Wall effects on terminal falling velocity of spherical particles moving in a Carreau model fluid

Strnadel, Jaroslav; Simon, Miloslav; Machač, Ivan

doi:10.2478/s11696-011-0005-6

Cited by 10 publications

(3 citation statements)

References 6 publications

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“…When d < 0, there is penetration and, consequently, the contact force magnitude is determined as kcd, where kc is the penalty coefficient and n is the unit vector normal to the interface, n ≈ ∇d ∥∇d∥ . The second term considers the approximation effect near the walls; 39,40 this force is activated at a distance equal to δ of the radius of the sphere, expressed as a percentage of the radius of the sphere, where βc is a constant coefficient. A more sophisticated mechanism in order to consider the lubrication effects when the sphere is very close to the wall could be developed.…”

Section: B Solid-rigid Dynamicsmentioning

confidence: 99%

Numerical and experimental study of the motion of a sphere in a communicating vessel system subject to sloshing

et al. 2019

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Section: B Solid-rigid Dynamicsmentioning

confidence: 99%

Numerical and experimental study of the motion of a sphere in a communicating vessel system subject to sloshing

et al. 2019

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“…No precise data are available because all of the data were presented in graphical form. Many other investigators, for example, Delidis and Stamatoudis [ 3 ], Lali, et al [ 10 ], and Strnadel et al [ 22 ], presented numerous experimental results on boundary effects, but sufficient details have not been reported, such as the density of the fluid or the particle and the rheological parameters of liquid. Uhlherr and Chhabra [ 23 ] and Chhabra et al [ 24 ] provided their results in the form of F w -Re relationship, which is also inadequate for this paper.…”

Section: Databasementioning

confidence: 99%

Prediction of the Wall Factor of Arbitrary Particle Settling through Various Fluid Media in a Cylindrical Tube Using Artificial Intelligence

Zhang

Xue

et al. 2014

The Scientific World Journal

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Considering the influence of particle shape and the rheological properties of fluid, two artificial intelligence methods (Artificial Neural Network and Support Vector Machine) were used to predict the wall factor which is widely introduced to deduce the net hydrodynamic drag force of confining boundaries on settling particles. 513 data points were culled from the experimental data of previous studies, which were divided into training set and test set. Particles with various shapes were divided into three kinds: sphere, cylinder, and rectangular prism; feature parameters of each kind of particle were extracted; prediction models of sphere and cylinder using artificial neural network were established. Due to the little number of rectangular prism sample, support vector machine was used to predict the wall factor, which is more suitable for addressing the problem of small samples. The characteristic dimension was presented to describe the shape and size of the diverse particles and a comprehensive prediction model of particles with arbitrary shapes was established to cover all types of conditions. Comparisons were conducted between the predicted values and the experimental results.

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“…The next 3 viscosity models are special cases of the so-called Carreau fluid definition. Here, the dynamic viscosity η γ ( )  is shear rate dependent and the resulting viscous force is defined as follows, [7] to [10]:…”

Section: Simple Viscosity Modelsmentioning

confidence: 99%

A Theoretical and Numerical Study of an Additional Viscosity Term in a Modified Elasto-Plastic Friction Model for Wet Friction Clutch Simulations

Petrun¹,

Flašker²,

Kegl³

2013

SV-JME

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This paper deals with a theoretical and numerical study of various viscosity terms in the modified elasto-plastic friction model and their influence on the resulting friction force-torque, transmitted through the contact of the friction clutch. Various simple viscous definitions for fluids considering shear rate dependent viscosity were investigated. The Carreau fluid model was chosen as a basis for the research, since it can describe Newtonian, dilatant, and pseudo plastic fluids. In addition to theoretical investigations, numerical simulations under realistic friction clutch operation conditions were carried out. The results were compared to the results of a validation case for a dry friction clutch simulation using the modified elasto-plastic friction model. This research showed significant differences between various viscosity definitions and revealed the drawbacks of such approach, were simple viscous models were used.In addition to viscosity, calculating the heat generated due to friction and its influence on the contact temperatures are discussed briefly. The basic theory and equations are given along with the directions for future work. The requirements for an accurate temperature calculation in the friction contact are outlined.

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Wall effects on terminal falling velocity of spherical particles moving in a Carreau model fluid

Cited by 10 publications

References 6 publications

Numerical and experimental study of the motion of a sphere in a communicating vessel system subject to sloshing

Numerical and experimental study of the motion of a sphere in a communicating vessel system subject to sloshing

Prediction of the Wall Factor of Arbitrary Particle Settling through Various Fluid Media in a Cylindrical Tube Using Artificial Intelligence

A Theoretical and Numerical Study of an Additional Viscosity Term in a Modified Elasto-Plastic Friction Model for Wet Friction Clutch Simulations

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