Results 11 to 20 of about 44,593 (206)
From the Boltzmann equation to fluid mechanics on a manifold [PDF]
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2011 We apply the Chapman–Enskog procedure to derive hydrodynamic equations on an arbitrary surface from the Boltzmann equation on the surface.
Love, Peter John, Cianci, Donato, '10
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Entropy, 2022 The Reynolds transport theorem occupies a central place in continuum mechanics, providing a generalized integral conservation equation for the transport of any conserved quantity within a fluid or material volume, which can be connected to its ...
Robert K. Niven
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Entropy, 2021 An innovative data-driven model-order reduction technique is proposed to model dilute micrometric or nanometric suspensions of microcapsules, i.e., microdrops protected in a thin hyperelastic membrane, which are used in Healthcare as innovative drug ...
Toufik Boubehziz +5 more
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Relativistic fluid mechanics, Kähler manifolds, and supersymmetry [PDF]
Physical Review D, 2003 We propose an alternative for the Clebsch decomposition of currents in fluid mechanics, in terms of complex potentials taking values in a Kahler manifold. We reformulate classical relativistic fluid mechanics in terms of these complex potentials and rederive the existence of an infinite set of conserved currents. We perform a canonical analysis to find
Nyawelo, T. S. +2 more
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Journal of Rock Mechanics and Geotechnical Engineering, 2020 The greatest challenges of rigorously modeling coupled hydro-mechanical (HM) processes in fractured geological media at different scales are associated with computational geometry.
Mengsu Hu, Jonny Rutqvist
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Edge states control droplet break-up in sub-critical extensional flows [PDF]
, 2018 A fluid droplet suspended in an extensional flow of moderate intensity may break into pieces, depending on the amplitude of the initial droplet deformation. In subcritical uniaxial extensional flow the non-breaking base state is linearly stable, implying
Gallaire, François +2 more
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On the coupling between an ideal fluid and immersed particles [PDF]
, 2012 In this paper we use Lagrange-Poincare reduction to understand the coupling between a fluid and a set of Lagrangian particles that are supposed to simulate it. In particular, we reinterpret the work of Cendra et al. by substituting velocity interpolation
Desbrun, Mathieu +2 more
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Fractional vector calculus and fluid mechanics
Journal of the Mechanical Behavior of Materials, 2017 Basic fluid mechanics equations are studied and revised under the prism of fractional continuum mechanics (FCM), a very promising research field that satisfies both experimental and theoretical demands.
Lazopoulos Konstantinos A. +1 more
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Hydrodynamic Flows on Curved Surfaces: Spectral Numerical Methods for Radial Manifold Shapes
, 2018 We formulate hydrodynamic equations and spectrally accurate numerical methods for investigating the role of geometry in flows within two-dimensional fluid interfaces.
Atzberger, Paul J., Gross, Ben J.
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From Lagrangian mechanics to nonequilibrium thermodynamics: a variational perspective
, 2018 In this paper, we survey our recent results on the variational formulation of nonequilibrium thermodynamics for the finite dimensional case of discrete systems as well as for the infinite dimensional case of continuum systems.
Gay-Balmaz, François +1 more
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