On the translation of a cylinder in a long tube

Liu, Hui; Bau, Haim H.; Hu, Hsou Mei

doi:10.1063/1.1650334

Cited by 7 publications

(8 citation statements)

References 11 publications

(21 reference statements)

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“…There is much less work on flow produced by objects moving in channels. Most work in this area has been motivated by fundamental interest in particles moving in closed tubes and channels (Happel and Brenner, 1965;Davis, 1992), or by the needle viscometer (Thiessen and Krantz, 1992;Wehbeh et al, 1993;Liu et al, 2004), which primarily considers long cylinders translating in closed tubes. The current theoretical study investigates the efficiency of this pumping mechanism, the potential to generate useful flow rates, the effects of bead rotation and position, and the effects of channel curvature.…”

Section: Introductionmentioning

confidence: 99%

A Theoretical Model of a Molecular-Motor-Powered Pump

Bull

Hunt

Meyhöfer

2005

Biomed Microdevices

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The motion of a cylindrical bead in a fluid contained within a two-dimensional channel is investigated using the boundary element method as a model of a biomolecular-motor-powered microfluidics pump. The novelty of the pump lies in the use of motor proteins (kinesin) to power the bead motion and the few moving parts comprising the pump. The performance and feasibility of this pump design is investigated using two model geometries: a straight channel, and a curved channel with two concentric circular walls. In the straight channel geometry, it is shown that increasing the bead radius relative to the channel width, increases the flow rate at the expense of increasing the force the kinesins must generate in order to move the bead. Pump efficiency is generally higher for larger bead radii, and larger beads can support higher imposed loads. In the circular channel geometry, it is shown that bead rotation modifies the force required to move the bead and that shifting the bead inward slightly reduces the required force. Bead rotation has a minimal effect on flow rate. Recirculation regions, which can develop between the bead and the channel walls, influence the stresses and force on the bead. These results suggest this pump design is feasible, and the kinesin molecules provide sufficient force to deliver pico- to atto- l/s flows.

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Section: Introductionmentioning

confidence: 99%

A Theoretical Model of a Molecular-Motor-Powered Pump

Bull

Hunt

Meyhöfer

2005

Biomed Microdevices

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“…The results from his study have been used in this work to validate our numerical solver. Liu, Bau & Hu (2004) studied, both theoretically and experimentally, the sedimentation of a short cylinder inside a long circular tube in the low-Reynolds-number limit. Bi-cylindrical coordinates were used to derive an analytical expression for how a long guided eccentric cylinder will move along the tube.…”

Section: Introductionmentioning

confidence: 99%

Sedimentation of an ellipsoid inside an infinitely long tube at low and intermediate Reynolds numbers

Swaminathan

Mukundakrishnan

2006

J. Fluid Mech.

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The motion of a heavy rigid ellipsoidal particle settling in an infinitely long circular tube filled with an incompressible Newtonian fluid has been studied numerically for three categories of problems, namely, when both fluid and particle inertia are negligible, when fluid inertia is negligible but particle inertia is present, and when both fluid and particle inertia are present. The governing equations for both the fluid and the solid particle have been solved using an arbitrary Lagrangian-Eulerian based finite-element method. Under Stokes flow conditions, an ellipsoid without inertia is observed to follow a perfectly periodic orbit in which the particle rotates and moves from side to side in the tube as it settles. The amplitude and the period of this oscillatory motion depend on the initial orientation and the aspect ratio of the ellipsoid. An ellipsoid with inertia is found to follow initially a similar oscillatory motion with increasing amplitude. Its orientation tends towards a flatter configuration, and the rate of change of its orientation is found to be a function of the particle Stokes number which characterizes the particle inertia. The ellipsoid eventually collides with the tube wall, and settles into a different periodic orbit. For cases with non-zero Reynolds numbers, an ellipsoid is seen to attain a steady-state configuration wherein it falls vertically. The location and configuration of this steady equilibrium varies with the Reynolds number.

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“…Numerous engineering applications, ranging from down-hole plug pumping in oil wells to missile launching in a torpedo tube, can be modeled by a cylinder translating with fluid flow in a horizontal pipe. The instantaneous force that acts on the cylinder is often of interest during the translating process (Liu, Bau, & Hu, 2004). This kind of fluid-solid coupling flow is complex because it is inherently transient and affected by several physical parameters (Kartushinsky, Michaelides, Rudi, Tisler, & Shcheglov, 2011).…”

Section: Introductionmentioning

confidence: 99%

Translation simulation of a cylinder in a horizontal pipe

Yao

Ding

Zhang

et al. 2019

Engineering Applications of Computational Fluid Mechanics

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This article analyses the passive motion of a cylinder driven by flow in a horizontal pipe using the CFD method. In previous study by Yao et al. (2018) [A new openhole multistage hydraulic fracturing system and the ball plug motion in a horizontal pipe. Journal of Natural Gas Science and Engineering, Vol. 50,, the motion of a cylinder in a horizontal pipe was investigated experimentally. The cylinder was observed contacting with the pipe bottom, meanwhile it behaved like a guided body with its axis parallel to that of the horizontal pipe. Apart from some observations, it was very hard to gain more knowledge about the flow distribution around the cylinder and the role played by the cylinder's eccentricity in the translation. In order to conduct an extended research, this article concentrates on a general model which considers eccentricity and cylinder-pipe interaction. Moreover, a novel yet efficient approach, which investigates the translation process in a control volume attached to the cylinder, is proposed to simulate the motion utilizing the moving reference frame technique. A series of numerical simulations, with various cylinder dimensions and eccentricities, are conducted to investigate the dynamics of the cylinder and fluid. Meanwhile, the validity of the simulations is proved by comparing the results of experiments with the simulations. Lastly, an error analysis is conducted, and the limitations of this study are highlighted. ARTICLE HISTORY

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On the translation of a cylinder in a long tube

Cited by 7 publications

References 11 publications

A Theoretical Model of a Molecular-Motor-Powered Pump

A Theoretical Model of a Molecular-Motor-Powered Pump

Sedimentation of an ellipsoid inside an infinitely long tube at low and intermediate Reynolds numbers

Translation simulation of a cylinder in a horizontal pipe

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