Creeping sphere motion in Herschel-Bulkley fluids: flow field and drag

Atapattu, D.D.; Chhabra, R.P.; Uhlherr, P. H. T.

doi:10.1016/0377-0257(95)01373-4

Cited by 162 publications

(145 citation statements)

References 22 publications

Supporting

Mentioning

128

Contrasting

Unclassified

Order By: Relevance

“…The shear strength is denoted by , gravitational acceleration by g, sphere diameter by d, and  is the difference in the sphere and bulk fluid densities (Attapatu et al 1995, Chhabra 1992. Andres' (1961) analytical solution has Y=0.22.…”

Section: Static Equilibrium Of Spheresmentioning

confidence: 99%

“…Therefore, for a spherical sludge weight or densitometer, the critical gravity yield number is Y~0.04-0.08. The most probable value may be given by Attapatu et al (1995), who report that the available experimental data indicate Y~0.061. In regards to the uncertainty of the results, Attapatu et al (1995) and Chhabra (1992) suggest that methods used to determine the materials shear strength and experimental setup may contribute.…”

Section: Static Equilibrium Of Spheresmentioning

confidence: 99%

See 1 more Smart Citation

An Approach to Understanding Cohesive Slurry Settling, Mobilization, and Hydrogen Gas Retention in Pulsed Jet Mixed Vessels

Gauglitz¹,

Wells²,

Fort³

et al. 2009

View full text Add to dashboard Cite

Section: Static Equilibrium Of Spheresmentioning

confidence: 99%

Section: Static Equilibrium Of Spheresmentioning

confidence: 99%

An Approach to Understanding Cohesive Slurry Settling, Mobilization, and Hydrogen Gas Retention in Pulsed Jet Mixed Vessels

Gauglitz¹,

Wells²,

Fort³

et al. 2009

View full text Add to dashboard Cite

“…The high apparent viscosities in the nonconvective layer and the low velocities of the ball are indicative of creeping flow. The drag force on a ball traversing in a viscoplastic material in the creepingflow regime can be estimated from an experimental correlation for the ball drag coefficient, CDb (Atapattu et al 1995). By d e f e g a generalized ball Reynolds number for viscoplastic fluids, ReGb, .…”

Section: Apparent Viscosity Of the Nonconvective Layermentioning

confidence: 99%

In situ rheology and gas volume in Hanford double-shell waste tanks

Stewart¹,

Alzheimer²,

Brewster³

et al. 1996

View full text Add to dashboard Cite

“…Hence, discrepancies between experimental investigations can somewhat be explained by wall effects; it is pertinent to quantify and, if possible, eliminate the error they introduce. As an example, in later experimental studies of a settling sphere in a Herschel-Bulkley fluid [22,25], it was observed that for a rectangular test cell of square cross section, a cell width to sphere diameter ratio of 10 was sufficient to negate wall effects. This is supported by numerical flow field visualisations for Bingham fluids [11].…”

Section: Settling Spherementioning

confidence: 99%

“…A primary concern of these early experimental studies was the development of an empirical formula relating the non-dimensional drag coefficient of a sphere to the Bingham fluid yield-stress. After the notion that C D was dependant upon the yield-stress and dynamic forces of the fluid acting on the particle, the modified Reynolds number, Re * , was developed [19] in order to quantify inertial, viscous and yield-stress forces concurrently, Based on the modified Reynolds number presented above, an experimental drag correlation for Bingham fluids, perhaps the most successful to date [22], was developed [21],…”

Section: Settling Spherementioning

confidence: 99%

Performance evaluation of an implicitly-regularised model for viscoplastic particle suspensions

Vaira¹

View full text Add to dashboard Cite

Firstly, I would like to show my appreciation towards my supervisor, Dr. Christopher Leonardi, for all of the support and advice over the last six months. Your thorough feedback and constant interest in and dedication to the project drove me to produce the highest quality work I could. My development throughout the project has been immeasurable, with the work opening my eyes to a world of future career possibilities, and for those things I am grateful.To Wojciech Regulski in Poland, thank you for the many code implementations, constant assistance, and the opportunity to share in your work. This was as much your project as it was mine. Good luck with your current work and future studies.Finally, to my family, thank you for keeping me grounded and providing an unwavering source of support that I could depend upon. To my friends, thank you for the much needed laughter (even if it did verge on hysterical at times) and for providing numerous outlets for me to blow off some steam. This year has been the most challenging of my life so far, but also the most enjoyable.ii Abstract Due to their unique properties, dense viscoplastic fluid-particle suspensions have significant potential to be used in a number of industrial applications, from hydraulic fracturing to pipeline particulate transport. However, the rheological properties of these suspensions are currently poorly understood, with no comprehensive modelling strategies existing to predict their behaviour. Numerous numerical difficulties arise when attempting to model viscoplastic suspensions, a key cause of which is the presence of a fluid yield-stress. Currently, a number of explicit regularisation techniques are used to approximate the yieldstress, the inherent numerical inaccuracies of which are quite often given little attention.A coupled LBM-DEM numerical approach presents an excellent solution to modelling the bulk movement of particles within suspensions, and has been successfully applied to the modelling of dense Newtonian suspensions. Of key importance, however, the LBM allows for an implicit regularisation of the yield-stress, in which the constitutive Bingham fluid is solved without the need for the approximations of current explicit solvers. Hence, it was hypothesised that the implicitly-regularised (IR) model is superior for the modelling of viscoplastic fluids, a claim which, if true, would lead to the eventual direct numerical simulation of dense viscoplastic particle suspensions. Consequently, the aim of the investigation was to evaluate the performance of the IR LBM-DEM in viscoplastic fluid-particle coupling, compared to that of the explicit Papanastasiou-regularised (PR) two-relaxation-time (TRT) method.To achieve this, five numerical testing models were developed, based off existing numerical and experimental studies of simplified benchmark problems in the literature. These 2-D and 3-D simulations provided a basis for the validation of the IR model, as well as a means for performance comparisons between the IR and TRT models.In initial 2-D simula...

show abstract

Creeping sphere motion in Herschel-Bulkley fluids: flow field and drag

Cited by 162 publications

References 22 publications

An Approach to Understanding Cohesive Slurry Settling, Mobilization, and Hydrogen Gas Retention in Pulsed Jet Mixed Vessels

An Approach to Understanding Cohesive Slurry Settling, Mobilization, and Hydrogen Gas Retention in Pulsed Jet Mixed Vessels

In situ rheology and gas volume in Hanford double-shell waste tanks

Performance evaluation of an implicitly-regularised model for viscoplastic particle suspensions

Contact Info

Product

Resources

About