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Mixed Boundary Element—Finite Volume Methods for Thermohydrodynamic Lubrication Problems

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • J. Durany

    (Universidad de Vigo, Dpto. Matemática Aplicada II)

  • J. Pereira

    (Universidad de Vigo, Dpto. Matemática Aplicada II)

  • F. Varas

    (Universidad de Vigo, Dpto. Matemática Aplicada II)

Abstract

This work is focused on a steady coupled model for pressure and temperature computations in lubricated journal bearing devices, including the thermal exchange with the environment through the bush and the shaft. The thermohydrodynamic problem is decoupled through a fixed point procedure. In this way, a finite element method for the hydrodynamic Reynolds equation with a cavitation model of Elrod-Adams is applied. Then, the energy equation in the lubricating film is solved by a second-order cell-vertex volume method and the heat equation on the bush by using a P1 collocation boundary element method while the very simple model considered for the shaft is straightforwardly integrated. Finally, some remarks are made about the extension of the present algorithm to the corresponding transient problem.

Suggested Citation

  • J. Durany & J. Pereira & F. Varas, 2006. "Mixed Boundary Element—Finite Volume Methods for Thermohydrodynamic Lubrication Problems," Springer Books, in: Alfredo Bermúdez de Castro & Dolores Gómez & Peregrina Quintela & Pilar Salgado (ed.), Numerical Mathematics and Advanced Applications, pages 1164-1172, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-34288-5_117
    DOI: 10.1007/978-3-540-34288-5_117
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