<p>The manuscript discusses the dynamics and rheology of oscillating spheres which is forced due to ac electric force, in a dilute suspension at low Reynolds numbers. The mathematical model for this system is an integro differential equation which is nonlinear and coupled, solved using the Runge – Kutta fourth order method. The code is written in OCTAVE and validated by reproducing the known results. The work is motivated by the fact that the rheological parameters obtained in this work are easily experimentally verifiable. The suspensions are neutrally buoyant non interacting spheres which are translated and rotated due to AC force and the periodic force. The result is new as the work discusses the effect of ac electric force on the rheological behavior of ensembled sparse charged rigid spheres at low Reynolds numbers in a Newtonian fluid.</p>

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The Dynamics and Rheology of Electrically Forced Oscillating Spheres in a Dilute Suspension of Newtonian Fluid at Low Reynolds Numbers

  • K. Madhukar,
  • Kallur V. Vijayakumar,
  • A. S. Chethan

摘要

The manuscript discusses the dynamics and rheology of oscillating spheres which is forced due to ac electric force, in a dilute suspension at low Reynolds numbers. The mathematical model for this system is an integro differential equation which is nonlinear and coupled, solved using the Runge – Kutta fourth order method. The code is written in OCTAVE and validated by reproducing the known results. The work is motivated by the fact that the rheological parameters obtained in this work are easily experimentally verifiable. The suspensions are neutrally buoyant non interacting spheres which are translated and rotated due to AC force and the periodic force. The result is new as the work discusses the effect of ac electric force on the rheological behavior of ensembled sparse charged rigid spheres at low Reynolds numbers in a Newtonian fluid.