Viscosity of suspensions modeled with a shear-dependent maximum packing fraction

Wildemuth, C. R.; Williams, Michael C.

doi:10.1007/bf01438803

Cited by 225 publications

(119 citation statements)

References 25 publications

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“…In subsequent papers a correlation between CD and a modified Reynolds number, was outlined (the interested reader may consult the papers of Ansley and Smith [4], and Dedegil [19]). Other interesting contributions on this subject are due to [39], [40], and [41]. A very good fit with the above experimental results was obtained by Beris et al [6] integrating the equation of motion by finite elements, thus also recovering the lower and upper estimates previously obtained by Yoshioka et al [43].…”

Section: Some General Facts About Sedimentationsupporting

confidence: 81%

Sedimentation in Coal-Water Slurry Pipelining

Rosso

2000

Complex Flows in Industrial Processes

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In this paper we present an overview of recent investigations on the problem of sedimentation related to the pipelining of a Coal-Water Slurry. The main aspects of the problem are both the determination of the sedimentation velocity, and the understanding and modelling of the dynamics of the sedimentation bed which accumulates on the bottom of the pipe. The analysis is carried out using a combination of suggestions dictated by experimental evidence and suitable mathematical techniques. The result is a model which appears to be both easily manageable and flexible. Predictions of the model are compared with experiments finding a remarkable agreement with the available data.

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Section: Some General Facts About Sedimentationsupporting

confidence: 81%

Sedimentation in Coal-Water Slurry Pipelining

Rosso

2000

Complex Flows in Industrial Processes

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“…Consequently, a rigid microstructure assembled by particles is produced, i.e., the maximum packing fraction U m increases with the shearing force. Based on the research of Wildemuth and Williams (1984), the viscosity of slurry declines with increasing U m .…”

Section: Rheological Characteristics Of Lws (A = 0)mentioning

confidence: 99%

Improving slurryability, rheology, and stability of slurry fuel from blending petroleum coke with lignite

Liu

et al. 2015

Pet. Sci.

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Petroleum coke and lignite are two important fossil fuels that have not been widely used in China. Petroleum coke-lignite slurry (PCLS), a mixture of petroleum coke, lignite, water, and additives, efficiently utilizes the two materials. In this study, we investigate the effects of the proportion (a) of petroleum coke on slurryability, rheological behavior, stability, and increasing temperature characteristics of PCLSs. The results show that the fixedviscosity solid concentration (x 0 ) increases with increasing a. The x 0 of lignite-water slurry (LWS, a = 0) is 46.7 %, compared to 71.3 % for the petroleum coke-water slurry (PCWS, a = 100 %), while that of PCLS is in between the two values. The rheological behavior of PCLS perfectly fits the power-law model. The PCWS acts as a dilatant fluid. As a decreases, the slurry behaves first as an approximate Newtonian fluid, and then turns into a pseudo-plastic fluid that exhibits shear-thinning behavior. With increasing a, the rigid sedimentation and water separation ratio (WSR) increase, indicating a decrease in the stability of PCLS. When a is 60-70 %, the result is a high-quality slurry fuel for industrial applications, which has high slurryability (x 0 = 57-60 %), good stability (WSR \ 2 %), and superior pseudo-plastic behavior (n & 0.9).

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“…Both choices seem to present advantages and disadvantages, and a compromise between Model 1 and Model 2 could be to use h 1 (φ) and to replace µ mix (φ) by µ eff (φ), for which semi-empirical laws such as [32] …”

Section: Modelmentioning

confidence: 99%

Phenomenological foundation and mathematical theory of sedimentation–consolidation processes

Bürger

2000

Chemical Engineering Journal

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The phenomenological theory of sedimentation describes a flocculated suspension as a mixture of the solid and the fluid as two superimposed continuous media. Starting from the mass and linear momentum balances for each component, this theory yields, through constitutive assumptions and an order-of-magnitude analysis, three coupled partial differential equations describing the sedimentation-consolidation behaviour of the suspension in several space dimensions. The study and numerical solution of this system of equations has started only recently, but results are available for the one-dimensional case, in which these modelling equations reduce to a scalar hyperbolic-parabolic strongly degenerate partial differential equation with appropriate initial and boundary conditions. In this contribution, the research work performed by several groups of mathematicians on the formulation, analysis and numerical solution of mathematical sedimentation models is reviewed, with an emphasis on theoretical and numerical results for the simulation of the behaviour of compressible slurries.

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Viscosity of suspensions modeled with a shear-dependent maximum packing fraction

Cited by 225 publications

References 25 publications

Sedimentation in Coal-Water Slurry Pipelining

Sedimentation in Coal-Water Slurry Pipelining

Improving slurryability, rheology, and stability of slurry fuel from blending petroleum coke with lignite

Phenomenological foundation and mathematical theory of sedimentation–consolidation processes

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