Oscillatory interactions of two spheres in an unbounded couple stress fluid
摘要
This study investigates the rectilinear oscillations of two coaxially aligned spherical particles in an unbounded couple stress fluid at low Reynolds numbers, addressing a fundamental problem in microfluidics and biomechanics where microstructure effects dominate. The importance lies in applications such as drug delivery and material processing, where understanding particle-fluid interactions is critical. The unsteady Stokes equations were solved using a superposition of fundamental solutions in spherical coordinates, centered on each particle, with no-slip boundary conditions enforced via a collocation method. Key results include the quantification of in-phase and out-of-phase drag force coefficients, revealing that increasing the couple stress parameter (