Drag of a cylindrical object in a two-dimensional granular environment

Kubota, Takumi; Ishikawa, Haruto; Takada, Satoshi

doi:10.1051/epjconf/202124903033

Cited by 4 publications

(4 citation statements)

References 14 publications

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“…It is noted that the increasing rate of V depends on the distance ∆. Here, in the case of a single intruder, we previously reported that the relationship between the drag force F drag and the steady speed V is given by [13]…”

Section: Drag Lawmentioning

confidence: 91%

“…Using the same procedure in Ref. [13], the stress field can be constructed in terms of the Airy stress function χ as…”

Section: Stress Fields Around Intrudersmentioning

confidence: 99%

“…This is also numerically verified by Takada and Hayakawa in terms of the similar setup [10], where the intruder is pulled into a direction perpendicular to gravity. Relating to these studies, we previously studied the drag of the intruder using a similar setup to check how the stress fields around the intruder change as the drag force or the density of the system change [13]. We note that the drag problems are also studied in the context of the planetary science [25].…”

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confidence: 99%

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Drag of Two Cylindrical Intruders in a Two-Dimensional Granular Environment

Kubota¹,

Ishikawa²,

Takada³

2021

Preprint

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Drag of two cylindrical intruders in a twodimensional granular environment is numerically studied in terms of the discrete element method. We find the existence of the yield force, below which the intruders cannot move due to interactions with the surrounding particles. For above the yield force, on the other hand, the intruders can move at a constant speed. We investigate the relationship between the drag force and the stead-speed of the intruders, where the speed becomes larger as the distance between the intruders decreases. We confirm that the origin of the yield is the Coulombic friction between the particles and the bottom plate by changing the value of the friction coefficient. We also find that the yield force is almost proportional to the friction coefficient, which means that the number of particles determining the yield force is almost constant. On the other hand, the two-dimensional elasticity is applicable to determine the stress fields around the intruders. We confirm that the fields are reproduced by using the information of the stresses on the surfaces of the intruders by introducing the bipolar coordinates.

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Section: Drag Lawmentioning

confidence: 91%

“…Using the same procedure in Ref. [13], the stress field can be constructed in terms of the Airy stress function χ as…”

Section: Stress Fields Around Intrudersmentioning

confidence: 99%

mentioning

confidence: 99%

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Drag of Two Cylindrical Intruders in a Two-Dimensional Granular Environment

Kubota¹,

Ishikawa²,

Takada³

2021

Preprint

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“…The drag experienced by spherical and cylindrical intruders has been observed to scale linearly with the overburden weight of the sediments and crosssectional area when the intruder size is much greater than the sediment size [14][15][16]. The dynamic force resulting from granular collisions becomes important with speed and has been calculated in dry granular materials [17]. Presence of interstitial liquid influences the drag in granular beds [18][19][20], but remains relatively less studied compared to the dry granular case [21,22].…”

Section: Introductionmentioning

confidence: 99%

Drag anisotropy of cylindrical solids in fluid-saturated granular beds

Pal,

Kudrolli

2021

Preprint

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We study the direction-dependent drag acting on a cylindrical solid intruder with length L and diameter D as it moves in water-saturated granular beds at constant depth. Polysterene and hydrogel grains with diameter d are used to investigate materials which have high contact friction and those which are nearly frictionless, respectively. The drag on the intruder is measured while oriented perpendicular F ⊥ and parallel F to its axis as a function of speed U from the quasi-static to the rate-dependent regime. We find that the drag anisotropy ξ = F ⊥ /F is not constant, and increases significantly with driving rate and L/D in both mediums. In particular for L/D = 40, ξ increases from 2.6 to 4.5, and from 7.0 to 8.2 in the high and low friction beds, respectively, as the nondimensional Froude number F r = U/ g(D + d) is varied between 10 −4 and 2 × 10 −2 . On average, ξ is observed to increase logarithmically with L/D for L/D1. Exploiting the index-matched nature of hydrogel grains in water, we further show that the sediment flow around the cylinder in the two orientations is consistent with skin friction dominated drag. The relative contributions of the cylindrical side and the circular flat-ends on ξ are estimated with thin disks to understand the observed variation of drag with aspect ratio and surface friction.

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Drag anisotropy of cylindrical solids in fluid-saturated granular beds

Pal

Kudrolli

2021

Phys. Rev. Fluids

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Drag of a cylindrical object in a two-dimensional granular environment

Cited by 4 publications

References 14 publications

Drag of Two Cylindrical Intruders in a Two-Dimensional Granular Environment

Drag of Two Cylindrical Intruders in a Two-Dimensional Granular Environment

Drag anisotropy of cylindrical solids in fluid-saturated granular beds

Drag anisotropy of cylindrical solids in fluid-saturated granular beds

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