Numerical modeling of the movement of a rigid particle in viscous fluid

Josef Ježek; Stanislav Saic; Karel Segeth

Applications of Mathematics (1999)

  • Volume: 44, Issue: 6, page 469-479
  • ISSN: 0862-7940

Abstract

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Modeling the movement of a rigid particle in viscous fluid is a problem physicists and mathematicians have tried to solve since the beginning of this century. A general model for an ellipsoidal particle was first published by Jeffery in the twenties. We exploit the fact that Jeffery was concerned with formulae which can be used to compute numerically the velocity field in the neighborhood of the particle during his derivation of equations of motion of the particle. This is our principal contribution to the subject. After a thorough check of Jeffery’s formulae, we coded software for modeling the flow around a rigid particle based on these equations. Examples of its applications are given in conclusion. A practical example is concerned with the simulation of sigmoidal inclusion trails in porphyroblast.

How to cite

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Ježek, Josef, Saic, Stanislav, and Segeth, Karel. "Numerical modeling of the movement of a rigid particle in viscous fluid." Applications of Mathematics 44.6 (1999): 469-479. <http://eudml.org/doc/33043>.

@article{Ježek1999,
abstract = {Modeling the movement of a rigid particle in viscous fluid is a problem physicists and mathematicians have tried to solve since the beginning of this century. A general model for an ellipsoidal particle was first published by Jeffery in the twenties. We exploit the fact that Jeffery was concerned with formulae which can be used to compute numerically the velocity field in the neighborhood of the particle during his derivation of equations of motion of the particle. This is our principal contribution to the subject. After a thorough check of Jeffery’s formulae, we coded software for modeling the flow around a rigid particle based on these equations. Examples of its applications are given in conclusion. A practical example is concerned with the simulation of sigmoidal inclusion trails in porphyroblast.},
author = {Ježek, Josef, Saic, Stanislav, Segeth, Karel},
journal = {Applications of Mathematics},
keywords = {numerical modeling; rigid particle; viscous flow; equations of motion; elliptic integrals; elliptic integrals},
language = {eng},
number = {6},
pages = {469-479},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Numerical modeling of the movement of a rigid particle in viscous fluid},
url = {http://eudml.org/doc/33043},
volume = {44},
year = {1999},
}

TY - JOUR
AU - Ježek, Josef
AU - Saic, Stanislav
AU - Segeth, Karel
TI - Numerical modeling of the movement of a rigid particle in viscous fluid
JO - Applications of Mathematics
PY - 1999
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 44
IS - 6
SP - 469
EP - 479
AB - Modeling the movement of a rigid particle in viscous fluid is a problem physicists and mathematicians have tried to solve since the beginning of this century. A general model for an ellipsoidal particle was first published by Jeffery in the twenties. We exploit the fact that Jeffery was concerned with formulae which can be used to compute numerically the velocity field in the neighborhood of the particle during his derivation of equations of motion of the particle. This is our principal contribution to the subject. After a thorough check of Jeffery’s formulae, we coded software for modeling the flow around a rigid particle based on these equations. Examples of its applications are given in conclusion. A practical example is concerned with the simulation of sigmoidal inclusion trails in porphyroblast.
LA - eng
KW - numerical modeling; rigid particle; viscous flow; equations of motion; elliptic integrals; elliptic integrals
UR - http://eudml.org/doc/33043
ER -

References

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