An improved approach to the simulation of the radiative heat exchange in a furnace is proposed. This approach is realized with the use of the computer program REFORM based on the well-known Monte Carlo ray tracing algorithms. The method proposed allows one to determine the factors of radiative heat exchange in furnaces for which the method of direct numerical integration is difficult to use due to their geometries. The indicated REFORM program was validated and the results obtained with it were compared with corresponding existing solutions. It has been established that the approach proposed makes it possible to more accurately represent the radiative heat exchange between a steel load and its surroundings.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
V. I. Timoshpol'skii, M. L. German, P. S. Grinchuk, and A. N. Oznobishin, Numerical solution of the radiative-transfer equation for an absorbing, emitting, and scattering medium with a complex 3-D geometry, J. Eng. Phys. Thermophys., 78, No. 1, 144–154 (2005).
P. O. Norberg, Challenges in the control of the reheating and annealing process, Scand. J. Metall., 26, No. 5, 206–214 (1997).
C. P. Malhotra, Comparison of control strategies for reheating furnaces, Proc. Conf. "Materials Science & Technology," Chicago, IL, USA (2003), Pp 137–148.
J. Anton, V. Franci, and K. Tomaž, Online simulation model of the slab-reheating process in a pusher-type furnace, Appl. Therm. Eng, 27, No. 5–6, 1105–1114 (2007).
W. Yan, and F. Zhang, Mathematical model study on billet heating furnace, Ind. Furn., 22, No. 2, 54–58 (2000).
E. E. Madsen, STEELTEMP — a program for temperature analysis in steel plants, J. Mater. Proc. Technol., 42, No. 2, 187–195 (1994).
J. Anton, K. Tomaž, and Z. Borut, The influence of the space between the billets on the productivity of a continuous walking-beam furnace, Appl. Therm. Eng., 25, Nos. 5–6, 783–795 (2005).
M. Bhardwaj, Calibration of reheating furnace model parameters at hot strip mill, Tata Search, 57–60 (2000).
D. Staalman, The Funnel model for accurate slab temperature in reheating furnaces, Rev. Métall., 101, No. 6, 453–459 (2004).
T. D. Eastop and A. McConkey, Applied Thermodynamics for Engineering Technologist. 5th ed, Longman, Singapore (1993).
H. C. Hottel and A. F. Sarofim, Radiative Transfer, McGraw-Hill, New York, USA (1967).
R. J. Tucker and J. Ward, Mathematical modeling of heat-transfer in a gas-fi red reheating furnace operating under nonsteady-state conditions, Proc. 9th Int. Conf. on Heat Transfer, Jerusalem, Israel (1990), Nos. 1–7, pp. 221–226.
S. Lucas, RadCAD: Validation of a new thermal radiation analyzer, SAE Tech. Paper, (1997).
N. Fricker, J. Ward, J. Wilcox, et al., Multimode modeling approach for NOx reduction on gas fi red glass melters through flame/furnace matching, Proc. 16th IFRF Members’ Conf., Boston, USA (2009), Pp. 8–10.
S. A. C. Correia and J. Ward, The application of a two-dimensional zone model to the design and control of a continuously operated, gas-fi red furnace, Proc. ASME Int. Mech. Eng. Congr. Expos., New Orleans, LA, United States (2002), pp. 29–35.
D. A. Latham, K. B. McAuley, B. A. Peppley, and T. M. Raybold, Mathematical modeling of an industrial steam-methane reformer for on-line deployment, Fuel Process. Technol., 1574–1586 (2011).
D. A. Lawson and C. D. Ziesler, An accurate program for radiation modeling in the design of high-temperature furnaces, J. Manag. Math., 7, No. 2, 109–116 (1996).
J. Jenkins, C. K. Tan, J. Ward, and J. Broughton, Development of a three-dimensional mathematical model for real-time simulation of continuous reheating furnace operations, Proc. AISTech Iron and Steel Technology Conf. Expos., Indiana Convention Center, Indianapolis, USA (2011).
J. Jenkins, C. K. Tan, J. Ward, and J. Broughton, An improved mathematical model to predict the real time transient performance of a large steel reheating furnace, Proc. ASME Int. Mech. Eng. Congr. Expos., Denver, Colorado, USA (2011), Paper IMECE2011-636912011.
J. M. Rhine and R. J. Tucker, Modelling of Gas-Fired Furnaces and Boilers, McGraw-Hill, New York (1991).
J. Noble, The zone method: explicit matrix relations for total exchange areas, Int. J. Heat Mass Transfer, 18, No. 2, 261–269 (1975).
F. P. Incropera and D. P. De Witt, Introduction to Heat Transfer, John Wiley & Sons, Singapore (1990).
J. R. Howell, The Monte Carlo method in radiative heat transfer, J. Heat Transf., 547–560 (1997).
J. Walker, S.-C. Xue, and G. W. Barton, Numerical determination of radiative view factors using ray tracing, J. Heat Transf., 132, 1–6 (2010).
C. N. Zeeb and P. J. Burns, Performance Enhancements of Monte Carlo Particle Tracing Algorithms for Large, Arbitrary Geometries, Proc. 1999 ASME Nation. Heat Transfer Conf., Albuquerque, NM, USA (1999), 15–17.
D. A. Lawson, An improved method for smoothing approximate exchange areas, Int. J. Heat Mass Transf., 38, No. 16, 3109–3110 (1995).
S. Ding, M. A. Mannan, and A. N. Poo, Oriented bounding box and octree based global interference detection in 5-axis machining of free-form surfaces, Comp-Aided Des., 36, 1281–1294 (2004).
J. Amanatides, and A. Woo, A fast voxel traversal algorithm for ray tracing, Proc. Eurographics, 3–10 (1987).
Author information
Authors and Affiliations
Corresponding author
Additional information
Published in Inzhenerno-Fizicheskii Zhurnal, Vol. 87, No. 3, pp. 711–720, May–June, 2014.
Rights and permissions
About this article
Cite this article
Matthew, A.D., Tan, C.K., Roach, P.A. et al. Calculation of the Radiative Heat-Exchange Areas in a Large-Scale Furnace with the Use of the Monte Carlo Method. J Eng Phys Thermophy 87, 732–742 (2014). https://doi.org/10.1007/s10891-014-1067-4
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10891-014-1067-4