Squeeze flow of a piezoviscous fluid

Martin Řehoř and Vít Průša

Applied Mathematics and Computation, 2016, vol. 274, issue C, 414-429

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.

Keywords: Squeeze flow; Piezoviscous fluid; Navier slip boundary condition; No-slip boundary condition; Surface tension; Spectral collocation (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:274:y:2016:i:c:p:414-429

DOI: 10.1016/j.amc.2015.11.008

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