Abstract
Abstract
Highlights
Manipulating colloidal particles suspended in viscous media is a challenging task and is of paramount importance in various fields of engineering and natural sciences
Taking into account the fluid-mediated hydrodynamic interactions between particles moving through a liquid is essential to predict the behaviour of colloidal suspensions and polymer solutions (Probstein 2005; Mewis & Wagner 2012)
Fluid flows are governed by low-Reynolds-number hydrodynamics, where viscous effects dominate over inertial effects (Kim & Karrila 2013)
Summary
Manipulating colloidal particles suspended in viscous media is a challenging task and is of paramount importance in various fields of engineering and natural sciences. It was noted that the effect of the second wall becomes important when the distance separating the particle from the closest wall is larger than approximately one-tenth of the channel width (Brenner 1999) Using this solution, Liron (1978) further investigated the fluid transport problem of cilia between two parallel plates. Jones (2004) made use of a two-dimensional Fourier-transform technique to obtain an analytic expression of the Green tensor for the Stokes equations with an incident Poiseuille flow He provided the elements of the resistance and mobility tensors in this slit-like geometry. Brotto et al (2013) described theoretically the dynamics of self-propelling active particles in rigidly confined thin liquid films They demonstrated that, due to hydrodynamic friction with the nearby rigid walls, confined microswimmers reorient themselves in response to flow gradients and can show reorientation in uniform flows. In appendix A, we detail the analytical derivation of the kernel functions arising in the resulting integral equations
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
