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Weighted sum of gray gases model optimization for numerical investigations of processes inside pulverized coal-fired furnaces

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Abstract

The effects of the number of significant figures (NSF) in the interpolation polynomial coefficients (IPCs) of the weighted sum of gray gases model (WSGM) on results of numerical investigations and WSGM optimization were investigated. The investigation was conducted using numerical simulations of the processes inside a pulverized coal-fired furnace. The radiative properties of the gas phase were determined using the simple gray gas model (SG), two-term WSGM (W2), and three-term WSGM (W3). Ten sets of the IPCs with the same NSF were formed for every weighting coefficient in both W2 and W3. The average and maximal relative difference values of the flame temperatures, wall temperatures, and wall heat fluxes were determined. The investigation showed that the results of numerical investigations were affected by the NSF unless it exceeded certain value. The increase in the NSF did not necessarily lead to WSGM optimization. The combination of the NSF (CNSF) was the necessary requirement for WSGM optimization.

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References

  1. Filkoski, R., Petrovski, I., Karas, P., Optimisation of Pulverized Coal Combustion by means of CFD/CTA Modelling, Thermal Science, 2006, 10 (3): 161–179.

    Article  Google Scholar 

  2. Schuhbauer, C., Angerer, M., Spliethoff, H., Kluger, F., Tschaffon, H., Coupled Simulation of a Tangentially Hard Coal Fired 700 °C Boiler, Fuel, 2014, 122: 149–163.

    Article  Google Scholar 

  3. Denison, M. K., Webb, B. W., A Spectral Line-Based Weighted-Sum-of-Gray-Gases Model for Arbitrary RTE Solvers, Journal of Heat Transfer, 1993, 115 (4): 1004–1012.

    Article  Google Scholar 

  4. Kim, O. J., Song, T. H., Database of WSGGM-Based Spectral Methods for the Radiation of Combustion Products, Journal of Quantitative Spectroscopy & Radiative Transfer, 2000, 64 (4): 379–394.

    Article  ADS  Google Scholar 

  5. Hottel, H. C., Sarofim, A. F., Radiative Transfer, McGraw-Hill, New York, USA: 1967.

    Google Scholar 

  6. Liu, F., Numerical Solutions of Three-Dimensional Non-Gray Gas Radiative Transfer Using the Statistical Narrow-Band Model, Journal of Heat Transfer, 1999, 121 (1): 200–203.

    Article  MathSciNet  Google Scholar 

  7. Coelho, P. J., Numerical Simulation of Radiative Heat Transfer from Non-Gray Gases in Three-Dimensional Enclosures, Journal of Quantitative Spectroscopy & Radiative Transfer, 2002, 74 (3): 307–328.

    Article  ADS  Google Scholar 

  8. Park, W. H., Kim, T. K., Numerical Solution of Radiative Transfer within a Cubic Enclosure Filled with Nongray Gases Using the WSGGM, Journal of Mechanical Science and Technology, 2008, 22 (7): 1400–1407.

    Article  Google Scholar 

  9. Crnomarkovic, N., Belosevic, S., Tomanovic, I., Milicevic, A., Influence of the Number of Gray Gases in the Weighted Sum of Gray Gases Model on the Calculation of the Radiative Heat Exchange inside Pulverized Coal Fired Furnaces, Thermal Science, 2016, 20 (Suppl. 1): S197–S206.

    Article  Google Scholar 

  10. Crnomarkovic, N., Sijercic, M., Belosevic, S., Stankovic, B., Tucakovic, D., Zivanovic, T., Influence of Forward Scattering on Prediction of Temperature and Radiation Fields inside the Pulverized Coal Furnace, Energy, 2012, 45 (1): 160–168.

    Article  Google Scholar 

  11. Crnomarkovic, N., Sijercic, M., Belosevic, S., Tucakovic, D., Zivanovic, T., Radiative Heat Exchange Inside the Pulverized Lignite Fired Furnace for the Gray Radiative Properties with Thermal Equilibrium between Phases, International Journal of Thermal Sciences, 2014, 85: 21–28.

    Article  Google Scholar 

  12. Belosevic, S., Sijercic, M., Crnomarkovic, N., Stankovic, B., Tucakovic, D., Numerical Prediction of Pulverized Coal Flame in Utility Boiler Furnaces, Energy & Fuels, 2009, 23 (11): 5401–5412.

    Article  Google Scholar 

  13. Rhine, J. M., Tucker, R. J., Modelling of Gas-Fired Furnaces and Boilers, McGraw Hill, New York, USA: 1991.

    Google Scholar 

  14. Modest, M. F., Radiative Heat Transfer, Academic Press, New York, USA: 2013.

    Google Scholar 

  15. Yu, M. J., Baek, S. W., Park, J. H., An Extension of the Weighted Sum of Gray Gases Non-Gray Gas Radiation Model to a Two Phase Mixture of Non-Gray Gas with Particles, International Journal of Heat and Mass Transfer, 2000, 43 (10): 1699–1713.

    Article  MATH  Google Scholar 

  16. Sastry, S. S., Introductory Methods of Numerical Analysis, PHI Learning Private Limited, Delhi, India,: 2013.

    Google Scholar 

  17. Burden, R. L., Faires, J. D., Numerical Analysis, Brooks/Cole, Cengage Learning, Boston, USA: 2011.

    Google Scholar 

  18. Hildebrand, F. B., Introduction to Numerical Analysis, Dover publications, New York, USA: 1987.

    MATH  Google Scholar 

  19. Wall, T. F., Lowe, A., Wibberley, L. J., Stewart, I. McC., Mineral Matter in Coal and the Thermal Performance of Large Boilers, Progress in Energy and Combustion Science, 1979, 5 (1): 1–29.

    Article  Google Scholar 

  20. Boow, J., Goard, P. R. C., Fireside Deposits and Their Effect on Heat Transfer in a Pulverized-Fuel-Fired Boiler. Part III: The Influence of the Physical Characteristics of the Deposit on Its Radiant Emittance and Effective Thermal Conductance, Journal of the Institute of Fuel, 1969, 42 (346): 412–419.

    Google Scholar 

  21. Singer, H. C, Combustion, Fossil Power, Combustion Engineering, Connecticut, USA: 1991.

    Google Scholar 

  22. Kaye, G. W., Laby, T. H., Tables of Physical and Chemical Constants, Longman, London, UK: 1995.

    MATH  Google Scholar 

  23. Mechi, R., Farhat, H., Guedri, K., Halouani, K., Said, R., Extension of the Zonal Method to Inhomogeneous Non- Gray Semi-Transparent Medium, Energy, 2010, 35 (1): 1–15.

    Article  Google Scholar 

  24. Taylor, P. B., Foster, P.J., The Total Emissivities of Luminous and Non-Luminous Flames, International Journal of Heat and Mass Transfer, 1974, 17 (12): 1591–1695.

    Article  Google Scholar 

  25. Dorigon, L. J., Duciak, G., Brittes, R., Cassol, F., Galarca, M., Franca, F. H. R., WSGG Correlations Based on HITEMP2010 for Computation of Thermal Radiation in Non-Isothermal, Non-Homogeneous H2O/CO2 Mixtures, International Journal of Heat and Mass Transfer, 2013, 64: 863–873.

    Article  Google Scholar 

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Acknowledgments

This work is a result of the project “Increase in energy and ecology efficiency of processes in pulverized coalfired furnace and optimization of utility steam boiler air preheater by using in-house developed software tools”, supported by the Ministry of Education, Science and Technological Development of the Republic of Serbia (project No. TR-33018).

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Authors and Affiliations

  1. University of Belgrade, Vinca Institute of Nuclear Sciences, P. O. Box 522, 11001, Belgrade, Serbia

    Nenad Crnomarkovic, Srdjan Belosevic, Ivan Tomanovic & Aleksandar Milicevic

Authors
  1. Nenad Crnomarkovic
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  2. Srdjan Belosevic
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  3. Ivan Tomanovic
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  4. Aleksandar Milicevic
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Correspondence to Nenad Crnomarkovic.

Additional information

This research is supported by the Ministry of Education, Science and Technological Development of the Republic of Serbia (project No. TR-33018).

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Crnomarkovic, N., Belosevic, S., Tomanovic, I. et al. Weighted sum of gray gases model optimization for numerical investigations of processes inside pulverized coal-fired furnaces. J. Therm. Sci. 26, 552–559 (2017). https://doi.org/10.1007/s11630-017-0973-0

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  • DOI: https://doi.org/10.1007/s11630-017-0973-0

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