The Fluid Mechanics of Capsule Pipelines : 3rd Report. Analysis of the Pressure Loss in Eccentric Capsules Pipelines and Eccentric Annular Pipes

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This paper presents the theoretical and experimental results obtained by a study of eccentric cylindrical capsule transportation. The flow in the annular section of a capsule can be approximated by a flow through annular pipes when the inner pipe moves. A general formula for the pressure loss due to friction drag in a turbulent flow through stationary eccentric annuli is derived by applying the idea of the one-seventh power law for axial velocity distribution and a rational model of eccentricity. Furthermore, by applying the results obtained in the study of a concentric capsule flow, the formula is developed for the flow in the moving eccentric annuli. Then in the experimental part of this study, the validity of the formula is confirmed. And the capsule velocity, as well as the total pressure loss which is caused by friction drag and pressure drag, is estimated with reasonable accuracy.
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