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Motion of a permeable shell in a spherical container filled with non-Newtonian fluid

Applied Mathematics and Mechanics(English Edition) 2017年第12期38卷 1697-1708页

作者： V.MISHRA B.R.GUPTA Department of Mathematics Jaypee University of Engineering and TechnologyMadhya Pradesh 473226India

This paper presents an analytical study of creeping motion of a permeable sphere in a spherical container filled with a micro-polar fluid. The drag experienced by the permeable sphere when it passes through the center of the spherical container is studied. Stream function solutions for the flow fields are obtained in terms of modified Bessel functions and Gegenbauer functions. The pressure fields, the micro-rotation components, the drag experienced by a permeable sphere, the wall correction factor, and the flow rate through the permeable surface are obtained for the frictionless impermeable spherical container and the zero shear stress at the impermeable spherical container. Variations of the drag force and the wall correction factor with respect to different fluid parameters are studied. It is observed that the drag force, the wall correction factor, and the flow rate are greater for the frictionless impermeable spherical container than the zero shear stress at the impermeable spherical container. Several cases of interest are deduced from the present analysis.

关键词： micro-polar fluid permeable sphere Darcy law stream function drag force wall correction factor spherical container

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ANALYSIS OF NONLINEAR SLOSHING IN spherical container

ANALYSIS OF NONLINEAR SLOSHING IN SPHERICAL CONTAINER

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The Third International Conference on Dynamics, Vibration and Control

作者： J.Lu~1 J.F.Li~2 and T.S.Wang~2 1 School of Aeronautics Science and Engineering Beihang University Beijing100191 China 2 School of Aerospace Tsinghua University Beijing 100081 China

＜正＞A fluid partly occupying a moving tank undergoes *** motions generate severe hydrodynamic loads that might be dangerous for structural integrity and stability of rockets,satellites,ships and *** for recent large vehicles in particular,the fluid contributes a non-negligible portion to the total mass of the vehicle,and therefore the importance of sloshing is accentuated.

关键词： Nonlinear sloshing spherical container equivalent mechanical model arbitrary excitation

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