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Axisymmetric Slow Motion of a Prolate Particle in a Circular Capillary with Slip Surfaces

Computer Modeling in Engineering & Sciences 2017年第3期113卷 343-366页

作者： Hong YYeh Huan JKeh Department of Chemical Engineering National Taiwan UniversityTaipei10617TaiwanROC

The problem of the steady migration of an axially symmetric prolate particle along its axis of revolution coinciding with the centerline of a circular capillary is investigated semi-analytically in the limit of low Reynolds number,where the viscous fluid may slip at the solid surfaces.A method of distribution of spherical singularities along the axis inside the particle is employed to establish the general solution of the fluid velocity satisfying the boundary conditions at the capillary wall and *** slip condition at the particle surface is then satisfied by using a boundary collocation.method to determine the unknown constants in this *** hydrodynamic drag force acting on the particle is obtained with good convergence for the cases of a prolate spheroid and a prolate Cassini oval with various values of the slip parameter of the particle,slip parameter of the capillary wall,aspect ratio or shape parameter of the particle,and spacing parameter between the particle and the *** the axially symmetric migrations of a spheroid and a Cassini oval in a capillary with no-slip surfaces and of a sphere in a capillary with slip surfaces,our results agree excellently with the numerical solutions obtained *** capillary wall affects the particle migration significantly when the solid surfaces get close to each *** a specified particle-in-capillary configuration,the normalized drag force exerted on the particle in general decreases with increasing slippage at the solid surfaces,except when the fluid slips little at the capillary wall and the particle-wall spacing parameter is relatively *** fixed spacing parameter and slip parameters,the drag force increases with an increase in the axial-to-radial aspect ratio(or surface area effective for viscous interaction with the capillary wall)of the particle,but this tendency can be reversed when the particle is highly slippery.

关键词： Creeping flow prolate spheroid passini oval Navier’s slip singularity distribution boundary collocation.

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Wavelet collocation.Methods for Viscosity Solutions to Swing Options in Natural Gas Storage

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Journal of Partial Differential Equations 2014年第3期27卷 229-244页

作者： LI Hua WARE Antony GUO Li School of Mathematics and Statistics Zhengzhou University Zhengzhou 450001 China. Department of Mathematics and Statistics University of Calgary 2500 University Drive NW Calgary AB Canada T2N1N4.

This paper presents the wavelet collocation.methods for the numerical ap- proximation of swing options for natural gas storage in a mean reverting market. The model is characterized by the Hamilton-Jacobi-Bellman （HJB） equations which only have the viscosity solution due to the irregularity of the swing option. The differential operator is formulated exactly and efficiently in the second generation interpolating wavelet setting. The convergence and stability of the numerical scheme are studied in the framework of viscosity solution theory. Numerical experiments demonstrate the accuracy and computational efficiency of the methods.

关键词： Swing option viscosity solution wavelet collocation.

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