1977
DOI: 10.1115/1.3448903
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Capsule-Pipelining—An Improved Theoretical Analysis

Abstract: This paper provides an improvement over the earlier theoretical analysis for a rigid, frictionless, cylindrical capsule moving parallel to the horizontal pipe wall (Garg and Round [1]) by taking into account the effects of friction between the capsule and pipe surfaces and of nonuniform clearance over the capsule length. It is found that these effects markedly affect the energy requirements suggesting, thereby, an optimum operation of the capsule-pipeline system. The theoretical results are also compared with … Show more

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Cited by 7 publications
(3 citation statements)
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“…The average velocity and velocity profile in the annulus are postulated and a friction coefficient is used to estimate the drag on the capsule. The analysis of Garg (1977) allows the capsule to make an angle with the pipe wall and takes into account the solid-solid friction for a partially levitated capsule. The fundamental difficulty with this kind of analysis is that people do not understand how the capsule is suspended and tilted, and thus cannot estimate its equilibrium position and orientation in the pipe.…”
Section: Introductionmentioning
confidence: 99%
“…The average velocity and velocity profile in the annulus are postulated and a friction coefficient is used to estimate the drag on the capsule. The analysis of Garg (1977) allows the capsule to make an angle with the pipe wall and takes into account the solid-solid friction for a partially levitated capsule. The fundamental difficulty with this kind of analysis is that people do not understand how the capsule is suspended and tilted, and thus cannot estimate its equilibrium position and orientation in the pipe.…”
Section: Introductionmentioning
confidence: 99%
“…Garner et al [24], Kumar et al [25], and Markatos et al [26] studied the flow characteristics of both laminar and turbulent flows between a circular pipe and an eccentric moving cylindrical capsule. Garg [27], Ogawa et al [28], and Kroonenberg [29] introduced respective friction coefficients between the moving capsule wall and the pipe wall and established mathematical models of transporting a concentric cylindrical capsule within the pipelines. Flow characteristics of both the developing and the fully developed annular slit flows were estimated by Sud et al [30] and Tomita et al [31], through studying fundamental relationships between the turbulent flow and Von Karman's similarity hypothesis [24] in an idealized model of a highspeed ground transportation system.…”
Section: Mathematical Problems In Engineeringmentioning
confidence: 99%
“…[12] Garg investigated the capsule velocity, shear force, pressure ratio variation, and friction factor of a single cylindrical capsule in a horizontal pipe. [13] Liu and Graze measured the pressure distribution around a stationary cylindrical capsule in a pipe. Their results were used to determine the lift and drag on the capsule.…”
Section: Introductionmentioning
confidence: 99%