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We study the rolling and sliding motion of droplets on a corrugated substrate by Molecular Dynamics simulations. Droplets are driven by an external body force (gravity) and we investigate the velocity profile and dissipation mechanisms in…

Soft Condensed Matter · Physics 2009-11-13 J. Servantie , M. Müller

The steady state motion of cylindrical droplets under the action of external body force is investigated both theoretically and via lattice Boltzmann simulation. As long as the shape-invariance of droplet is maintained, the droplet's…

Soft Condensed Matter · Physics 2011-02-11 Nasrollah Moradi , Fathollah Varnik , Ingo Steinbach

A mathematical model is derived for the dynamics of a cylinder, or wheel, rolling over a thin viscous film. The model combines the Reynolds lubrication equation for the fluid with an equation of motion for the wheel. Two asymptotic limits…

Fluid Dynamics · Physics 2025-11-18 Siqi Chen , Cheng Liu , Neil J. Balmforth , Sheldon Green , Boris Stoeber

Several locomotion strategies are based on the anisotropic nature of the forces experienced by the moving body with its environment. We report experiments on the anisotropy of the frictional force experienced by a cylinder moving in a…

Soft Condensed Matter · Physics 2024-02-08 René Zuñiga , Carlos Vasconcellos , Baptiste Darbois Texier , Francisco Melo

See http://www.youtube.com/watch?v=izbGXdjvK_I for a YouTube video showing part of the results in this paper.We will consider surfaces whose mean curvature at a point is a linear function of the square of the distance from that point to the…

Differential Geometry · Mathematics 2014-04-14 Bennett Palmer , Oscar Perdomo

This experimental study reports on the behavior of a filament attached to the rear of a three- dimensional cylinder. The axis of the cylinder is placed normal to a uniform incoming flow and the filament is free to move in the cylinder wake.…

Fluid Dynamics · Physics 2015-06-03 Nicolas Brosse , Carl Finmo , Fredrik Lundell , Shervin Bagheri

The evolution of the interface propagation in a slowly rotating half-filled horizontal cylinder is studied using MRI. Initially, the cylinder contains two axially segregated bands of small and large particles with a sharp interface. The…

Soft Condensed Matter · Physics 2009-10-31 Gerald H. Ristow , Masami Nakagawa

The paper is concerned with the problem on rolling of a homogeneous ball on an arbitrary surface. New cases when the problem is solved by quadratures are presented. The paper also indicates a special case when an additional integral and…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 A. V. Borisov , I. S. Mamaev , A. A. Kilin

The resistance against rolling of a rigid cylinder on a flat viscous surface is investigated. We found that the rolling-friction coefficient reveals strongly non-linear dependence on the cylinder's velocity. For low velocity the…

Materials Science · Physics 2009-10-31 Thorsten Poeschel , Thomas Schwager , Nikolai V. Brilliantov

In this paper, we investigate the motion of a neutrally buoyant cylinder of circular or elliptic shape in two dimensional shear flow of a Newtonian fluid by direct numerical simulation. The numerical results are validated by comparisons…

Fluid Dynamics · Physics 2012-09-06 Tsorng-Whay Pan , Shih-Lin Huang , Shih-Di Chen , Chin-Chou Chu , Chien-Cheng Chang

In this paper, we investigate the motion of a neutrally buoyant cylinder of an elliptic shape freely moving in two dimensional shear flow by direct numerical simulation. An elliptic shape cylinder in shear flow, when initially being placed…

Fluid Dynamics · Physics 2015-09-30 Shih-Lin Huang , Shih-Di Chen , Tsorng-Whay Pan , Chien-Cheng Chang , Chin-Chou Chu

We consider the impact of a ring crack within a rotating hollow cylinder of fixed height under axisymmetric (torsion) loading. The form of the displacement is obtained from the equation of motion using the Fourier sin transform. The…

Classical Physics · Physics 2023-09-21 Zinaida Zhuravlova , Igor Istenes , Daniel Peck , Yuriy Protserov , Nataly Vaysfeld

The present paper reports a novel behavior involving regular polygons with n sides and filled to varying degrees with granular materials. These are comprised of a set of hollow polygons produced on a 3D printer, and a single larger hollow…

Classical Physics · Physics 2020-05-05 Sidney Eckert , Phillip Ingalls , J. West

A potential theory is presented for the problem of two moving cylinders, with possibly different radii, large motions, immersed in an perfect stagnant fluid. We show that the fluid force is the superposition of an added mass term, related…

Fluid Dynamics · Physics 2021-01-27 Romain Lagrange , Xavier Delaune , Philippe Piteau , Laurent Borsoi , Jose Antunes

Using an exact numerical method for finite nonplanar objects, we demonstrate a stable mechanical suspension of a silica cylinder within a metallic cylinder separated by ethanol, via a repulsive Casimir force between the silica and the…

In this paper, we report experimental results on the shape and motion of a mercury droplet, placed in a horizontally rotating cylinder in the rpm range 8-93, so that the Reynolds number of the drop 2500<Re<26000 and its capillary number…

Fluid Dynamics · Physics 2011-05-13 Vijaya Senthil Kumar K. , Baburaj A. Puthenveettil

This note adds some critical remarks on the discussion presented in the McDonald's paper ([1]) on stability of steady motion of the well known problem of a disk rolling on a rough horizontal plane.

Classical Physics · Physics 2007-05-23 M Batista

A crystal lattice, when confined to the surface of a cylinder, must have a periodic structure that is commensurate with the cylinder circumference. This constraint can frustrate the system, leading to oblique crystal lattices or to…

Soft Condensed Matter · Physics 2013-07-03 D. A. Wood , C. D. Santangelo , A. D. Dinsmore

We present an experimental study of the motion of a circular disk spun onto a table. With the help of a high speed video system, the temporal evolutions of (i) the inclination angle $\alpha$, (ii) the angular velocity $\omega$ and (iii) the…

Statistical Mechanics · Physics 2009-11-10 H. Caps , S. Dorbolo , S. Ponte , H. Croisier , N. Vandewalle

Turbulent flow around a swept back circular cylinder was investigated experimentally using one or two small sweeping jets emanating tangentially to the surface and orthogonal to the axis of the cylinder creating a yawing moment that…

Fluid Dynamics · Physics 2023-01-31 Harshad Kalyankar , Lutz Taubert , Israel Wygnanski