THREE MODELS FOR RECTILINEAR PARTICLE MOTION WITH THE BASSET HISTORY FORCE

被引：0

作者：

Xu, Shujing ^{[1
]}

Nadim, Ali ^{[1
]}

机构：

[1] Claremont Grad Univ, Inst Math Sci, Claremont, CA 91711 USA

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年

关键词：

Particle motion; history force; integro-differential equations; Laplace transforms; numerical methods; multiphase flow; EQUATION-OF-MOTION; MODERATE REYNOLDS-NUMBER; SPHERICAL-PARTICLE; UNSTEADY-FLOW; TERM; COMPUTATION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider three model problems that describe rectilinear particle motion in a viscous fluid under the influence of the Basset history force. These problems consist of sedimentation starting from rest, impulsive motion in a quiescent fluid, and oscillatory sliding motion. The equations of motion are integro-differential equations with a weakly singular kernel. We derive analytical solutions to all three problems using Laplace transforms and discuss the mathematical relation between the sedimentation and impulsive start problems. We also compare several numerical schemes for solving the integrodifferential equations and benchmark them against the analytical results.

引用

页数：19

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