Analysis of Radiative Heat Transfer in Complex Two-Dimensional Enclosures With Obstacles Using the Modified Discrete Ordinates Method

Journal of Heat Transfer - Tập 123 Số 5 - Trang 892-900 - 2001
M. Sakami1, Abderrahmane Kasmi1, André B. Charette1
1Groupe de Recherche en Inge´nierie des Proce´de´s et Syste`mes, Universite´ du Que´bec a` Chicoutimi, 555, boulevard de l’universite´, Chicoutimi, Que´bec, Canada, G7H 2B1

Tóm tắt

In this work, an extension of a modified discrete ordinates method recently proposed by other researchers is presented. It is intended to counter the ray effect inherent in this method. The media analyzed are absorbing, emitting and isotropically or anisotropically scattering and the enclosure geometry is arbitrary. Cases with obstructions are emphasized. The radiative intensity is broken into two parts: the wall-related intensity and the medium-related intensity. The former is treated separately by rigorous integration over the entire solid boundary. A new differencing scheme based on quadrangular grids is also proposed and used for the treatment of the medium-related intensity. Results confirm that the proposed method is a good general remedy for anomalies caused by the ray effect due to the geometry.

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Tài liệu tham khảo

Fiveland, W. A. , 1988, “Three-Dimensional Radiative Heat Transfer Solution by the Discrete-Ordinates Method,” J. Thermophys. Heat Transfer, 2, No. 4, pp. 309–316.

Truelove, J. , 1988, “Three-Dimensional Radiation in Absorbing-Emitting-Scattering Media Using the Discrete-Ordinates Approximation,” J. Quant. Spectrosc. Radiat. Transf., 39, No. 1, pp. 27–31.

Thurgood, C. P.,1992, “A Critical Evaluation of the Discrete Ordinates Method Using HEART and Tn Quadrature,” Ph.D. thesis, Queen’s University, Kingston, Canada.

Cheong, K. B., and Song, T. H., 1997, “An Alternative Discrete Ordinates Method With Interpolation and Source Differencing for Two-Dimensional Radiative Transfer Problems,” Numer. Heat Transfer, Part B, 32, pp. 107–125.

Raithby, G. D., and Chui, E. H., 1990, “A Finite Volume Method for Predicting a Radiative Heat Transfer in Enclosures With Participating Media,” ASME J. Heat Transfer, 112, pp. 415–423.

Chui, E. H., Raithby, G. D., and Hughes, P. M. J., 1992, “Prediction of Radiative Transfer in Cylindrical Enclosures With the Finite Volume Method,” J. Thermophys. Heat Transfer, 6, pp. 605–611.

Chai, J. C., Parthasarathy, G., Lee, H. S., and Patankar, S., 1995, “Finite Volume Radiative Heat Transfer Procedure for Irregular Geometries,” J. Thermophys. Heat Transfer, 9, pp. 410–415.

Liu, J., Shang, M., and Chen, Y. S., 1997, “Prediction of Radiative Transfer in General Body-Fitted Coordinates,” Numer. Heat Transfer, Part B, 31, pp. 423–439.

Sanchez, A., and Smith, T. F., 1992, “Surface Radiation Exchange for Two-Dimensional Rectangular Enclosures Using the Discrete-Ordinates Method,” ASME J. Heat Transfer, 114, 465–472.

Adams, B., and Smith, P. J., 1993, “Three-Dimensional Discrete-Ordinates Modeling of Radiative Transfer in a Geometrically Complex Furnace,” Combust. Sci. Technol., 88, pp. 293–308.

Coelho, P. J., Goncalves, J. M., Carvalho, M. J., and Trivic, D. N., 1998, “Modeling of Radiative Heat Transfer in Enclosures With Obstacles,” Int. J. Heat Mass Transf., 4/5, pp. 745–756.

Chai, J. C., Lee, H. S., and Patankar, S., 1993, “Ray Effect and False Scattering in the Discrete Ordinates Method,” Numer. Heat Transfer, Part B, 24, pp. 373–389.

Pasini, S., and Castellano, L., 1994, “Numerical Experiments on the Application of the Diamond Scheme to Sets of Discrete Directions Obtained From a Random Numbers Generator, Radiative Heat Transfer: Current Research, ASME HTD-Vol. 276, pp. 99–104.

Ramankutty, M. A., and Crosbie, A. L., 1997, “Modified Discrete Ordinates Method of Radiative Transfer in Two-Dimensional Rectangular,” J. Quant. Spectrosc. Radiat. Transf., 59, No. 1, pp. 107–140.

Ramankutty, M. A., Crosbie, A. L., and Crosbie, A. L., 1998, “Modified Discrete Ordinates Solution of Radiative Transfer in Three-Dimensional Rectangular Enclosures,” J. Quant. Spectrosc. Radiat. Transf., 60, No. 1, pp. 103–134.

Olfe, D. B. , 1970, “Radiative Equilibrium of a Gray Medium Bounded by Nonisothermal Walls,” Prog. Astronaut. Aeronaut., 23, pp. 295–317.

Modest, M. M. , 1989, “The Modified Differential Approximation for Radiative Transfer in General Three Dimensional Media,” J. Thermophys. Heat Transfer, 3, No. 3, pp. 283–288.

Sakami, M., and Charette, A., 2000, “Application of a Modified Discrete Ordinates Method to Two-Dimensional Enclosures of Irregular Geometry,” J. Quant. Spectrosc. Radiat. Transf., 64, No. 3, pp. 275–298.

Wu, C., and Liou, B., 1997, “Discrete Ordinates Solutions for Radiative Transfer in a Cylindrical Enclosure with Fresnel Boundaries,” Int. J. Heat Mass Transf., 40, No. 10, pp. 2467–2475.

Sakami, M., and Charette, A., 1998, “A New Differencing Scheme for the Discrete Ordinates Method in Complex Geometry,” Rev. Gen. Therm., 37, pp. 440–449.

Sakami, M., Charette, A., and Le Dez, V., 1998, “Radiative Heat Transfer in Three-Dimensional Enclosures of Complex Geometry Using the Discrete Ordinates Method,” J. Quant. Spectrosc. Radiat. Transf., 59, No. 1/2, pp. 117–136.

Koch, R., Krebs, W., Wittig, S., and Viskanta, R., 1995, “Discrete Ordinates Quadratures Schemes for Multidimensional Radiative Transfer,” J. Quant. Spectrosc. Radiat. Transf., 53, No. 4, pp. 353–372.

Fiveland, W. A., 1991, “The Selection of Discrete Ordinates Quadrature Sets for Anisotropic Scattering,” Fundamentals of Radiation Heat Transfer, ASME HTD-Vol. 160, pp. 89–96.

Kim, T. K., and Lee, H. S., 1998, “Effect of Anisotropic Scattering on Radiative Heat Transfer in Two-Dimensional Rectangular Enclosures,” Int. J. Heat Mass Transf., 31, No. 8, pp. 1711–1721.

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Journal of Heat Transfer

Tập 123 Số 5

892-900

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