Results 1 to 10 of about 388,732 (104)
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
arxiv +7 more sources
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
arxiv +5 more sources
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
doaj +1 more source
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
doaj +1 more source
A differential geometric description of thermodynamics in continuum mechanics with application to Fourier-Navier-Stokes fluids [PDF]
Physics of Fluids, 2022, 2022 A description of thermodynamics for continuum mechanical systems is presented in the coordinate-free language of exterior calculus. First, a careful description of the mathematical tools that are needed to formulate the relevant conservation laws is given.
arxiv +1 more source
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
doaj +1 more source
Stable Manifolds and the Transition to Turbulence in Pipe Flow [PDF]
Journal of Fluid Mechanics, vol. 627 (2009), p. 215-233, 2008 Lower-branch traveling waves and equilibria computed in pipe flow and other shear flows appear intermediate between turbulent and laminar motions. We take a step towards connecting these lower-branch solutions to transition by deriving a numerical method for finding certain special disturbances of the laminar flow in a short pipe.
arxiv +1 more source
The Added Mass Effect and the Higgs Mechanism [PDF]
Resonance 25(2), 191 (2020), published by the Indian Academy of
Sciences, 2020 A rigid body accelerated through an inviscid, incompressible fluid appears to gain mass, which is encoded in an added mass tensor. Swimmers, air bubbles, submarines and airships are slowed down by the associated `added mass' force proportional to their acceleration, which is distinct from viscous drag and buoyancy.
arxiv +1 more source
A product shape manifold approach for optimizing piecewise-smooth shapes [PDF]
, 2023 Spaces where each element describes a shape, so-called shape spaces, are of particular interest in shape optimization and its applications. Theory and algorithms in shape optimization are often based on techniques from differential geometry. Challenges arise when an application demands a non-smooth shape, which is commonly-encountered as an optimal ...
arxiv +1 more source
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
doaj