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Numerical simulation of a metallic load in continuous movement during heating in an experimental vertical-type furnace

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Abstract

The present work shows the results of a numerical simulation, in the transient 3D state, of heating a block of stainless steel AISI 304 in continuous movement in the interior of an experimental vertical furnace. The model considers the heat transfer by radiation between the furnace walls and the surface of the block using the model P-1, implemented in CFD Fluent® commercial software. The thermal boundary conditions were experimentally determined by sectioning and recording the furnace wall temperatures at different heights. In turn, the conditions were implemented through a user-defined function. The displacement of the block was modeled using two methods: the field assignment method and the layering dynamic mesh method. The simulated thermal histories obtained with both methods were compared with the experimental thermal history of the block during continuous movement in the interior of the furnace. The results show that the layering dynamic mesh method predicts the thermal history of the block heating during continuous movement more accurately than the field assignment method, providing a viable alternative for the simulation of continuous processes at high temperatures, such as the process of reheating a steel billet.

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References

  1. Han SH, Chang D (2012) Optimum residence time analysis for a walking beam type reheating furnace. Int J Heat Mass Transf 55(15–16):4079–4087

    Article  Google Scholar 

  2. Martensson A (1992) Energy efficiency improvement by measurement and control: a case study of reheating furnaces in the steel industry. In: Proceedings of 14th National Industrial Energy Technology Conference, Energy Systems Laboratory, Houston, pp 236-243

  3. Ghose S, Bose A, Mohanty S, Mishra S, Das S (1978) Refractories for reheating and heat treatment furnaces. In: Proceedings of a Seminar Organised by The Indian Ceramic Society, Jamshedpur Section with the co–operation of National Metallurgical Laboratory, Jamshedpur, pp 130–141

  4. Morgado T, Coelho PJ, Talukdar P (2015) Assessment of uniform temperature assumption in zoning on the numerical simulation of a walking beam reheating furnace. Appl Therm Eng 76:496–508

    Article  Google Scholar 

  5. Kim MY (2007) A heat transfer model for the analysis of transient heating of the slab in a direct-fired walking beam type reheating furnace. Int J Heat Mass Transf 50(19–20):3740–3748

    Article  MATH  Google Scholar 

  6. Jang JH, Lee DE, Kim C, Kim MY (2008) Prediction of furnace heat transfer and its influence on the steel slab heating and skid mark formation in a reheating furnace. ISIJ Int 48(10):1325–1330

    Article  Google Scholar 

  7. Jang JH, Lee DE, Kim MY, Kim HG (2010) Investigation of the slab heating characteristics in a reheating furnace with the formation and growth of scale on the slab surface. Int J Heat Mass Transf 53(19–20):4326–4332

    Article  MATH  Google Scholar 

  8. Han SH, Baek SW, Kim MY (2009) Transient radiative heating characteristics of slabs in a walking beam type reheating furnace. Int J Heat Mass Transf 52(3–4):1005–1011

    Article  MATH  Google Scholar 

  9. Harish J, Dutta P (2005) Heat transfer analysis of pusher type reheat furnace. Ironmak Steelmak 32(2):151–158

    Article  Google Scholar 

  10. Hsieh C-T, Huang M-J, Lee S-T, Wang C-H (2008) Numerical modeling of a walking-beam-type slab reheating furnace. Numer Heat Transf Part A Appl 53(9):966–981

    Article  Google Scholar 

  11. Jaklič A, Kolenko T, Zupančič B (2005) The influence of the space between the billets on the productivity of a continuous walking-beam furnace. Appl Therm Eng 25(5–6):783–795

    Article  Google Scholar 

  12. Singh VK, Talukdar P (2013) Comparisons of different heat transfer models of a walking beam type reheat furnace. Int Commun Heat Mass Transf 47:20–26

    Article  Google Scholar 

  13. Wang J, Liu Y, Sundén B, Yang R, Baleta J, Vujanović M (2017) Analysis of slab heating characteristics in a reheating furnace. Energy Convers Manag 149:928–936

    Article  Google Scholar 

  14. Han SH, Chang D, Huh C (2011) Efficiency analysis of radiative slab heating in a walking-beam-type reheating furnace. Energy 36(2):1265–1272

    Article  Google Scholar 

  15. Han SH, Chang D (2012) Radiative slab heating analysis for various fuel gas compositions in an axial-fired reheating furnace. Int J Heat Mass Transf 55(15–16):4029–4036

    Article  Google Scholar 

  16. FLUENT, INC. (2006) FLUENT 6.3 UDF manual. FLUENT Inc, Lebanon

    Google Scholar 

  17. Cignoni P, Ganovelli F, Gobbetti E, Marton F, Ponchio F, Scopigno R (2003) Planet-sized batched dynamic adaptive meshes (p-bdam). In: Turk G, Van Wijk JJ, Moorhead R (eds) Proceedings of the 14th IEEE Visualization, 2003. VIS 2003, IEEE, Seattle, pp 147–154

  18. ANSYS, INC. (2006) ANSYS FLUENT 12.0 Theory guide. ANSYS Inc., Canonsburg

    Google Scholar 

  19. Habibi A, Merci B, Heynderickx GJ (2007) Impact of radiation models in cfd simulations of steam cracking furnaces. Comput Chem Eng 31(11):1389–1406

    Article  Google Scholar 

  20. Patankar S (1980) Numerical heat transfer and fluid flow. CRC Press, Boca Raton

    MATH  Google Scholar 

  21. Modest MF (2013) Radiative heat transfer. Academic Press, Cambridge

    Book  Google Scholar 

  22. Jeans J (1917) Stars, gaseous, radiative transfer of energy. Mon Not R Astron Soc 78:28–36

    Article  Google Scholar 

  23. Cintolesi C, Nilsson H, Petronio A, Armenio V (2017) Numerical simulation of conjugate heat transfer and surface radiative heat transfer using the p1 thermal radiation model: parametric study in benchmark cases. Int J Heat Mass Transf 107:956–971

    Article  Google Scholar 

  24. Marshak R (1947) Note on the spherical harmonic method as applied to the milne problem for a sphere. Phys Rev 71(7):443

    Article  MathSciNet  MATH  Google Scholar 

  25. Crnjac P, Škerget L, Ravnik J, Hriberšek M (2017) Implementation of the rosseland and the p1 radiation models in the system of Navier–Stokes equations with the boundary element method. Int J Comput Methods Exp Meas 5(3):348–358

    Google Scholar 

  26. Snyder D, Koutsavdis E, Anttonen J (2003) Transonic store separation using unstructured CFD with dynamic meshing. In: 33rd AIAA fluid dynamics conference and exhibit, p 3919

  27. Blanco AM, Oro JF (2012) Unsteady numerical simulation of an air-operated piston pump for lubricating greases using dynamic meshes. Comput Fluids 57:138–150

    Article  MATH  Google Scholar 

  28. Jiménez EM (2003) Caracterización de la extracción de calor en un placa de acero inoxidable 304

  29. Ho CY, Chu T (1977) Electrical resistivity and thermal conductivity of nine selected AISI stainless steels. tech. rep., Thermophysical and Electronic Properties Information Analysis Center, Lafayette, IN

  30. Touloukian YS, DeWitt DP (1970) Thermal radiative properties-metallic elements and alloys, vol. 7, Springer, LCC, New York 

  31. Cess R (1964) The interaction of thermal radiation with conduction and convection heat transfer. In: Irvine TF, Hartnett JP (eds) Advances in heat transfer, vol 1. Academic Press, New York, pp 1–50

    Google Scholar 

  32. Holman JP, de Morentín PdAM, Mena TdJL, Grande IP, del Notario Martínez de Marañòn PP, Sànchez AS (1980) Transferencia de calor

  33. Cengel Y (2014) Heat and mass transfer: fundamentals and applications. McGraw-Hill Higher Education, New York

    Google Scholar 

Download references

Acknowledgements

The authors gratefully acknowledge the CONACYT for the financial support to Sixtos A. Arreola-Villa to conduct his graduate studies. We also thank UMSNH, ITM, and SNI for their permanent support to the academic research network on Fluid Dynamics.

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Authors and Affiliations

  1. Facultad de Ingeniería Mecánica, Universidad Michoacana de San Nicolás de Hidalgo, Av. Francisco J. Múgica S/N, 58030, Morelia, Michoacán, Mexico

    Sixtos Antonio Arreola-Villa & Gildardo Solorio-Díaz

  2. División de Estudios de Posgrado e Investigación, Instituto Tecnológico de Morelia, Av. Tecnológico 1500, 58120, Morelia, Michoacán, Mexico

    Héctor Javier Vergara-Hernández & Octavio Vázquez-Goméz

  3. Consejo Nacional de Ciencia y Tecnología, Av. Insurgentes 1582, 03940, Ciudad de México, Mexico

    Octavio Vázquez-Goméz

Authors
  1. Sixtos Antonio Arreola-Villa
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  2. Gildardo Solorio-Díaz
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  3. Héctor Javier Vergara-Hernández
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  4. Octavio Vázquez-Goméz
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Correspondence to Octavio Vázquez-Goméz.

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Technical Editor: Fernando Antonio Forcellini.

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Arreola-Villa, S., Solorio-Díaz, G., Vergara-Hernández, H. et al. Numerical simulation of a metallic load in continuous movement during heating in an experimental vertical-type furnace. J Braz. Soc. Mech. Sci. Eng. 40, 280 (2018). https://doi.org/10.1007/s40430-018-1189-2

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  • DOI: https://doi.org/10.1007/s40430-018-1189-2

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