Numerical Simulation of the Dynamics of a Periodically Forced Spherical Particle in a Quiescent Newtonian Fluid at Low Reynolds Numbers
 Tumkur Ramaswamy Ramamohan,
 Inapura Siddagangaiah Shivakumara,
 Krishnamurthy Madhukar
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Abstract
In this paper we present the results of a numerical simulation of the dynamics of a periodically forced spherical particle in a quiescent Newtonian fluid at low Reynolds number. We describe the simulation and tests performed to validate our simulation. We have obtained results which are physically reasonable and hence we have confidence in our results. We include the effects of both convective and unsteady inertia on the dynamics at low Reynolds numbers. The inclusion of inertia results in additional linear and nonlinear terms in the equations representing a fading memory of the entire history of the motion. The nonlinearity though small in the parametric regime of interest, gives rise to some interesting features in the solution of the problem.
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 Title
 Numerical Simulation of the Dynamics of a Periodically Forced Spherical Particle in a Quiescent Newtonian Fluid at Low Reynolds Numbers
 Book Title
 Computational Science – ICCS 2009
 Book Subtitle
 9th International Conference Baton Rouge, LA, USA, May 2527, 2009 Proceedings, Part I
 Pages
 pp 591600
 Copyright
 2009
 DOI
 10.1007/9783642019708_58
 Print ISBN
 9783642019692
 Online ISBN
 9783642019708
 Series Title
 Lecture Notes in Computer Science
 Series Volume
 5544
 Series ISSN
 03029743
 Publisher
 Springer Berlin Heidelberg
 Copyright Holder
 SpringerVerlag Berlin Heidelberg
 Additional Links
 Topics
 Keywords

 Low Reynolds numbers
 quiescent fluid
 spherical particle
 periodic force
 Industry Sectors
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 Editors

 Gabrielle Allen ^{(16)}
 Jarosław Nabrzyski ^{(17)}
 Edward Seidel ^{(18)}
 Geert Dick van Albada ^{(19)}
 Jack Dongarra ^{(20)}
 Peter M. A. Sloot ^{(21)}
 Editor Affiliations

 16. Center for Computation & Technology, Louisiana State University
 17. Poznań Supercomputing and Networking Center
 18. Center for Computation and Technology, Louisiana State University
 19. Department of Mathematics and Computer Science, University of Amsterdam
 20. Computer Science Department, Knoxville, University of Tennessee
 21. Faculty of Sciences, Section of Computational Science, University of Amsterdam
 Authors

 Tumkur Ramaswamy Ramamohan ^{(22)}
 Inapura Siddagangaiah Shivakumara ^{(23)}
 Krishnamurthy Madhukar ^{(22)} ^{(23)}
 Author Affiliations

 22. Centre for Mathematical Modelling and Computer Simulation (CMMACS), Council of Scientific and Industrial Research, Wind Tunnel Road, Bangalore, 560 037, India
 23. UGCCentre for Advanced Studies in Fluid Mechanics, Department of Mathematics, Bangalore University, Bangalore, 560 001, India
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