Drag and lift forces on a rigid sphere immersed in a wall-bounded linear shear flow

Shi, Pengyu; Rzehak, Roland; Lucas, Dirk; Magnaudet, Jacques

doi:10.1103/physrevfluids.6.104309

Cited by 11 publications

(21 citation statements)

References 46 publications

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“…This is the case in the present study, where is small, and values of are an order of magnitude higher than the range for which the correlations proposed by Shi et al. (2021) are valid. Although maximum values in Zeng et al.…”

Section: Resultscontrasting

confidence: 46%

“…While the DNS by Shi et al. (2021) may be more relevant to the present study, their correlations are valid within a narrow range of the relative shear rate, . In the case when becomes small, such as for nearly neutrally buoyant particles, magnitudes of exceed this range easily.…”

Section: Resultsmentioning

confidence: 77%

“…2021) and for low (; see also Shi et al. 2021). However, combined wall and shear contributions (superimposed nonlinearly) do superimpose linearly with the rotational contribution to the total lift coefficient (Shi et al.…”

Section: Resultsmentioning

confidence: 89%

“…(2009) and Shi et al. (2021) have proposed correlations for the drag and lift coefficients based on direct numerical simulations (DNS) studies of a stationary sphere in a wall-bounded linear shear flow and of a rigid sphere translating steadily near a wall, either in a fluid at rest or in the presence of a uniform shear, respectively. While the DNS by Shi et al.…”

Section: Resultsmentioning

confidence: 99%

“…Zeng (2007) showed that linear superposition of wall and shear contributions is incorrect and underestimates the actual lift coefficient especially when close to the wall (; Shi et al. 2021) and for low (; see also Shi et al. 2021).…”

Section: Resultsmentioning

confidence: 99%

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Combined three-dimensional flow field measurements and motion tracking of freely moving spheres in a turbulent boundary layer

et al. 2022

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A combination of time-resolved tomographic particle image velocimetry, refractive index matching technique and machine vision algorithms was used to measure the translational and rotational motion of freely moving, nearly neutrally buoyant spheres in a fully developed turbulent boundary layer (TBL). Located in the buffer and logarithmic layers, the hydrogel spheres ( $\sim$ 70 inner wall units in diameter) were refractive index matched with the water and tagged by ‘spokes’. Besides translational motion, the spheres exhibited significant rotation. The spheres were surrounded by typical coherent structures observed in TBLs, among them hairpin packets and transverse and longitudinal vortices that induced ejections and sweeps. While the majority of instantaneous sphere Reynolds numbers did not exceed 100, and vortex shedding was not observed, the results showed that the spheres may affect the evolution of hairpin packets in TBLs due to their finite size. The instantaneous rotation-, wall- and shear-induced lift forces, as well as the drag forces, acting on the spheres were estimated using available correlations for the lift and drag coefficients. Results hinted at negative shear-induced lift due to flow separation at a smaller critical Reynolds number than incorporated in the correlations that do not include the effect of ambient turbulence. The results indicated further that the drag force aided by the rotation-induced lift force was instrumental in keeping one of the spheres aloft. For the wall-ward moving spheres, lift forces opposed sphere motion. As a result, the spheres approached the wall with velocities lower than their quiescent settling velocity.

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Section: Resultscontrasting

confidence: 46%

Section: Resultsmentioning

confidence: 77%

Section: Resultsmentioning

confidence: 89%

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

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Combined three-dimensional flow field measurements and motion tracking of freely moving spheres in a turbulent boundary layer

et al. 2022

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A Note on Modeling the Effects of Surfactants on Bubble‐Induced Turbulence

Liao

Hessenkemper

et al. 2023

Chem Eng & Technol

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Recent experimental results reveal that with rising concentration of surfactants, the generated bubble‐induced turbulence (BIT) increases as well, although the bubbles rise slower. Herein, it is shown that this phenomenon has not be considered so far in the standard Reynolds‐averaged Navier‐Stokes (RANS) modeling for BIT, using the Ansatz with source terms added to the transport equation of turbulent kinetic energy and dissipation, respectively. Some problematic issues related to the common concepts for closure of the liquid‐phase turbulence kinetic energy equation are also discussed. Furthermore, this issue is demonstrated by simulating the experiments using two‐fluid approach.

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Enhanced pinch flow fractionation using inertial streamline crossing

Timary

Cappello

Scheid

2022

Microfluid Nanofluid

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In this work, we study the influence of inertia on the dynamics of neutrally buoyant spherical microbeads of varying diameter in a Pinch Flow Fractionation device. To that aim, we monitor their trajectory over an unprecedented wide range of flow rates and flow rate ratios. Our experimental results are supplemented by a depth-averaged 2D-model where the flow is described using the Navier-Stokes equation coupled with the shallow channel approximation and where particles trajectories are computed from Newton's second law of motion with a particle tracing model. Above a certain flow rate, we show that particles inertia enables them to cross streamlines in response to an abrupt change of direction. These streamline crossing events combined with the increasing effect of the inertial lift forces drive particles to deviate from the inertialess trajectory. The amplitude of the resulting inertial deviation increases both with the particles diameter and the total flow rate before reaching a plateau. Consequently, based on our numerical and experimental results, we determine the optimal flow conditions to shift the particles distribution to significantly enhance their size-based separation.

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Drag and lift forces on a rigid sphere immersed in a wall-bounded linear shear flow

Cited by 11 publications

References 46 publications

Combined three-dimensional flow field measurements and motion tracking of freely moving spheres in a turbulent boundary layer

Combined three-dimensional flow field measurements and motion tracking of freely moving spheres in a turbulent boundary layer

A Note on Modeling the Effects of Surfactants on Bubble‐Induced Turbulence

Enhanced pinch flow fractionation using inertial streamline crossing

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