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Modeling Heat Transfer Process in Grid-Holes Structure Changed in Time Using Fractional Variable Order Calculus

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Theory and Applications of Non-integer Order Systems

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 407))

Abstract

The paper presents results of modelling the heat transfer process in specific grid-holes media whose geometry is changed in time. The process will be modeled based on variable fractional order calculus. Responses of variable structure heat transfer system will be obtained from numerical simulation based on finite elements method.

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Acknowledgments

This work was partially supported in part by the Polish National Science Center with the decision number UMO-2014/15/B/ST7/00480, and by the PL - SK cooperation agreement under decision number SK-PL-2015-0038.

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Authors and Affiliations

  1. Institute of Control and Industrial Electronics, Warsaw University of Technology, Koszykowa 75, 00-662, Warsaw, Poland

    Piotr Sakrajda & Dominik Sierociuk

Authors
  1. Piotr Sakrajda
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  2. Dominik Sierociuk
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Corresponding author

Correspondence to Dominik Sierociuk .

Editor information

Editors and Affiliations

  1. Institute of Automatic Control, Silesian University of Technology Institute of Automatic Control, Gliwice, Poland

    Artur Babiarz

  2. Institute of Automatic Control, Silesian University of Technology Institute of Automatic Control, Gliwice, Poland

    Adam Czornik

  3. Institute of Automatic Control, Silesian University of Technology Institute of Automatic Control, Gliwice, Poland

    Jerzy Klamka

  4. Institute of Automatic Control, Silesian University of Technology Institute of Automatic Control, Gliwice, Poland

    Michał Niezabitowski

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Sakrajda, P., Sierociuk, D. (2017). Modeling Heat Transfer Process in Grid-Holes Structure Changed in Time Using Fractional Variable Order Calculus. In: Babiarz, A., Czornik, A., Klamka, J., Niezabitowski, M. (eds) Theory and Applications of Non-integer Order Systems. Lecture Notes in Electrical Engineering, vol 407. Springer, Cham. https://doi.org/10.1007/978-3-319-45474-0_27

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  • DOI: https://doi.org/10.1007/978-3-319-45474-0_27

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-45473-3

  • Online ISBN: 978-3-319-45474-0

  • eBook Packages: EngineeringEngineering (R0)

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