Growing bubbles rising in line.
Harper, John F. (2001)
Journal of Applied Mathematics and Decision Sciences
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Harper, John F. (2001)
Journal of Applied Mathematics and Decision Sciences
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Javier Jiménez (2007)
RACSAM
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The study of turbulence near walls has experienced a renaissance in the last decade, in part because of the availability of high-quality numerical simulations. The viscous and buffer layers over smooth walls are now fairly well understood. They are essentially independent of the outer flow, and there is a family of numerically-exact nonlinear structures that predict well many of the best-known characteristics of the wall layer, such as the intensity and the spectra of the velocity fluctuations,...
Rosar, M. E., Peskin, Charles S. (2001)
The New York Journal of Mathematics [electronic only]
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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...
Olivier Darrigol (2002)
Revue d'histoire des mathématiques
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The stability or instability of a few basic flows was conjectured, debated, and sometimes proved in the nineteenth century. Motivations varied from turbulence observed in real flows to permanence expected in hydrodynamic theories of matter. Contemporary mathematics often failed to provide rigorous answers, and personal intuitions sometimes gave wrong results. Yet some of the basic ideas and methods of the modern theory of hydrodynamic instability occurred to the elite of British and...
Stéphanie Salmon, Marc Thiriet, Jean-Frédéric Gerbeau (2003)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Saccular aneurisms, swelling of a blood vessel, are investigated in order (i) to estimate the development risk of the wall lesion, before and after intravascular treatment, assuming that the pressure is the major factor, and (ii) to better plan medical interventions. Numerical simulations, using the finite element method, are performed in three-dimensional aneurisms. Computational meshes are derived from medical imaging data to take into account both between-subject and within-subject...
Shorten, Paul R., Wall, David J.N. (2001)
Journal of Applied Mathematics and Decision Sciences
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Vajravelu, K., Nayfeh, Ali H. (1981)
International Journal of Mathematics and Mathematical Sciences
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Nezlin, M.V., Rylov, A.Yu., Snezhkin, E.N., Titishov, K.B., Chernikov, G.P. (1999)
Discrete Dynamics in Nature and Society
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Rathod, V.P., Asha, S.K. (2011)
Journal of Applied Mathematics
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