Inverse Methodology for Estimating the Heat Transfer Coefficient in a Duplex Stainless Steel Casting

  • R. O. SousaEmail author
  • I. Felde
  • P. J. Ferreira
  • A. M. Deus
  • L. M. M. Ribeiro
Part of the Advanced Structured Materials book series (STRUCTMAT, volume 98)


In sand casting of metallic alloys, the cooling rate is a key parameter that affects the microstructure and the appearance of defects and residual stresses in the end cast components. In this work, a numerical model was developed to simulate the cooling of a duplex stainless steel casting on a furan-bonded sand mold. The heat transfer coefficient (HTC) as a function of temperature was determined by an inverse method. A good agreement between experimental and numerical cooling curves was achieved, showing the importance of estimating HTC as a function of temperature. On the basis of these results, it is possible to calculate thermal residual stresses and model the microstructure of duplex stainless steel castings with complex geometries.


Finite element analysis Inverse analysis Heat transfer coefficient Duplex stainless steel Furan-bonded sand 



We acknowledge the financial support of this work by the Hungarian State and the European Union under the EFOP-3.6.1-16-2016-00010 project and the Hungarian-Portuguese bilateral Scientific and Technological (TÉT_16-1-2016-0097) project/Project 3883, Fundação para a Ciência e Tecnologia (FCT—Portugal) and Nemzeti Kutatási, Fejlesztési és Innovációs Hivatal (NKFIH—Hungary).

The authors also acknowledge FERESPE—Fundição Portuguesa de Ferro e Aço (Portugal) for providing the material and technical support.


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • R. O. Sousa
    • 1
    • 2
    Email author
  • I. Felde
    • 3
  • P. J. Ferreira
    • 4
    • 5
    • 6
  • A. M. Deus
    • 5
    • 7
  • L. M. M. Ribeiro
    • 1
    • 2
  1. 1.Department of Metallurgical and Materials EngineeringUniversity of PortoPortoPortugal
  2. 2.INEGI, Institute of Science and Innovation in Mechanical and Industrial EngineeringPortoPortugal
  3. 3.John von Neumann Faculty of InformaticsÓbuda UniversityBudapestHungary
  4. 4.Iberian Nanotechnology LaboratoryBragaPortugal
  5. 5.Mechanical Engineering Department and IDMECInstituto Superior Técnico, University of LisbonLisbonPortugal
  6. 6.Materials Science and Engineering ProgramUniversity of Texas at AustinAustinUSA
  7. 7.CeFEMA, University of LisbonLisbonPortugal

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