Journal ArticleDOI
Creeping flow relative to permeable spheres
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In this paper, several possible solutions to the problem of creeping flow relative to an isolated permeable sphere are discussed and compared quantitatively, and the most satisfactory solutions are based upon Brinkman's extension of Darcy's Law.About:
This article is published in Chemical Engineering Science.The article was published on 1973-10-01. It has received 334 citations till now. The article focuses on the topics: Stokes flow.read more
Citations
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Practical significance of brinkman's extension of darcy's law: Coupled parallel flows within a channel and a bounding porous medium
Graham Neale,Walter Nader +1 more
TL;DR: In this article, it is demonstrated that the predictions of these workers may be derived independently, without having to formulate empirical boundary conditions, by employing Brinkman's extension of Darcy's Law within the porous medium.
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Gas fluidization characteristics of nanoparticle agglomerates
TL;DR: In this paper, an experimental study was conducted to determine the effect of different types of nanoparticles on the gas fluidization characteristics of nanoparticle agglomerates at the bed surface.
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Hydrodynamic Force and Heat/Mass Transfer From Particles, Bubbles, and Drops—The Freeman Scholar Lecture
TL;DR: In this article, the analytical form of the hydrodynamic force and heat/mass transfer from a particle, bubble or drop is examined critically, and some of the recent computational studies which help strengthen or clarify our knowledge of the complex velocity and temperature fields associated with the momentum and heat transfer processes are also mentioned in a succinct way.
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Generation and properties of aerobic granular sludge.
T. Etterer,Peter A. Wilderer +1 more
TL;DR: The validity of general assumptions in free-settling tests is indicated, showing an average granula porosity of 72% for the first run and 65% average porosity for the second run.
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On the free-settling test for estimating activated sludge floc density
TL;DR: In this article, the feasibility of using free-settling test for estimating activated sludge floc density was discussed and the results showed that floc permeability depends strongly on the models or parameter sets applied.
References
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Journal ArticleDOI
Boundary conditions at a naturally permeable wall
TL;DR: In this article, a simple theory based on replacing the effect of the boundary layer with a slip velocity proportional to the exterior velocity gradient is proposed and shown to be in reasonable agreement with experimental results.
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On the Boundary Condition at the Surface of a Porous Medium
P. G. Saffman,P. G. Saffman +1 more
TL;DR: In this paper, a theoretical justification for an empirical boundary condition proposed by Beavers and Joseph is given for non-homogeneous porous medium, and the statistical approach is checked by using it to derive Einstein's law for the viscosity of dilute suspensions.
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Slow flow through stationary random beds and suspensions of spheres
TL;DR: In this article, a generalization of Brinkman's (1947) method, which is applicable to both stationary beds and suspensions, is presented, and an expression for the settling velocity is derived.
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Model for predicting pressure drop and filtration efficiency in fibrous media
Lloyd A. Spielman,Simon L. Goren +1 more
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The drag on a cloud of spherical particles in low Reynolds number flow
TL;DR: In this article, a model for the drag exerted on a cloud of spherical particles of a given particle size distribution in low Reynolds number flow is derived, where the drag experienced by a particle depends only on the first three moments of the distribution function.