Triangular surfaces are important because in areas where the geometry is not similar to rectangular domain, the rectangular surface patch will collapse into a triangular patch. In such a case, one boundary edge may collapse into a boundary vertex of the patch, giving rise to geometric dissimilarities (e.g. shape parameters, Gaussian curvature distribution, cross boundary continuities etc.) and ...

The electronic properties of heterojunction electron gases formed in GaN/AlGaN core/shell nanowires with hexagonal and triangular cross sections are studied theoretically. We show that at nanoscale dimensions, the nonpolar hexagonal system exhibits degenerate quasi-one-dimensional electron gases at the hexagon corners, which transition to a core-centered electron gas at lower doping. In contras...

We investigate the existence of a global attractor for a class of triangular cross diffusion systems in domains of any dimension. These systems includes the Shigesada-Kawasaki-Teramoto (SKT) model, which arises in population dynamics and has been studied in two dimensional domains. Our results apply to the (SKT) system when the dimension of the domain is at most 5.

Analytical solutions are presented for laminar fully developed flow in micro-/ minichannels of hyperelliptical and regular polygonal cross sections in the form of compact relationships. The considered geometries cover a wide range of common simply connected shapes including circle, ellipse, rectangle, rectangle-with-round-corners, rhombus, star-shape, equilateral triangle, square, pentagon, and...

In previous studies, we demonstrated the ability to linearly guide axonal regeneration using scaffolds comprised of precision microchannels 2 mm in length. In this work, we report our efforts to augment the manufacturing process to achieve clinically relevant scaffold dimensions in the centimeter-scale range. By selective etching of multi-component fiber bundles, agarose hydrogel scaffolds with...

In this study, a numerical approach was carried out to analyze the effects of different geometries microchannel heat sinks on forced convective transfer in single-phase flow. The simulations were performed using commercially available software COMSOLMultiphysics 5.6® (Burlington, MA, USA) and its results compared with those obtained from experimental tests polydimethylsiloxane (PDMS). Distilled...

In vitro scaling up of bioengineered tissues is known to be limited by diffusion issues, specifically a lack of vasculature. Here, we report a new strategy for preserving cell viability in three-dimensional tissues using cell sheet technology and a perfusion bioreactor having collagen-based microchannels. When triple-layer cardiac cell sheets are incubated within this bioreactor, endothelial ce...

In friction stir welding frictional heat is generated by the rotating tool, sliding over the stationary plate along the weld centre. Tool being the only source of heat producing member, its geometrical design influences the heat generation rate. In this present work, effects of variation in tool shoulder and tool pin taper angles on thermal history during joining are analysed. Tools with triang...