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Squeeze flow of a piezoviscous fluid

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  • Řehoř, Martin
  • Průša, Vít

Abstract

We investigate the squeeze flow of a piezoviscous fluid. The classical Navier–Stokes fluid model and the no-slip boundary condition on the plate–fluid interface implies the presence of the pressure singularity at the contact line. It can be conjectured that the same behaviour is present even for piezoviscous fluids. Consequently the pressure variation in the fluid could be large, and the pressure dependent viscosity could be important even if the piezoviscous coefficient is apparently small. We investigate this conjecture by means of numerical simulation based on a variant of the spectral collocation method. The numerical simulations indicate that the effects due to pressure dependent viscosity are for certain range of parameter values significant.

Suggested Citation

  • Řehoř, Martin & Průša, Vít, 2016. "Squeeze flow of a piezoviscous fluid," Applied Mathematics and Computation, Elsevier, vol. 274(C), pages 414-429.
    • Handle: RePEc:eee:apmaco:v:274:y:2016:i:c:p:414-429
    DOI: 10.1016/j.amc.2015.11.008
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    References listed on IDEAS

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    1. Hron, J. & Málek, J. & Nečas, J. & Rajagopal, K.R., 2003. "Numerical simulations and global existence of solutions of two-dimensional flows of fluids with pressure- and shear-dependent viscosities," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 61(3), pages 297-315.
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