Dynamics and Rheology of Suspensions
Mathematics
Dynamics of micro particles in fluids and the change in rheological parameters due to particle dynamics occur across many industries including many processes relevant to space programs. We developed solutions for some of the problems and the study will be continued. A set of ordinary differential equations governing the migration of an arbitrary forced spheroid in quiescent/ simple-shear/ uniform/ oscillating/ oscillating-shear flows at low Reynolds number is formulated and discussed, assuming a sufficiently diluted suspension to neglect the particle-particle interactions. We study the dependence of the size and shape of the attractor on the controlling parameters such as aspect-ratio, Reynolds-number, amplitude and frequency of the external force and initial orientations or positions of the suspension. We also discuss the fundamental physics of the problem. The dependencies of oscillations on the parameters can be utilized for better separation of particles or for characterizing the suspension. The results of our analysis can be used to validate complex software developed for suspension flow problems. Development of such a system would be of considerable technical and economical significance.
- Ref: C.V. Anilkumar & Jogender Singh, Oscillations of a periodically forced slightly eccentric spheroid in an unsteady viscous flow at low Reynolds numbers, Theoretical and Computational Fluid Dynamics volume 35, 1–15 (2021), https://doi.org/10.1007/s00162-020-00547-7
- Ref: C.V. Anilkumar & Jogender Singh, Periodically driven spheroid in a viscous fluid at low Reynolds numbers, AIP Advances 12, 025312 (2022),
https://doi.org/10.1063/5.0080258