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
Conference paper

DOI: 10.1007/978-3-642-01970-8_58

Volume 5544 of the book series Lecture Notes in Computer Science (LNCS)
Cite this paper as:
Ramamohan T.R., Shivakumara I.S., Madhukar K. (2009) Numerical Simulation of the Dynamics of a Periodically Forced Spherical Particle in a Quiescent Newtonian Fluid at Low Reynolds Numbers. In: Allen G., Nabrzyski J., Seidel E., van Albada G.D., Dongarra J., Sloot P.M.A. (eds) Computational Science – ICCS 2009. ICCS 2009. Lecture Notes in Computer Science, vol 5544. Springer, Berlin, Heidelberg

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.

Keywords

Low Reynolds numbers quiescent fluid spherical particle periodic force 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Tumkur Ramaswamy Ramamohan
    • 1
  • Inapura Siddagangaiah Shivakumara
    • 2
  • Krishnamurthy Madhukar
    • 1
    • 2
  1. 1.Centre for Mathematical Modelling and Computer Simulation (C-MMACS)Council of Scientific and Industrial ResearchBangaloreIndia
  2. 2.UGC-Centre for Advanced Studies in Fluid Mechanics, Department of MathematicsBangalore UniversityBangaloreIndia