Experimental verification of fractional history effects on the viscous dynamics of small spherical particles

L’Espérance, Drew; Coimbra, Carlos F.M.; Trolinger, James D.; Rangel, R. H.

doi:10.1007/s00348-004-0905-0

Cited by 20 publications

(21 citation statements)

References 8 publications

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“…They incorporated virtual mass, Stokes drag, and history forces in their analytical model. Coimbra et al (2004) andL'Esperance et al (2005) experimentally studied the history effects on the particle motion in a viscous fluid.…”

Section: Introductionmentioning

confidence: 99%

Effect of Viscosity on Vibration-Induced Motion of a Spherical Particle Suspended in a Fluid Cell

Saadatmand

Kawaji

2010

Microgravity Sci. Technol.

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Production of protein and semi-conductor crystals with advanced quality and properties is possible under microgravity conditions due to the suppression of convection effects. However, aboard space platforms, g-jitter induced motions of solid particles can cause unsteady convection that may result in degradation of the properties of crystals produced. There are different effects of g-jitter on small particles suspended in a fluid cell which are not fully understood. To investigate these small vibration effects, ground experiments were conducted by suspending a spherical particle with a thin wire in a rectangular fluid cell and subjecting the cell and particle to horizontal vibrations with different frequencies and amplitudes. The fluid viscosity was varied to investigate the attraction or repulsion force induced in the direction normal to the direction of the vibration. The force was found to change from attraction to repulsion with an increase in the fluid viscosity and increase with the increasing vibration frequency and amplitude.

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Section: Introductionmentioning

confidence: 99%

Effect of Viscosity on Vibration-Induced Motion of a Spherical Particle Suspended in a Fluid Cell

Saadatmand

Kawaji

2010

Microgravity Sci. Technol.

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“…Equation (3) is defined for values of q such that 0 < q < 1. [36][37][38][39][40] The value of q = 0.5 was also observed to produce best results in our experiments, and we have used q = 0.5 as the fractional derivative order in our results. It can be observed that as q gets closer to 1, the history effects tend to disappear.…”

Section: Figurementioning

confidence: 76%

An SPH model to simulate the dynamic behavior of shear thickening fluids

Ozgen

Kallmann

Brown

2019

Computer Animation & Virtual

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While significant research has been dedicated to the simulation of fluids, not much attention has been given to exploring new interesting behavior that can be generated with different types of non-Newtonian fluids with nonconstant viscosity. Going in this direction, this paper introduces a computational model for simulating the most interesting phenomena observed in non-Newtonian shear thickening fluids, which are fluids where viscosity increases with increased stress. These fluids have unique and unconventional behavior, and they often appear in real-world scenarios such as when sinking in quicksand or when experimenting with popular cornstarch and water mixtures. The fluid exhibits unique phase changes between solid and liquid states, great impact resistance in its solid state, and strong hysteresis effects. Our proposed approach builds on existing non-Newtonian smoothed particle hydrodynamics (SPH) fluid models in computer graphics and introduces an efficient history-based stiffness term that is essential to produce the most interesting types of shear thickening phenomena. The history-based stiffness is formulated through the use of fractional derivatives, leveraging the fractional calculus ability to depict both the viscoelastic behavior and the history effects of history-dependent systems. Simulations produced by our method are compared against real experiments, and the results demonstrate that the proposed model successfully captures key phenomena specific to discontinuous shear thickening fluids.

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“…In their analytical model they included virtual mass, Stokes drag, and history forces. Later, their analysis was confirmed experimentally by Coimbra et al (2004) andL'Esperance et al (2005).…”

Section: Introductionmentioning

confidence: 75%

Vibration-Induced Attraction of a Particle Towards a Wall in Microgravity—The Mechanism of Attraction Force

Saadatmand

Kawaji

2011

Microgravity Sci. Technol.

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The effects of small vibrations on a particle oscillating near a solid wall in a fluid cell, relevant to material processing such as crystal growth in space, have been investigated by three dimensional direct numerical simulations. Simulations have been conducted for a solid spherical particle suspended in a fluid cell filled with a fluid of 1 cSt viscosity, vibrating sinusoidally in a horizontal direction. The simulations revealed the existence of a vibration-induced force attracting the particle towards the nearest cell wall which varied with the cell vibration frequency. The mechanism for this attraction force as well as an example showing the effects of this force on the particle are presented in this paper. The predicted flow patterns around the particle unveiled an accelerated flow in the gap between the particle and the nearest wall as well

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Experimental verification of fractional history effects on the viscous dynamics of small spherical particles

Cited by 20 publications

References 8 publications

Effect of Viscosity on Vibration-Induced Motion of a Spherical Particle Suspended in a Fluid Cell

Effect of Viscosity on Vibration-Induced Motion of a Spherical Particle Suspended in a Fluid Cell

An SPH model to simulate the dynamic behavior of shear thickening fluids

Vibration-Induced Attraction of a Particle Towards a Wall in Microgravity—The Mechanism of Attraction Force

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