The refined enumeration of alternating sign matrices (ASMs) of given order having prescribed behavior near one or more of their boundary edges has been the subject of extensive study, starting with the Refined Alternating Sign Matrix Conjecture of Mills-Robbins-Rumsey [25], its proof by Zeilberger [31], and more recent work on doublyrefined and triply-refined enumeration by several authors. In ...

It is easier to find a tilted bar among vertical bars than vice-versa, but this asymmetry can be abolished or reversed by surrounding the bars with a tilted frame. The frame effect is important because it challenges bottom-up models of saliency. We conducted two experiments to investigate the causes of this effect. In Experiment 1, we removed different components of a square frame, and conclude...

A new bottom-up approach for fabricating the optical metamaterial is reported. An array of metal nanoparticle clusters can provide both electric and magnetic activity in the optical frequency region through the excitation of the collective plasmon resonance. A two-dimensional square array of gold nanoparticle clusters (nanoclusters) was fabricated by using the template-directed colloidal self-a...

This study investigates the effect of lid motion on the optimal characteristics a thin rectangular fin attached on the hot wall of a square lid-driven cavity with active vertical walls. The optimal fin position is studied for Richardson numbers of 0.1-10. The effect of mounting a rectangular fin with a thermal conductivity of 1 and 1000 on minimization and maximization of heat transfer through ...

this paper presents results of a numerical study of mixed convection and entropy generation of cu–water nanofluid in a square ventilating cavity at different inclination angles. except a piece of bottom wall with a uniform heat flux, all of the cavity walls are insulated. the inlet port is placed at the bottom of the left wall and the outlet port is positioned at the top of the right wall. entr...

In this paper we study the particle transport and deposition in a turbulent square duct flow with an imposed magnetic field using Direct Numerical Simulations (DNS) of the continuous flow. A magnetic field induces a current and the interaction of this current with the magnetic field generates a Lorentz force which brakes the flow and modifies the flow structure. A second-order accurate finite v...

A numerical simulation is conducted to study the laminar flow past a square cylinder confined in a channel (the ratio of side length of the square to channel width is fixed at 1/4) subjected to a locally uniform blowing/suction speed placed at the top and bottom channel walls. Governing equations with boundary conditions are resolved using a finite volume method in pressure-velocity formulation...