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Numerical Simulation of the Flow in Magnetic Fluid Rotary Shaft Seals

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Large-Scale Scientific Computing (LSSC 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2907))

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Abstract

The hydrodynamical properties of the magnetic fluid in magnetic fluid seals are described by a coupled system of nonlinear partial differential equations in a three-dimensional domain with free boundaries. We propose a reduction of the three-dimensional model and describe the resulting two subproblems, the calculation of new boundaries for given flow and magnetic data, and the computation of the flow in a fixed domain, which have to be solved in an iterative manner. We consider in detail the finite element solving strategy for the flow part, which builds the main effort within the overall algorithm and show the results of a numerical test example.

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References

  1. Bänsch, E., Höhn, B.: Numerical treatment of the Navier-Stokes equations with slip boundary condition. SIAM J. Sci. Comp. 20, 2144–2162 (2000)

    Article  Google Scholar 

  2. Girault, V., Raviart, P.: Finite element methods for Navier-Stokes equations. Theory and algorithms. Springer, Berlin (1986)

    MATH  Google Scholar 

  3. John, V., Knobloch, P., Matthies, G., Tobiska, L.: Non-nested multi-level solvers for finite element discretizations of mixed problems. Computing 68, 343–373 (2002)

    Article  MathSciNet  Google Scholar 

  4. John, V., Matthies, G.: MooNMD - a program package based on mapped finite element methods. Technical Report 02-01, Fakultät für Mathematik, Otto-von- Guericke-Universität Magdeburg (2002)

    Google Scholar 

  5. Mitkova, T.: Lösbarkeit eines mathematischen Modells für Dichtungen mit magnetischen Flüssigkeiten. Technische Mechanik 20, 283–293 (2000)

    Google Scholar 

  6. Polevikov, V., Tobiska, L.: Modeling of a dynamic magneto-fluid seal in the presence of a pressure drop. Fluid Dynamics 36, 890–898 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  7. Rosensweig, R.E.: Ferrohydrodynamics. Dover Publications, Inc., Mineola (1997)

    Google Scholar 

  8. Vanka, S.: Block-implicit multigrid calculation of two-dimensional recirculating flows. Comp. Meth. Appl. Mech. Eng. 59, 29–48 (1986)

    Article  MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Institute of Analysis and Numerical Mathematics, Otto–von–Guericke–University Magdeburg, Postfach 4120, 39016, Magdeburg, Germany

    Teodora Mitkova & Lutz Tobiska

Authors
  1. Teodora Mitkova
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  2. Lutz Tobiska
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Editor information

Editors and Affiliations

  1. Institute for Parallel Processing, Bulgarian Academy of Sciences, Acad. G. Bonchev, Bl. 25A, 1113, Sofia, Bulgaria

    Ivan Lirkov

  2. Institute for Parallel Processing, Bulgarian Academy of Sciences, Acad. G. Bonchev Str. Bl. 25-A, 1113, Sofia, Bulgaria

    Svetozar Margenov

  3. Informatics & Mathematical Modeling, Technical University of Denmark, DK-2800, Lyngby, Denmark

    Jerzy Waśniewski

  4. Center of Applied Mathematics and Informatics, University of Rousse, 7017, Rousse, Bulgaria

    Plamen Yalamov

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© 2004 Springer-Verlag Berlin Heidelberg

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Mitkova, T., Tobiska, L. (2004). Numerical Simulation of the Flow in Magnetic Fluid Rotary Shaft Seals. In: Lirkov, I., Margenov, S., Waśniewski, J., Yalamov, P. (eds) Large-Scale Scientific Computing. LSSC 2003. Lecture Notes in Computer Science, vol 2907. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24588-9_45

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  • DOI: https://doi.org/10.1007/978-3-540-24588-9_45

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-21090-0

  • Online ISBN: 978-3-540-24588-9

  • eBook Packages: Springer Book Archive

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