2015
DOI: 10.1007/s40571-015-0090-3
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A FEM-DEM technique for studying the motion of particles in non-Newtonian fluids. Application to the transport of drill cuttings in wellbores

Abstract: We present a procedure for coupling the finite element method (FEM) and the discrete element method (DEM) for analysis of the motion of particles in non-Newtonian fluids. Particles are assumed to be spherical and immersed in the fluid mesh. A new method for computing the drag force on the particles in a non-Newtonian fluid is presented. A drag force correction for non-spherical particles is proposed. The FEM-DEM coupling procedure is explained for Eulerian and Lagrangian flows and the basic expressions of the … Show more

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Cited by 19 publications
(16 citation statements)
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“…In contrast to previous PFEM-DEM formulations [39,40], where the PFEM mesh nodes were assumed to be coincident with the suspended spherical elements, in this work the solid particles are free to move across the uid elements of the PFEM mesh, such as in the traditional particle-in-cell scheme [57,56]. This is extremely helpful in order to maintain a good quality of the mesh during the analysis at a reasonable cost, the reason being that the solid particles do not impose any restriction to the PFEM remeshing procedure.…”
Section: Introductionmentioning
confidence: 92%
“…In contrast to previous PFEM-DEM formulations [39,40], where the PFEM mesh nodes were assumed to be coincident with the suspended spherical elements, in this work the solid particles are free to move across the uid elements of the PFEM mesh, such as in the traditional particle-in-cell scheme [57,56]. This is extremely helpful in order to maintain a good quality of the mesh during the analysis at a reasonable cost, the reason being that the solid particles do not impose any restriction to the PFEM remeshing procedure.…”
Section: Introductionmentioning
confidence: 92%
“…For realistic cuttings feed rates this term is small and can be safely ignored. Note that an approximation has been made in (12), because the total pressure p0 is computed with dynamic pressure of the mud…”
Section: Conservation Statements For Two-phase Flowmentioning
confidence: 99%
“…In order to compute the cuttings slip velocity from relation (11) a correlation for the particle drag force is needed. Following the results of [12] a linear dependency was assumed…”
Section: Cuttings Drag Forcementioning
confidence: 99%
“…Often either a fully or coupled Discrete Element Method (DEM) is used. Thus contributions exhibit Lattice-Bolzmann-DEM approaches [8], SPH-DEM approaches [9,10], Finite-Element-DEM approaches [11,12] or Particle-Finite-Element-Method approaches (PFEM) [13] to name only a few. All of these methods have in common, that they are either Eulerian grid-based methods (FEM, LB) which are limited when large deformations are invloved or free surface flow is dominant or else are not able to discretize the surrounding fluid without a coupling algorithm (DEM).…”
Section: Introductionmentioning
confidence: 99%