2022
DOI: 10.1007/s00332-021-09750-0
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Analysis of a Two-Fluid Taylor–Couette Flow with One Non-Newtonian Fluid

Abstract: We study the dynamic behaviour of two viscous fluid films confined between two concentric cylinders rotating at a small relative velocity. It is assumed that the fluids are immiscible and that the volume of the outer fluid film is large compared to the volume of the inner one. Moreover, while the outer fluid is considered to have constant viscosity, the rheological behaviour of the inner thin film is determined by a strain-dependent power-law. Starting from a Navier–Stokes system, we formally derive evolution … Show more

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Cited by 5 publications
(12 citation statements)
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“…In particular, the effects of surface tension, the shear forces induced by the rotation of the cylinder and the characteristic stresses of the non-Newtonian have a strong impact on the form of the resulting evolution equation for the interface. In [22] a more evolved equation is derived for the situation in which all three effects -surface tension, shear induced by the rotation of the cylinders and the characteristic stress of the non-Newtonian fluid -are comparable. In the present paper, we study the equation (1.1) which is obtained in the following asymptotic regime…”
Section: Lubrication Approximation and Taylor-couette Flows -The Non-...mentioning
confidence: 99%
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“…In particular, the effects of surface tension, the shear forces induced by the rotation of the cylinder and the characteristic stresses of the non-Newtonian have a strong impact on the form of the resulting evolution equation for the interface. In [22] a more evolved equation is derived for the situation in which all three effects -surface tension, shear induced by the rotation of the cylinders and the characteristic stress of the non-Newtonian fluid -are comparable. In the present paper, we study the equation (1.1) which is obtained in the following asymptotic regime…”
Section: Lubrication Approximation and Taylor-couette Flows -The Non-...mentioning
confidence: 99%
“…Conversely, if > 1, the viscosity decreases with increasing shear rate and the fluids are called shear-thinning fluids. The Newtonian case has been treated in [25] and the shear-thickening case has been studied in [22]. More details on these two cases are provided in Subsection 1.2.…”
Section: Introductionmentioning
confidence: 99%
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