Flow of fluids with pressure dependent viscosities in an orthogonal rheometer subject to slip boundary conditions |
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Authors: | C Le Roux |
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Institution: | (1) Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria, 0002, South Africa |
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Abstract: | We consider slow steady flows of Navier–Stokes-like fluids with pressure dependent viscosities between rotating infinite parallel
plates with Navier slip boundary conditions. We derive exact solutions which correspond to flows in orthogonal and torsional
rheometers, and investigate the effect of the slip coefficient and the material parameters on the solutions. We find that
even when inertial effects are ignored, vorticity boundary layers develop at the upper boundary due to the pressure dependence
of the viscosity. These boundary layers diminish and eventually disappear with increased slippage. |
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Keywords: | Fluid Pressure dependent viscosity Orthogonal rheometer Slip boundary condition |
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