An application of the method of matched asymptotic expansions for low Reynolds number flow past a cylinder of arbitrary cross-section.
Kohr, Mirela (2004)
International Journal of Mathematics and Mathematical Sciences
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Kohr, Mirela (2004)
International Journal of Mathematics and Mathematical Sciences
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Liu, Chi-Min (2009)
Mathematical Problems in Engineering
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Charles-Henri Bruneau (2000)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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David Gérard-Varet, Matthieu Hillairet (2012)
ESAIM: Mathematical Modelling and Numerical Analysis
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We consider the effect of surface roughness on solid-solid contact in a Stokes flow. Various models for the roughness are considered, and a unified methodology is given to derive the corresponding asymptotics of the drag force in the close-contact limit. In this way, we recover and clarify the various expressions that can be found in previous studies.
David Gérard-Varet, Matthieu Hillairet (2012)
ESAIM: Mathematical Modelling and Numerical Analysis
Similarity:
We consider the effect of surface roughness on solid-solid contact in a Stokes flow. Various models for the roughness are considered, and a unified methodology is given to derive the corresponding asymptotics of the drag force in the close-contact limit. In this way, we recover and clarify the various expressions that can be found in previous studies.
Moshkin, N.P., Yambangwai, D. (2009)
Mathematical Problems in Engineering
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Macherla Vasudevaiah, Kumbakonam R. Rajagopal (2005)
Applications of Mathematics
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Stokes recognized that the viscosity of a fluid can depend on the normal stress and that in certain flows such as flows in a pipe or in channels under normal conditions, this dependence can be neglected. However, there are many other flows, which have technological significance, where the dependence of the viscosity on the pressure cannot be neglected. Numerous experimental studies have unequivocally shown that the viscosity depends on the pressure, and that this dependence can be quite...