2013
DOI: 10.1017/jfm.2013.203
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On the variety of particle accumulation structures under the effect of g-jitters

Abstract: The present analysis extends the author's earlier work (Lappa, Phys. Fluids 25(1) and Chaos 23(1)) on the properties of patterns formed by the spontaneous accumulation and ordering of solid particles in certain types of flow (with a toroidal structure and a traveling wave propagating in the azimuthal direction) by considering the potential impact of "vibrations" (gjitters) on such dynamics. It is shown that a kaleidoscope of possible variants exist whose nature and variety calls for a concerted analysis using… Show more

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Cited by 40 publications
(59 citation statements)
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“…The typical (non-dimensional) time integration step used for all the simulation has been set to 10 -8 (satisfying two different criteria, namely the well-known conditions for the numerical stability of the diffusive and convective equation terms appearing in both the momentum and energy equation, see, e.g., Ref 78 The CFD kernel of the present code was successfully used for numerous studies of fundamental fluid-dynamics (the reader being referred to Lappa 20 for an assessment of the code performances for a typical problem of turbulent gravitational convection) and repeatedly validated also by comparison with other kinds of convection (of various natures, see, e.g., Refs. 47,78 ).…”
Section: Solution Methods and Mesh Refinement Studymentioning
confidence: 99%
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“…The typical (non-dimensional) time integration step used for all the simulation has been set to 10 -8 (satisfying two different criteria, namely the well-known conditions for the numerical stability of the diffusive and convective equation terms appearing in both the momentum and energy equation, see, e.g., Ref 78 The CFD kernel of the present code was successfully used for numerous studies of fundamental fluid-dynamics (the reader being referred to Lappa 20 for an assessment of the code performances for a typical problem of turbulent gravitational convection) and repeatedly validated also by comparison with other kinds of convection (of various natures, see, e.g., Refs. 47,78 ).…”
Section: Solution Methods and Mesh Refinement Studymentioning
confidence: 99%
“…For the sake of consistency with earlier works addressing companion subjects [47][48][49][50][51][52][53] , as the characteristic time scale of the fluid flow, we consider:…”
Section: Solid Mattermentioning
confidence: 99%
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“…where L is the characteristic size of the considered geometrical domain 28 , and  the fluid kinematic viscosity). The resulting non-dimensional ratio reads…”
mentioning
confidence: 99%
“…For the first case the method was verified on the test case reported by Melnikov et al, 43 (results of the validation study are summarized in Table I, the reader being also referred to Ref. 44 for further details). Results for the full-zone (silicone oil with properties shown in Table II) are summarized in Fig.…”
Section: Grid Refinement and Validationmentioning
confidence: 99%