Capillary-driven flows along rounded interior corners

Capillary Flow in Interior Corners: The Infinite Column

Construction of G2 rounded corners with Pythagorean-hodograph curves

The problem of designing smoothly rounded right–angle corners with Pythagorean–hodograph (PH) curves is addressed. AG corner can be uniquely specified as a single PH cubic segment, closely approximating a circular arc. Similarly, a G corner can be uniquely constructed with a single PH quintic segment having a unimodal curvature distribution. To obtain G corners incorporating shape freedoms that...

Andreev bound states in rounded corners of d-wave superconductors

Andreev bound states at boundaries of d-wave superconductors are strongly influenced by the boundary geometry itself. In this work, the zero-energy spectral weight of the local quasiparticle density of states is presented for the case of wedge-shaped boundaries with rounded corners. Generally, both orientation of the d-wave and the specific local reflection properties of the rounded wedges dete...

Steep capillary-gravity waves in oscillatory shear-driven flows

We study steep capillary-gravity waves that form at the interface between two stably stratified layers of immiscible liquids in a horizontally oscillating vessel. The oscillatory nature of the external forcing prevents the waves from overturning, and thus enables the development of steep waves at large forcing. They arise through a supercritical pitchfork bifurcation, characterized by the squar...

Rational design of capillary-driven flows for paper-based microfluidics.

The design of paper-based assays that integrate passive pumping requires a precise programming of the fluid transport, which has to be encoded in the geometrical shape of the substrate. This requirement becomes critical in multiple-step processes, where fluid handling must be accurate and reproducible for each operation. The present work theoretically investigates the capillary imbibition in pa...