Simulation and Verification of Liner (ZGMn13Cr2) Investment Casting Based on Modified Porous Media Equivalent Thermal Conductivity Model

Authors

  • Jingwei Ran School of Mechanical & Electrical Engineering, Guizhou Normal University, Chin
  • Dinghao Guo School of Mechanical & Electrical Engineering, Guizhou Normal University, China
  • Zhengwei Yan Guizhou Lines Machine Design and Manufacture Co., LTD, China
  • Bo Lin Guizhou Lines Machine Design and Manufacture Co., LTD, China
  • Zhengtao Ma Guizhou Lines Machine Design and Manufacture Co., LTD, China
  • Xishan Wang School of Mechanical & Electrical Engineering, Guizhou Normal University, China
  • Zhiping Xie School of Mechanical & Electrical Engineering, Guizhou Normal University, China
  • Rong Li School of Mechanical & Electrical Engineering, Guizhou Normal University, China https://orcid.org/0000-0001-5744-070X

DOI:

https://doi.org/10.24425/afe.2026.157986

Abstract

For the investment casting of ZGMn13Cr2 high-manganese steel porous liners, internal cavities can cause distortion in traditional numerical simulation of the temperature field and defect prediction. In this study, the Bruggeman porous medium equivalent thermal conductivity model was introduced and modified to suit porous castings. After calculating the overall porosity of the liner casting, an equivalent thermal conductivity scaling factor of 0.675 for the liner was derived based on the modified Bruggeman model, and simulations of the liner were carried out in ProCAST software using this correction factor. The simulation results show that the modified model significantly improved the uniformity of the temperature field and the synchronization of the solidification process, with more accurate shrinkage defect predictions. The maximum reduction in shrinkage volume at monitoring points reached 44.2%, and the uniformity of defect distribution was greatly enhanced. Finally, actual pouring of the liner product confirmed that the modified computational model was more consistent with the actual casting in terms of macroscopic forming, hole position accuracy, and defect distribution trends. This study provides a new approach for process simulation optimization of complex porous structure castings and offers practical experience for casting simulation and actual forming of porous products.

References

hengyang, C., Yueyang, L., Fengrui, Z., Shi, L. & Ji, Z. (2022). Progress in numerical simulation of casting process. Measurement and Control. 55(5-6), 257-264. https://doi.org/10.1177/00202940221102656. DOI: https://doi.org/10.1177/00202940221102656

[2] Xu, Q.Y. (2022). Research progress in numerical simulation of investment casting process. Foundry (China). 71(07), 803-813. https://kns.cnki.net/kcms2/article/abstract?v=SHX-2ztJhdcCo3uZgMOckLCRj_9tp6Nra_1qERjCogS8Mubv23LaCBXIE3FDXJRddsH5ykiGIij-dHze8BquEYrhIGXFvVgzO1W7f0PFp5LogXcaN3BCsEYusnPz2wnoDgGSPMloM-SGjDkX83dwS-t_GJjX9WBzPfJFgUippKXezMt39GwXqZd5QHiXZTEJ&uniplatform=NZKPT&language=CHS.

[3] Yang, X., Zhang, L., Lai, C., Li, S., Li, M. & Deng, Z. (2018). A method to control the transverse corner cracks on a continuous casting slab by combining microstructure analysis with numerical simulation of the slab temperature field. Steel Research International. 89(5), 1-8. https://doi.org/10.1002/srin.201700480. DOI: https://doi.org/10.1002/srin.201700480

[4] Rathod, H., Dhulia, J.K. & Maniar, N.P. (2017). Prediction of shrinkage porosity defect in sand casting process of LM25. IOP Conference Series: Materials Science and Engineering. 225(1), 1-8. DOI: 10.1088/1757-899X/225/1/012237. DOI: https://doi.org/10.1088/1757-899X/225/1/012237

[5] Chen, L., Li, J., Zhao, Y., Li, M., Li, L., Chen, L. & Hou, H. (2020). Numerical simulation and optimization of indirect squeeze casting process. Engineered Science. 13, 65-70. https://doi.org/10.30919/es8d1157. DOI: https://doi.org/10.30919/es8d1157

[6] Abdullin, A.D. (2017). New capabilities of the ProCAST 2017 software in simulating casting processes. Metallurgist. 61(5-6), 433-438. https://doi.org/10.1007/s11015-017-0513-x. DOI: https://doi.org/10.1007/s11015-017-0513-x

[7] Gigacher, G., Pierer, R., Wiener, J. & Bernhard, C. (2006). Metallurgical aspects of casting high‐manganese steel grades. Advanced Engineering Materials. 8(11), 1096-1100. https://doi.org/10.1002/adem.200600152. DOI: https://doi.org/10.1002/adem.200600152

[8] Hussein, A., Ahmed, M.R., Abid, H., Meshal, A., Ben, F.L. & Anjum, B.I. (2022). Effects of gating design on structural and mechanical properties of high manganese steel by optimizing casting process parameters. Journal of Mechanical Science and Technology. 36(8), 3931-3937. https://doi.org/10.1007/s12206-022-0715-4. DOI: https://doi.org/10.1007/s12206-022-0715-4

[9] Lasseux, D. & Parada, F.J.V. (2025). Corrigendum to “Simplifications of macroscopic models for heat and mass transfer in porous media”. Advances in Water Resources. 205, 105073, 1-4. https://doi.org/10.1016/j.Advwatres.2025.105073. DOI: https://doi.org/10.1016/j.advwatres.2025.105073

[10] Carson, J.K., Wang, J., North, M.F. & Cleland, D.J. (2016). Effective thermal conductivity prediction of foods using composition and temperature data. Journal of Food Engineering. 175, 65-73. https://doi.org/10.1016/j.jfoodeng.2015.12.006. DOI: https://doi.org/10.1016/j.jfoodeng.2015.12.006

[11] Shaga, A., Duan, L.L., Chen, X. & Zhang, X.J. (2025). Microstructure-controllable Al2O3 porous ceramics via cementitious agent-modified freeze casting and ambient curing. Ceramics International. 51(27A), 53047-53052. https://doi.org/10.1016/j.Ceramint.2025.09.035. DOI: https://doi.org/10.1016/j.ceramint.2025.09.035

[12] Ding, Y., Deng, M.Y., Zhou, S.X., Wang, Z.P., Dong, J.L. & Wei, Y.Q. (2019). he Evolution Relation Between Materials’ Porosity and Thermal Conductivity Based on the Simulation by COMSOL® Software. Materials Reports. 33(S1), 211-215.

[13] Huang, K. (2021). Research on prediction methods for effective thermal conductivity of porous media . Master’s thesis, Dalian University of Technology. https://link.cnki.net/doi/10.26991/d.cnki.gdllu.2021.000867.

[14] Hu, J.Z., Du, H.H., Liu, H.Y., Li, G.Y. & Fan, X.R. (2025). Research on the optimization of sand casting process for valve shell parts based on ProCAST numerical simulation. Metal Working, 1-7. https://link.cnki.net/urlid/11.5627.TH.20250917.1739.004.

[15] Wang, Y.B., Meng, Z.Y., Zhang, X.Q., Zhang, R.Q. & Zhu, C.L. (2025). Numerical simulation and process optimization of aluminum alloy shell investment casting. China Foundry Machinery & Technology. 60(04), 80-84.

[16] Wei, J.H. & Jiang, M.Q. (2020). Optimization design of investment casting process for K423 liner based on ProCAST. Special Casting & Nonferrous Alloys. 40(11), 1259-1261. https://doi.org/10.15980/j.tzzz.2020.11.018.

[17] Zhang, Y. C., Xiao, Z. X., Liang, G. X., Zhang, H. R., Zhang, L., Liu, X. L., & Feng, J. H. (2024). Evaluation of lost foam casting process for high manganese steel liner based on finite element simulation. Special Casting & Nonferrous Alloys. 44(11), 1528-1535. https://doi.org/10.15980/j.tzzz.2024.11.013.

[18] ZHY. (2025). Numerical Simulation Assisted Optimization of Gray Cast Iron Bearing Seat Casting Process. Retrieved October 15, 2025, from https://www.zhycasting.com/numerical-simulation-assisted-optimization-of-gray-cast-iron-bearing-seat-casting-process/?utm_source=chatgpt.com

[19] Bruggeman, D.A.G. (1935). Calculation of Various Physical Constants of Heterogeneous Substances. I. Dielectric Constants and Conductivities of Composite Bodies Made of Isotropic Substances. Annalen der Physik. 416(7), 636-679. https://doi.org/10.1002/andp.19354160705. (in German). DOI: https://doi.org/10.1002/andp.19354160802

Downloads

Published

2026-07-13

How to Cite

Ran, Jingwei, et al. “Simulation and Verification of Liner (ZGMn13Cr2) Investment Casting Based on Modified Porous Media Equivalent Thermal Conductivity Model”. Archives of Foundry Engineering, vol. 26, no. 2, July 2026, pp. 21-32, doi:10.24425/afe.2026.157986.

Issue

Section

Articles

Similar Articles

<< < 1 2 

You may also start an advanced similarity search for this article.