Results 1 to 10 of about 41,982 (205)
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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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
Tino S. Nyawelo +2 more
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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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Wall-Modeled Large-Eddy Simulation of Autoignition-Dominated Supersonic Combustion [PDF]
, 2017 Simulations of combustion in high-speed and supersonic flows need to account for autoignition phenomena, compressibility, and the effects of intense turbulence.
Candler, Graham V. +2 more
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Variational Multisymplectic Formulations of Nonsmooth Continuum Mechanics [PDF]
, 2003 This paper develops the foundations of the multisymplectic formulation of nonsmooth continuum mechanics. It may be regarded as a PDE generalization of previous techniques that developed a variational approach to collision problems.
Fetecau, R. C. +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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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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Mechanical Systems: Symmetry and Reduction [PDF]
, 2008 Reduction theory is concerned with mechanical systems with symmetries. It constructs a lower dimensional reduced space in which associated conservation laws are taken out and symmetries are \factored out" and studies the relation between the dynamics ...
A. LOMAX +10 more
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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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