Affiliation:
1. Department of Mechanical Engineering, University of Maryland , College Park, Maryland 20742, USA
Abstract
In this Letter, we develop an analytical theory to study the transport of active liquids, which contain active and self-propelling particles (with vortex defects), inside a long and thin permeable capillary tube. This transport is triggered by a pressure gradient induced by an imposed gradient in the activity (or the particle concentration). Our results show a clear distinction in the radial and axial velocity profiles between the pressure-driven transport of active (with either extensile or contractile activity) and non-active liquids inside such permeable capillaries. We also identify the stream function characterizing the active liquid velocity field inside such permeable tubes.