Numerical Simulation of the Dynamics of a Periodically Forced Spherical Particle in a Quiescent Newtonian Fluid at Low Reynolds Numbers
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.
KeywordsLow Reynolds numbers quiescent fluid spherical particle periodic force
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- 1.Stokes, G.G.: On the effect of internal friction of fluid on the motion of pendulums. Trans. Camb. Phil. Soc. 9, 8–106 (1851)Google Scholar
- 5.Asokan, K., Kumar, C.V.A., Dasan, J., Radhakrishnan, K., Kumar, K.S., Ramamohan, T.R.: Review of chaos in the dynamics and rheology of suspensions of orientable particles in simple shear flow subject to an external periodic force. J. Non-Newtonian Fluid Mech. 129, 128–142 (2005)CrossRefGoogle Scholar
- 7.Press, W.H., Teukolsky, S.A., Vetterling, W.T., Flannery, B.P.: Numerical recipes in Fortran. In: The art of scientific computing, 2nd edn. Cambridge University Press, Cambridge (1992)Google Scholar