Numerical analysis of the effect of radiation on laminar steady natural convection in a two-dimensional participating medium between two horizontal confocal elliptical cylinders

Numerical Heat Transfer; Part A: Applications

Volumn 35, Issue 5, 1999, Pages 467-494

  Borjini, Mohamed Naceur ^a   Mbow, Cheikh ^a   Daguenet, Michel ^a  

^a UNIVERSITÉ DE PERPIGNAN   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CYLINDERS (SHAPES); EQUATIONS OF MOTION; FINITE VOLUME METHOD; LAMINAR FLOW; NATURAL CONVECTION; NUMERICAL ANALYSIS; PARAMETER ESTIMATION; RADIATION; VORTEX FLOW;

CONTROL VOLUME TECHNIQUE; HORIZONTAL CONFOCAL ELLIPTICAL CYLINDERS; RADIATIVE TRANSFER; STREAM FUNCTION;

COMPUTATIONAL FLUID DYNAMICS;

EID: 0032655082     PISSN: 10407782     EISSN: 15210634     Source Type: Journal    
DOI: 10.1080/104077899275119     Document Type: Article

References (38)

1. T. H. Kuehn and R. J. Goldstein, An Experimental and Theoretical Study of Natural Convection in the Annulus Between Horizontal Concentric Cylinders, J. Fluid Mech, vol. 74, pp. 695-719, 1976.
2. T. H. Kuehn and R. J. Goldstein, An experimental Study of Natural Convection Heat Transfer in Concentric and Eccentric Horizontal Cylindrical Annuli, J. Heat Transfer, vol. 100, pp. 635-640, 1978.
3. U. Projahn, H. Rieger, and H. Beer, Numerical Analysis of Laminar Natural Convection Between Concentric and Eccentric Cylinders, Numer. Heat Transfer, vol. 4, pp. 131-146, 1981.
4. K. C. Karki and S. V. Patankar, Solution of Some Two-Dimensional Incompressible Flow Problems Using a Curvilinear Coordinate System Based Calculation Procedure, Numer. Heat Transfer, vol. 14, pp. 309-321, 1988.
5. B. O. Pedersen, H. C. Doepken, and P. C. Bolin, Development of a Compressed-Gas-Insulated Transmission Line, in IEEE Winter Power Meeting, paper 71 TP 193-PWR, 1971.
6. F. Kreith and R. Anderson, Natural Convection in Solar Systems, in Natural Convection Fundamentals and Applications, C. Kabac, W. Wang, and R. Viskanta (eds.), pp. 881 -939, Springer-Verlag, New York, 1985.
7. U. Ortabasi and F. Fehlner, Cusp Mirror-Heat Pipe Evacuated Tubular Solar Thermal Collector, Solar Energy, vol. 24, pp. 477-489, 1980.
8. J. J. O’Gallagher, K. Snail, R. Winston, C. Peek, and J. D. Garrison, A New Evacuated CPC Collector Tube, Solar Energy, vol. 29, pp. 575-577, 1982.
9. J. H. Lee and T. S. Lee, Natural Convection in the Annuli Between Horizontal Confocal Elliptic Cylinders, Int. J. Heat Mass Transfer, vol. 24, pp. 1739-1742, 1981.
10. W. C. Schreiber and S. N. Singh, Natural Convection Between Confocal Horizontal Elliptical Cylinders, Int. J. Heat Moss Transfer, vol. 28, pp. 807-822, 1985.
11. M. M. Elshamy, M. N. Ozisik, and J. P. Coulter, Correlation for Laminar Natural Convection Between Confocal Horizontal Elliptical Cylinders, Numer. Heat Transfer, Part A, vol. 18, pp. 95-112, 1990.
12. S. O. Onyegegbu, Heat Transfer Inside a Horizontal Cylindrical Annulus in the Presence of Thermal Radiation and Buoyancy, Int. J. Heat Moss Transfer, vol. 29, pp. 659-671, 1986.
13. Z. Tan and J. R. Howell, Combined Radiation and Natural Convection in a Participating Medium Between Horizontal Concentric Cylinders, Natl. Heat Transfer Conf., Heat Transfer Phenomena in Radiation, Combustion and Fires, vol. 106, pp. 87-94, 1989.
14. K. T. Yang, Numerical Modeling of Natural Convection-Radiation Interactions in Enclosures, Heat Transfer, Eighth Int. Heat Transfer Conf., vol. 1, pp. 131-140, Hemisphere, Washington, D.C., 1986.
15. L. C. Chang, K. T. Yang, and J. R. Lioyd, Radiation-Natural Convection Interactions in Two-Dimensional Complex Enclosures, J. Heat Transfer, vol. 105, pp. 89-95, 1983.
16. B. W. Webb and R. Viskanta, Radiation-Induced Buoyancy-Driven Flow in Rectangular Enclosures: Experiment and Analysis, ASME J. Heat Transfer, vol. 109, pp. 427-433, 1987.
17. G. Desreyaud and G. Lauriat, Natural Convection of a Radiating Fluid in a Vertical Layer, ASME J. Heat Transfer, vol. 107, pp. 710-712, 1985.
18. T. Fusegi and B. Farouk, Laminar and Turbulent Natural Convection-Radiation Interactions in a Square Enclosure Filled with a Nongray Gas, Numer. Heat Transfer, vol. 15, pp. 303-322, 1989.
19. R. D. Cess, On the Differential Approximation in Radiative Transfer, Z. Angew. Math. Phys, vol. 17, pp. 776-781, 1966.
20. A. Yucel, S. Acharya, and M. L. Williams, Natural Convection and Radiation in a Square Enclosure, Numer. Heat Transfer, vol. 15, pp. 261-277, 1989.
21. W. A. Fiveland, Discrete Ordinate Solutions of the Radiation Transport Equation of Rectangular Enclosures, J. Heat Transfer, vol. 106, pp. 699-706, 1984.
22. R. Siegel and J. R. Howell, Thermal Radiation Heat Transfer, 3rd ed., Hemisphere, New York, 1992.
23. Z. Tan and J. R. Howell, Combined Radiation and Natural Convection in a Two-Dimensional Participating Square Medium, Int. J. Heat Moss Transfer, vol. 34, pp. 785-793, 1991.
24. G. D. Raithby and E. H. Chui, A Finite Volume Method for Predicting a Radiant Heat Transfer in Enclosures with Participating Media, J. Heat Transfer, vol. 112, pp. 415-423, 1990.
25. S. V. Patankar, Numerical Heat Transfer and Fluid Flow, McGraw-Hill, New York, 1980.
26. E. H. Chui and G. D. Raithby, Computation of Radiant Heat Transfer on a Nonorthogonal Mesh Using the Finite Volume Method, Numer. Heat Transfer, Part B, vol. 23, pp. 269 -288, 1993.
27. E. H. Chui, G. D. Raithby, and P. M. J. Hughes, Prediction of Radiative Transfer in Cylindrical Enclosures with the Finite Volume Method, J. Thermophys. Heat Transfer, vol. 6, pp. 605-611, 1992.
28. J. C. Chai, H. S. Lee, and S. V. Patankar, Finite Volume Method for Radiative Heat Transfer, J. Thermophys. Heat Transfer, vol. 8, pp. 419-425, 1994.
29. J. C. Chai, G. Parthasarathy, H. S. Lee, and S. V. Patankar, Finite Volume Radiative Heat Transfer Procedure for Irregular Geometries, J. Thermophys. Heat Transfer, vol. 9, pp. 410-415, 1995.
30. J. P. Moder, J. C. Chai, G. Parthasarathy, H. S. Lee, and S. V. Patankar, Nonaxisymmet-ric Radiative Transfer in Cylindrical Enclosures, Numer. Heat Transfer, Part B, Fundamentals, vol. 30, pp. 437-452, 1996.
31. K. H. Lee, J. S. Lee, and M. Choi, Parametric Analysis of Radiative-Convective Heat Transfer Around a Circular Cylinder in a Cross Flow Using the Finite Volume Radiation Solution Method, Numer. Heat Transfer, Part A, vol. 29, pp. 181-196, 1996.
32. M. Y. Kim and S. W. Baek, Analysis of Radiative Transfer in Cylindrical Enclosures Using the Finite Volume Method, J. Thermophys. Heat Transfer, vol. 11, pp. 246-252, 1997.
33. J. Liu, H. M. Shang, and Y. S. Chen, Prediction of Radiative Transfer in General Body-Fitted Coordinates, Numer. Heat Transfer, Part B, vol. 31, pp. 423-439, 1997.
34. P. Moon and D. E. Spencer, Field Theory Handbook, Springer, Berlin, 1971.
35. J. C. Chai, H. S. Lee, and S. V. Patankar, Evaluation of Spatial Differencing Practices for the Discrete-Ordinates Method, J. Thermophys. Heat Transfer, vol. 8, pp. 140-144, 1994.
36. T. Y. Kim and S. W. Baek, Analysis of Combined Conductive and Radiative Heat Transfer in a Two-Dimensional Rectangular Enclosure Using the Discrete Ordinates Method, Int. J. Heat Mass Transfer, vol. 34, pp. 2265-2273, 1991.
37. A. Bejan, Convection Heat Transfer, John Wiley, New York, 1984.
38. M. Perlmutter and J. R. Howell, Radiant Transfer Through a Gray Gas Between Concentric Cylinders Using Monte Carlo, J. Heat Transfer, vol. 86, pp. 169-179, 1964.