Drag coefficient and terminal velocity of spherical and nonspherical particles
TL;DR: In this paper, explicit equations for the drag coefficient and for the terminal velocity of falling spherical and nonspherical particles are developed for the CD and ut. The goodness of fit of these equations to the reported experimental data is evaluated and compared with that of other recently proposed equations.
About: This article is published in Powder Technology.The article was published on 1989-05-01. It has received 1632 citations till now. The article focuses on the topics: Drag coefficient & Terminal velocity.
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TL;DR: In this paper, an updated survey of published mathematical reactor models for biomass and waste gasification in bubbling and circulating fluidized bed (FB) gasifiers is presented, where semi-empirical correlations are used to simplify the fluid-dynamics.
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TL;DR: In this article, the Stokes' shape factor (K1) and the Newton's shape factor or scruple (K2) were modeled as functions of the geometric shape descriptors' sphericity and the projected area in the direction of motion.
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TL;DR: Holzer and Sommerfeld as discussed by the authors proposed a simple correlation formula for the standard drag coefficient (i.e., a single stationary particle in a uniform flow) of arbitrary shaped particles, which can be easily used in the frame of Lagrangian computations where also the particle orientation along the trajectory is computed.
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TL;DR: A review of the recent efforts in developing discrete element method (DEM) approaches to model non-spherical particulate systems (NSPS) and strategies of coupling such a nonspherical DEM model with computational fluid dynamics (CFD) for particle-fluid flows is presented in this paper.
414 citations
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405 citations
TL;DR: In this article, the motion and wake of freely falling disks were studied and it was found that the diverse motions of the disks exhibit a systematic dependence on the Reynolds number Re, and the dimensionless moment of inertia I*. The relation between I* and Re along the boundary separating stable and unstable pitching oscillations of the disk was determined.
Abstract: The motions and wakes of freely falling disks were studied and it was found that the diverse motions of the disks exhibit a systematic dependence on the Reynolds number Re, and the dimensionless moment of inertia I*. The relation between I* and Re along the boundary separating stable and unstable pitching oscillations of the disk was determined. The Reynolds number for stable motion of a disk with large I* is 100, in agreement with the Reynolds number for stability of the wake of a fixed disk. Slightly unstable disks of large I* were stabilized by reducing the moment of inertia. The highest Reynolds number for stable disk motion was 172. At higher Reynolds numbers the disks exhibited periodic pitching and translational oscillations. The laminar wake behind certain of the oscillating disks consisted of a staggered arrangement of two rows of regularly spaced vortex rings similar to the wake observed behind liquid drops by Margarvey and Bishop. The dependence of the dimensionless frequency of oscillation on I* and Re was determined along the boundary for stable motion and at higher Reynolds numbers when the wake was turbulent. Tumbling motions of the disks were observed when the Reynolds number was large, Re > 2000, and I* was greater than a certain value, I* = 10−2.
288 citations
TL;DR: In this paper, a series of new correlations for the drag force on a sphere moving in a fluid have been proposed, each covering a wide range of particle Reynolds number Re(10−2 < Re < 3 × 105) by choice of the appropriate form iterative calculations can be avoided.
Abstract: The published correlations for the drag force on a sphere moving in a fluid have been critically examined and their limitations have been identified. A series of new correlations has been proposed, each covering a wide range of particle Reynolds number Re(10−2< Re < 3 × 105) by choice of the appropriate form iterative calculations can be avoided.
247 citations
TL;DR: In this paper, a mathematical approximation to experimental data on the drag coefficient of a sphere is presented, which is compared with other approximations and shown to be significantly better both in range and in accuracy.
172 citations
TL;DR: Mise en place de correlation for decrire le mouvement d'une particule spherique tombant dans un liquide (cas de la sedimentation).
101 citations