بررسی اثر ضخامت تختال بر روی انجماد فولاد کم کربن در ریخته گری پیوسته: یک مطالعه موردی شبیه سازی

[1] J. Hejazi, Ingot Casting, Irainan Foundarymen Soci-

ety, 1982, (in Persian).

[2] B. Petrus, D. Hammon, M. Miller, B. Williams, A.

Zewe, Z. Chen, J. Bentsman, B. Thomas, Newmethod to

measure metallurgical length and application to improve

computational models, Iron and Steel Technology Con-

ference and 7th International Conference on the Science

and Technology of Ironmaking, Cleavlad , USA, 2015.

[3] X. Huang, B. Thomas, Modeling of steel grade tran-

sition in continuous slab casting processes, Metallur-

gical Transactions B. 24 (1993) 393-379. https://doi.

org/10.1007/BF02659140.

[4] C. Santos, J. Spim, A. Garcia, Mathematical model-

ing and optimization strategies (genetic algorithm and

knowledge base) applied to the continuous casting of

steel, Engineering Applications of Artificial Intelligence.

16 (2003) 511-527. https://doi.org/10.1016/S0952-

1976(03)00072-1.

[5] M. Long, D. Chen, J. Zhang, Q. Ouyang, Novel on-

line temperature control system with closed feedback

loop for steel continuous casting, Ironmaking & Steel-

making. 38 (2011) 620-629. https://doi.org/10.1179/174

3281211Y.0000000042.

[6] L. Klimeš, J. Štětina, A rapid GPU-based heat trans-

fer and solidification model for dynamic computer sim-

ulations of continuous steel casting, Journal of Materi-

als Processing Technology. 226 (2015) 1-14. https://doi.

org/10.1016/j.jmatprotec.2015.06.016.

[7] S. Louhenkilpi, M. Mäkinen, S. Vapalahti, T. Räisänen,

1. Laine, 3D steady state and transient simulation tools

for heat transfer and solidification in continuous casting,

Materials Science and Engineering: A. 413(2005) 135-

138. https://doi.org/10.1016/j.msea.2005.08.153.

[8] K. Zheng, B. Petrus, B. G. Thomas, J. Bentsman,

Design and implementation of a real-time spray cooling

control system for continuous casting of thin steel slabs,

Proceeding AISTech Steelmaking Conference, Indianap-

olis, 2007.

[9] J. Yang, Z. Xie, Z. Ji, H. Meng, Real-time heat trans-

fer model based on variable non-uniform grid for dynam-

ic control of continuous casting billets, ISIJ international.

54 (2014) 328-335. https://doi.org/10.2355/isijinterna-

tional.54.328.

[10] B. Petrus, K. Zheng, X. Zhou, B. Thomas, J. Bents-

man, Real-time, model-based spray-cooling control

system for steel continuous casting, Metallurgical and

materials transactions B. 42 (2011) 87-103. https://doi.

org/10.1007/s11663-010-9452-7.

[11] T. Männikkö, E. Laitinen, P. Neittaanmäki, Re-

al-time simulation and control system for the continuous

casting process, in: H.-H. Sebastian, K.Tammer (eds),

System Modelling and Optimization, Springer-verlag

Berlin Heidelberg GmbH, 1990, pp.809-817.

[12] E. Laitinen, P. Neittaanmäki, T. Männikkö, On the Real-time Simulation and Control of the Continuous

Casting Process, In: J. Manley, S. McKee, D. Owens

(eds), Proceedings of the Third European Conference on

Mathematics in Industry, Springer-verlag Berlin Heidel-

berg GmbH, 1990, pp.401–408.

[13] L. Guo, Y. Tian, M. Yao, H. Shen, Temperature dis-

tribution and dynamic control of secondary cooling in

slab continuous casting, International Journal of Miner-

als, Metallurgy and Materials. 16 (2009) 626-631. https://

doi.org/10.1016/S1674-4799(10)60003-9.

[14] M. Jauhola, E. Kivela, J. Konttinen, E. Laitinen, S.

Louhenkilpi, Dynamic secondary cooling model for a

continuous casting machine, Proceeding 6th Internation-

al Rolling Conference, Dusseldorf, Germany, 1994.

[15] Y. Zhai, Y. Li, B. Ma, C. Yan, Z. Jiang, The optimi-

sation of the secondary cooling water distribution with

improved genetic algorithm in continuous casting of

steels. 19 (2015) 26-31. https://doi.org/10.1179/143289

1715Z.0000000001362.

[16] K. Worapradya, P. Thanakijkasem. Optimum spray

cooling in continuous slab casting process under produc-

tivity improvement, IEEE International Conference on

Industrial Engineering and Engineering Management,

Hong Kong, 2009.

[17] D. Słota, Identification of the cooling condition in

2-D and 3-D continuous casting processes, Numerical

Heat Transfer Part B: Fundamentals. 2 (2009) 155-176.

https://doi.org/10.1080/10407790802605232.

[18] B. Filipic, E. Laitinen, Model-based tuning of pro-

cess parameters for steady-state steel casting, Informati-

ca an international journal of computing and informatics.

29 (2005) 2005 491-496.

[19] K. Cho, B. Kim, Numerical analysis of secondary

cooling in continuous slab casting, Journal of Materials

Science and Technology. 24(2008) 389-390. https://doi.

org/10.1016/S0924-0136(01)00654-9.

[20] F. Camisani-Calzolari, I. Craig, P. Pistorius, Specifica-

tion framework for control of the secondary cooling zone

in continuous casting, ISIJ international. 38 (1999) 7131-

7136. https://doi.org/10.2355/isijinternational.38.447.

[21] J. Zhang, D. Chen, C. Zhang, S. Wang, W. Hwang,

Dynamic spray cooling control model based on the track-

ing of velocity and superheat for the continuous casting

steel, Journal of Materials Processing Technology. 229

(2016) 651-658. https://doi.org/10.1016/j.jmatpro-

tec.2015.10.015.

[22] N. Cheung, A. Garcia, The use of a heuristic search

technique for the optimization of quality of steel bil-

lets produced by continuous casting, Engineering Ap-

plications of Artificial Intelligence. 14 (2001) 229-238.

https://doi.org/10.1016/S0952-1976(00)00075-0.

[23] D. Van der Spuy, I. Craig, P. Pistorius, An optimi-

zation procedure for the secondary cooling zone of a

continuous billet caster, Journal of the Southern African

Institute of Mining and Metallurgy. 99 (1999) 49-54.

https://hdl.handle.net/10520/AJA0038223X_2613.

80

[24] T. Mauder, C. Sandera, J. Stetina, Optimal control

algorithm for continuous casting process by using fuzzy

logic, Steel Research International. 86 (2015) 785-798.

https://doi.org/10.1002/srin.201400213.

[25] Y. Wang, X. Luo, Y. Yu, Q. Yin, Evaluation of

heat transfer coefficients in continuous casting under

large disturbance by weighted least squares Leven-

berg-Marquardt method, Applied Thermal Engineering.

111 (2017) 989-996. https://doi.org/10.1016/j.applther-

maleng.2016.09.154.

[26] Y. Yu, X. Luo, Estimation of heat transfer coeffi-

cients and heat flux on the billet surface by an integrated

approach, International Journal of Heat and Mass Trans-

fer. 90 (2015) 645-653. https://doi.org/10.1016/j.ijheat-

masstransfer.2015.07.008.

[27] T. Männikkö and M. Mäkelä, Nonsmooth penalty

techniques in control of the continuous casting process,

in: P. Neittaanmaki (eds), Numerical Methods for Free

Boundary Problems, Springer-Basel AG, 1991, pp.297-

307. https://doi.org/10.1007/978-3-0348-5715-426.

[28] B. Lally, L. Biegler, H. Henein, Optimization and

continuous casting: Part II Application to industrial cast-

ers, Metallurgical Transactions B. 22 (1991) 649-659.

https://doi.org/10.1007/BF02679020.

[29] S. Louhenkilpi, E. Laitinen, R. Nieminen, Real-time

simulation of heat transfer in continuous casting, Metal-

lurgical Transactions B. 24 (1993) 685-693. https://doi.

org/10.1007/BF02673184.

[30] M. Bellet, L. Salazar-Bbetancourt, O. Jaouen, F.

Costes, Modelling of water spray cooling Impact on ther-

momechanics of solid shell and automatic monitoring to

keep metallurgical length constant, European continuous

casting conference (8th ECCC), Austrian society for met-

allurgy and materials, 2014.

[31] R. Tavakoli, Smooth modeling of solidification

based on the latent heat evolution approach, The Interna-

tional Journal of Advanced Manufacturing Technology,

88 (2017) 3041-3052. https://doi.org/10.1007/s00170-

016-9012-7.

[32] M. Sadat, A. H. Gheysari, S. Sadat, The effects of

casting speed on steel continuous casting process, Heat

and mass transfer. 47 (2011) 1601-1609. https://doi. org/10.1007/s00231-011-0822-8.

[33] E. Majchrzak, Numerical simulation of continuous

casting solidification by boundary element method, En-

gineering Analysis with Boundary Elements. 11 (1993)

95-99. https://doi.org/10.1016/0955-7997(93)90028-J.

[34] Z. Han, D. Chen, K. Feng, M. Long, Development

and application of dynamic soft-reduction control model

to slab continuous casting process, ISIJ international. 50

(2010) 1637-1643. https://doi.org/10.2355/isijinterna-

tional.50.1637.

[35] M. Alizadeh, A. J. Jahromi, O. Abouali, A new

semi-analytical model for prediction of the strand surface

temperature in the continuous casting of steel in the mold

region, ISIJ international. 48 (2008) 161-169. https://doi.

org/10.2355/isijinternational.48.161.

[36] A. Pourfathi, R. Tavakoli, Thermal optimization of

secondary cooling systems in the continuous steel cast-

ing process, International Journal of Thermal Sciences.

183 (2023) 107860. https://doi.org/10.1016/j.ijthermals-

ci.2022.107860.

[37] Y. Yu, X. Luo, H. Y. Zhang, Q. Zhang, Dynamic op-

timization method of secondary cooling water quantity in

continuous casting based on three-dimensional transient

nonlinear convective heat transfer equation, Applied

Thermal Engineering. 160 (2019) 113988. https://doi.

org/10.1016/j.applthermaleng.2019.113988.

[38] S. Chaudhuri, R. Singh, K. Patwari, S. Majumdar,

1. Ray, A. Singh, N. Neogi, Design and implementation

of an automated secondary cooling system for the contin-

uous casting of billets, ISA transactions. 49 (2010) 121-

129. https://doi.org/10.1016/j.isatra.2009.09.005.

[39] S. Lalitha, S. Chattopadhyay, S. Das, K. Godiwal-

la, Simulation of heat transfer in the continuous casting

mold, Transactions of the Indian Institute of Metals. 44

(1991) 89-92.

[40] J. Dantzig, Ch. Tucker, Modeling in materials pro-

cessing, Cambridge university press, 2001.

[41] K. Spitzer, K. Harste, B. Weber, P. Monheim, K.

Schwerdtfeger, Mathematical model for thermal tracking

and on-line control in continuous casting, ISIJ interna-

tional. 32 (1992) 848-856. https://doi.org/10.2355/isijin-

ternational.32.848.