Correlations for inclined prolates based on highly resolved simulations

“…Overall, the flow past the cylinder looks massively separated in between the free streamlines f s − and f s + , the position of the 'eye' governing the flow structure in the intermediate region. A similar open separation configuration was recently observed over inclined prolate spheroids in the range 5 ≤ Re ≤ 100 in [33]. We now make use of the numerical results to build approximate force and torque laws valid for |θ| 30 • and Re 10 in the stationary non-axisymmetric flow regime.…”

Section: A Flow Structuresupporting

confidence: 59%

Flow structure and loads over inclined cylindrical rodlike particles and fibers

Kharrouba,

Pierson,

Magnaudet

2021

Preprint

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The flow past a fixed finite-length circular cylinder, the axis of which makes a nonzero angle with the incoming stream, is studied through fully-resolved simulations, from creeping-flow conditions to strongly inertial regimes. The investigation focuses on the way the body aspect ratio χ (defined as as the length-to-diameter ratio), the inclination angle θ with respect to the incoming flow and the Reynolds number Re (based on the cylinder diameter) affect the flow structure past the body and therefore the hydrodynamic loads acting on it. The configuration θ = 0 • (where the cylinder is aligned with the flow) is first considered from creeping-flow conditions up to Re = 400, with aspect ratios up to 20 (10) for Re ≤ 10 (Re ≥ 10). In the low-to-moderate Reynolds number regime (Re 5), influence or the aspect ratio, inclination (from 0 • to 30 • ), and inertial effects is examined by comparing numerical results for the axial and transverse force components and the spanwise torque with theoretical predictions based on the slender-body approximation, possibly incorporating finite-Reynolds-number corrections. Semiempirical models based on these predictions and incorporating finite-length and inertial corrections extracted from the numerical data are derived. For large enough Reynolds numbers (Re 10 2 ), separation takes place along the upstream part of the lateral surface of the cylinder, deeply influencing the surface stress distribution. Numerical results are used to build empirical models for the force components and the torque, valid for moderately inclined cylinders (|θ| 30 • ) of arbitrary aspect ratio up to Re ≈ 300 and matching those obtained at low-to-moderate Reynolds number.

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“…During the last decade, a number of notable works to provide correlations to calculate drag and lift are reported for finite Reynolds numbers [24,25,26,27,28,29]. Majority of those are obtained through data fitting and satisfy the theoretical formulation at the limiting cases.…”

Section: Introductionmentioning

confidence: 99%

“…Forces on the spherical particle in the vicinity of a rough wall for liner shear flow have been estimated by Lee and Balachandar [8]. Frohlich et al [28] have also performed a number of simulations using the Cartesian cut cell method for an ellipsoid in an unbounded uniform flow. They have reported that beyond certain aspect ratio (> 3), the flow is not influenced much with the aspect ratio.…”

Section: Introductionmentioning

confidence: 99%

Effect of rough wall on drag, lift, and torque on an ellipsoidal particle in a linear shear flow

Bhagat¹,

Goswami²

2022

Preprint

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The present study provides a detailed description of the forces on an ellipsoidal particle in the vicinity of the rough wall. Three-dimensional numerical simulations are performed using body-fitted mesh to estimate the drag, lift, and torque coefficients. A large number of simulations are conducted over a range of parameters such as shear Reynolds number (10 ≤ Re s ≤ 100), orientation angle (0°≤ θ ≤ 180°), and wall-particle separation distance (0.1 ≤ δ ≤ 2.0) to get a comprehensive description of variation of the above coefficients. Using the simulation results, we develop the correlations for the drag and lift coefficients to describe the effect of rough wall, inclination angles, and particle Reynolds numbers on the hydrodynamic coefficients. The proposed correlations can be used for two phase flow simulation using Eulerian-Lagrangian framework.

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Correlations for inclined prolates based on highly resolved simulations

Abstract: Abstract

Cited by 37 publications

References 46 publications

Flow structure and loads over inclined cylindrical rodlike particles and fibers

Flow structure and loads over inclined cylindrical rodlike particles and fibers

Flow structure and loads over inclined cylindrical rodlike particles and fibers

Effect of rough wall on drag, lift, and torque on an ellipsoidal particle in a linear shear flow

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