Blvd. Rosales y Luis Encinas s/n, 83000, e–mail: fhinojosa@iq.uson.mx
Recibido el 19 de septiembre de 2011.
Aceptado el 2 de diciembre de 2011.
Abstract
In this paper the numerical calculations of heat transfer by natural convection and surface radiation in a tilted open shallow cavity are presented. The cavity maintains the opposite wall to the aperture at a constant temperature while the remaining walls are adiabatic. The results in the steady state are obtained for a Rayleigh number range from 105 to 107, inclination angles from 45° to 135° and aspect ratios equal to 2 and 4. It was found that the exchange of thermal radiation between walls is considerably more relevant that the convective phenomenon for an inclination angle of 135°. Oscillations in the convective Nusselt number were observed for inclination angles of 45° (AR=4) and 90° (AR of 2 and 4) caused by the formation of thermal plumes in the bottom adiabatic wall that travel and mix with the thermal layer of the hot wall.
Keywords: Shallow open cavity; natural convection; thermal radiation.
PACS: 44.25.+f; 44.40.+a
DESCARGAR ARTÍCULO EN FORMATO PDF
References
]]>1. P. Le Quere, J.A Humphrey, and F.S. Sherman, Numer. Heat Tr. 4 (1981)249. [ Links ]
2. F. Penot, Numer. Heat Tr. 5 (1982) 421. [ Links ]
3. Y.L. Chan and C.L. Tien, Numer. Heat Tr. 8 (1985) 65. [ Links ]
4. Y.L. Chan and C.L. Tien, Int. J. Heat Mass Transfer 28 (1985) 603. [ Links ]
5. J.A. Humphrey and W.M. To, Int. J. Heat Mass Transfer 29 (1986) 593. [ Links ]
]]>6. M. Miyamoto, T.H. Kuehn, R.J. Goldstein, and Y. Katoh, Numer. Heat Tr. A–Appl. 15 (1989) 411. [ Links ]
7. K. Vafai and J. Ettefagh, Int. J. Heat Mass Transfer, 33 (1990) 2311. [ Links ]
8. K. Vafai and J. Ettefagh, Int. J. Heat Mass Transfer 33 (1990) 2329. [ Links ]
9. J.L. Lage, J.S. Lim, and A. Bejan, J. Heat Trans–TASME 114 (1992) 479. [ Links ]
10. D. Angirasa, M.J. Pourquie, and F.T. Nieuwstadt, Numerical Heat Transfer Part A 22 (1992) 223. [ Links ]
]]>11. C. Balaji and S.P. Venkateshan, Int. J. Heat Fluid Flow 15 (1994) 317. [ Links ]
12. C. Balaji and S.P. Venkateshan, Int. J. Heat Fluid Flow 16 (1995) 139. [ Links ]
13. A.A. Mohamad, Numer. Heat Tr. A–Appl. 27 (1995) 705. [ Links ]
14. D. Angirasa, J.G. Eggels, and F.T. Nieuwstadt, Numer. Heat Tr. A–Appl. 28 (1995) 755. [ Links ]
15. A.H. Abib and Y. Jaluria, Int. J. Heat Mass Transfer 38 (1995) 2489. [ Links ]
]]>16. I. Sezai and A.A. Mohamad, Int. J. Numerical Methods Heat Fluid Flow 8 (1998) 800. [ Links ]
17. K. Khanafer and K. Vafai, Int. J. Heat Mass Transfer 43 (2000) 4087. [ Links ]
18. K. Khanafer and K. Vafai, Int. J. Heat Mass Transfer, 45 (2002) 2527. [ Links ]
19. K. Khanafer, K. Vafai, and M. Lighstone, Int. J. Heat Mass Transfer 45 (2002)5171. [ Links ]
20. O. Polat and E. Bilgen, Int. J. Therm. Sci. 41 (2002) 360. [ Links ]
]]>21. O. Polat and E. Bilgen, Int. J. Heat Mass Transfer 46 (2003) 1563. [ Links ]
22. S.N. Singh and S.P. Venkateshan, Int. J. Therm. Sci. 43 (2004) 865. [ Links ]
23. E. Bilgen and H. Oztop, Int. J. Heat Mass Transfer 48 (2005) 1470. [ Links ]
24. J.F. Hinojosa, R.E. Cabanillas, G. Alvarez, and C.A. Estrada, Int. Commun. Heat Mass 32 (2005) 1184. [ Links ]
25. J.F. Hinojosa, R.E. Cabanillas, G. Alvarez, and C.A. Estrada, Numer. Heat Tr. A–Appl. 48 (2005) 179. [ Links ]
]]>26. J.F. Hinojosa, G. Alvarez, and C.A. Estrada, Rev. Mex. Fis. 52 (2006) 111. [ Links ]
27. H. Nouaneguea, A. Muftuoglua, and E. Bilgen, Int. J. Heat Mass Transfer 51 (2008) 6054. [ Links ]
28. A. Koca, Int. Commun. Heat Mass 35 (2008) 1385. [ Links ]
29. A.A. Mohamad, M. El–Ganaoui, and R. Bennacer, Int. J. Therm. Sci. 48 (2009) 1870. [ Links ]
30. S.K.S. Boetcher and E.M. Sparrow, Int. J. Heat Mass Transfer 52 (2009) 3850. [ Links ]
]]>31. J.F. Hinojosa and J. Cervantes de Gortari, Heat Mass Transfer 46 (2010) 595. [ Links ]
32. M.A. Hossain, S. Asghar and R.S.R. Gorla, Int. J. Numerical Methods Heat Fluid Flow 20 (2010) 759. [ Links ]
33. A.A. Mohamad and A. Kuzmin, Int. J. Heat Mass Transfer, 53 (2010) 990. [ Links ]
34. A. Andreozzi and O. Manca, Numer. Heat Tr. A–Appl., 57 (2010) 453. [ Links ]
35. J.O. Juárez, J.F. Hinojosa, J.P. Xaman, and M. Pérez, Int. J. Therm. Sci., 50 (2011)2184. [ Links ]
]]>36. M. Modest, Radiative Heat Transfer (McGraw–Hill, New York, USA, 1993). [ Links ]
37. P.H. Gaskell and A.K.C. Lau, Int. J. Numerical Methods Fluids 8 (1988)617. [ Links ]
38. J.P. Van Doormaal and G.D. Raithby, Numer. Heat Tr. 7 (1984) 147. [ Links ]
39. H.L. Stone, J. Numer. Analysis 5 (1968) 530. [ Links ]
40. A. Sanchez and T. Smith, J. Heat Trans–T ASME 114 (1992) 465–472. [ Links ]
]]>