## THERMAL SCIENCE

International Scientific Journal

### Thermal Science - Online First

online first only
### Assessment of radiative heat transfer impact on a temperature distribution inside a real industrial swirled furnace

**ABSTRACT**

Combustion systems will continue to share a portion in energy sectors along the current energy transition, and therefore the attention is still given to the further improvements of their energy efficiency. Modern research and development processes of combustion systems are improbable without the usage of predictive numerical tools such as Computational Fluid Dynamics (CFD). The radiative heat transfer in participating media is modelled in this work with Discrete Transfer Radiative Method (DTRM) and Discrete Ordinates Method (DOM) by finite volume discretisation, in order to predict heat transfer inside combustion chamber accurately. DTRM trace the rays in different directions from each face of the generated mesh. At the same time, DOM is described with the angle discretisation, where for each spatial angle the radiative transport equation needs to be solved. In combination with the steady combustion model in AVL FIRE™ CFD code, both models are applied for computation of temperature distribution in a real oil-fired industrial furnace for which the experimental results are available. For calculation of the absorption coefficient in both models weighted sum of grey gasses model is used. The focus of this work is to estimate radiative heat transfer with DTRM and DOM models and to validate obtained results against experimental data and calculations without radiative heat transfer, where approximately 25 % higher temperatures are achieved. The validation results showed good agreement with the experimental data with a better prediction of the DOM model in the temperature trend near the furnace outlet. Both radiation modelling approaches show capability for the computation of radiative heat transfer in participating media on a complex validation case of the combustion process in oil-fired furnace.

**KEYWORDS**

PAPER SUBMITTED: 2020-04-07

PAPER REVISED: 2020-06-10

PAPER ACCEPTED: 2020-06-10

PUBLISHED ONLINE: 2020-09-26

- Ren, T., Modest, M. F., Fateev, A., Sutton, G., Zhao, W., Rusu, F. Machine learning applied to retrieval of temperature and concentration distributions from infrared emission measurements, (2019) Applied Energy, 252, pp. 113448.
- Modest, M. F., Haworth, D. C. Radiative heat transfer in high-pressure combustion systems, (2016) In SpringerBriefs in Applied Sciences and Technology (pp. 137-148). Springer Verlag.
- Vujanović, M., Wang, Q., Mohsen, M., Duić, N., Yan, J. Sustainable energy technologies and environmental impacts of energy systems, (2019) Applied Energy, 256, pp. 113919.
- Maginot, P. G., Ragusa, J. C., Morel, J. E. High-order solution methods for grey discrete ordinates thermal radiative transfer, (2016) Journal of Computational Physics, 327, pp. 719-746.
- Mishra, S. C., Chugh, P., Kumar, P., Mitra, K. Development and comparison of the DTM, the DOM and the FVM formulations for the short-pulse laser transport through a participating medium, (2006) International Journal of Heat and Mass Transfer, 49, pp. 1820-1832.
- Coelho, P. J. Advances in the discrete ordinates and finite volume methods for the solution of radiative heat transfer problems in participating media, (2014) Journal of Quantitative Spectroscopy and Radiative Transfer. Elsevier Ltd.
- Honus, S., Juchelková, D. Mathematical models of combustion, convection and heat transfer in experimental thermic device and verification, (2014) Tehnicki Vjesnik, 21, pp. 115-122.
- Coelho, P. J., Carvalho, M. G. A Conservative Formulation of the Discrete Transfer Method, (1997) Journal of Heat Transfer, 119, pp. 118-128.
- Chai, J. C., Lee, H. S., Patankar, S. V. Finite Volume Method for Radiation Heat Transfer, (1994) Journal of Thermophysics and Heat Transfer, 8, pp. 419-425.
- Coelho, P. J. Advances in the discrete ordinates and finite volume methods for the solution of radiative heat transfer problems in participating media, (2014) Journal of Quantitative Spectroscopy and Radiative Transfer, 145, pp. 121-146.
- Mishra, S. C., Roy, H. K. Solving transient conduction and radiation heat transfer problems using the lattice Boltzmann method and the finite volume method, (2007), Journal of Computational Physics, pp. 89-107.
- Coelho, P. J. Radiative Transfer in Combustion Systems, (2018) In Handbook of Thermal Science and Engineering, Springer International Publishing, pp. 1173-1199.
- Modest, M. F. Radiative Heat Transfer, Elsevier, Amsterdam, The Netherlands, 2013.
- Tulwin, T. A Coupled Numerical Heat Transfer in the Transient Multicycle CFD Aircraft Engine Model, (2016) Procedia Engineering, 157, pp. 255-263.
- Silva, J., Teixeira, J., Teixeira, S., Preziati, S., Cassiano, J. CFD Modeling of Combustion in Biomass Furnace, (2017) Energy Procedia, 120, pp. 665-672.
- Wang, J., Liu, Y., Sundén, B., Yang, R., Baleta, J., Vujanović, M. Analysis of slab heating characteristics in a reheating furnace, (2017) Energy Conversion and Management, 149, pp. 928-936.
- Mikulčić, H., Baleta, J., Klemeš, J. J. Sustainability through combined development of energy, water and environment systems, (2020) Journal of Cleaner Production. Elsevier Ltd.
- Johnson, T. R., Beer, J. M. Radiative heat transfer in furnaces: Further development of the zone method of analysis, (1973) Symposium (International) on Combustion, 14, pp. 639-649.
- Vujanović, M., Baburić, M., Schneider, D., Duić, N., Priesching, P., Tatschl, R. User function approach in modelling of nitrogen oxides in commercial CFD code FIRE, (2005) Proceedings of the ECCOMAS Thematic Conference on Computational Combustion.
- AVL AST GmbH FIRE Documentation v2019, AVL AST GmbH, Graz, Austria, 2019.
- Jurić, F., Petranović, Z., Vujanović, M., Katrašnik, T., Vihar, R., Wang, X., Duić, N. Experimental and numerical investigation of injection timing and rail pressure impact on combustion characteristics of a diesel engine, (2019) Energy Conversion and Management, 185, pp. 730-739.
- Józsa, V., Kun-Balog, A. Stability and emission analysis of crude rapeseed oil combustion, (2017) Fuel Processing Technology, 156, pp. 204-210.
- Baburić, M., Duić, N., Raulot, A., Coelho, P. J. Application of the Conservative Discrete Transfer Radiation Method to a Furnace with Complex Geometry, (2005) Numerical Heat Transfer, Part A: Applications, 48, pp. 297-313.
- Qi, F., Wang, Z., Li, B., He, Z., Baleta, J., Vujanovic, M. Numerical study on characteristics of combustion and pollutant formation in a reheating furnace, (2018) Thermal Science, 22, pp. 2103-2112.
- Filkoski, R., Petrovski, I., Karas, P. Optimization of pulverised coal combustion by means of CFD/CTA modeling, (2006) Thermal Science, 10, pp. 161-179.
- Honus, S., Pospíšilík, V., Jursová, S., Šmída, Z., Molnár, V., Dovica, M. Verifying the Prediction Result Reliability Using k-ε, Eddy Dissipation, and Discrete Transfer Models Applied on Methane Combustion Using a Prototype Low-Pressure Burner, (2017) Advances in Science and Technology Research Journal, 11, pp. 252-259.
- Csemány, D., Józsa, V. Fuel Evaporation in an Atmospheric Premixed Burner: Sensitivity Analysis and Spray Vaporization, (2017) Processes, 5, pp. 80.
- Abraham, J., Magi, V. Application of the Discrete Ordinates Method to Compute Radiant Heat Loss in a Diesel Engine, (1997) Numerical Heat Transfer, Part A: Applications, 31, pp. 597-610.
- Hosseini Sarvari, S. M. Solution of multi-dimensional radiative heat transfer in graded index media using the discrete transfer method, (2017) International Journal of Heat and Mass Transfer, 112, pp. 1098-1112.
- Dorigon, L. J., Duciak, G., Brittes, R., Cassol, F., Galarça, M., França, F. H. R. WSGG correlations based on HITEMP2010 for computation of thermal radiation in non-isothermal, non-homogeneous H2O/CO2 mixtures, (2013) International Journal of Heat and Mass Transfer, 64, pp. 863-873.