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The Model of Non-stationary Heat Conduction in a Metal Mould

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Mechatronics 2017 (MECHATRONICS 2017)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 644))

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Abstract

This article focuses on the heat conduction in shell metal moulds. Such moulds are used in the automotive industry at the artificial leather production. The outer part of the mould is heated by infrared heaters, and after the required temperature is attained, the inner part of the mould is sprinkled with a special PVC powder. An approximately uniform temperature field in the mould is necessary to obtain artificial leather of standard quality. The described mathematical model and package ANSYS allow us to calculate the temperature field during the heating of the mould. The influence of the boundary condition on the solution of the parabolic equation of the heat conduction is studied. The simple linear Newton boundary condition and the boundary condition considering own heat radiation of the mould determined by Stefan-Boltzmann law are investigated in this article.

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References

  1. Price, K.V., Storn, R.M., Lampien, J.A.: Differential evolution. Springer, Heidelberg (2005)

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  2. Knobloch, R., Mlýnek, J., Srb, R.: The classic differential algorithm and its convergence properties. J. Appl. Math. (2017). doi:10.21136/AM.2017.0274-16

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  3. Mlýnek, J., Knobloch, R., Srb, R.: Optimization of a heat radiation intensity and temperature field on the mould surface. In: Proceedings of the 30th European Conference on Modelling and Simulation, Regensburg, Germany, pp. 425–431 (2016). doi:10.7148/2016-0425

  4. Cengel, Y.A.: Heat and Mass Transfer. McGraw-Hill, New York (2007)

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Acknowledgement

This article was supported by grant SGS-FP-TUL 21167.

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Authors and Affiliations

  1. Department of Mathematics, Technical University of Liberec, Studentská 2, 461 17, Liberec, Czech Republic

    Jaroslav Mlýnek & Roman Knobloch

Authors
  1. Jaroslav Mlýnek
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  2. Roman Knobloch
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Corresponding author

Correspondence to Jaroslav Mlýnek .

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Editors and Affiliations

  1. Faculty of Mechanical Engineering, Institute of Mathematics, Brno University of Technology, Brno, Czech Republic

    Tomáš Březina

  2. Faculty of Mechatronics, Institute of Metrology and Biomedical Engineering, Warsaw University of Technology, Warsaw, Poland

    Ryszard Jabłoński

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Mlýnek, J., Knobloch, R. (2018). The Model of Non-stationary Heat Conduction in a Metal Mould. In: Březina, T., Jabłoński, R. (eds) Mechatronics 2017. MECHATRONICS 2017. Advances in Intelligent Systems and Computing, vol 644. Springer, Cham. https://doi.org/10.1007/978-3-319-65960-2_45

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  • DOI: https://doi.org/10.1007/978-3-319-65960-2_45

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-65959-6

  • Online ISBN: 978-3-319-65960-2

  • eBook Packages: EngineeringEngineering (R0)

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