Recent studies have demonstrated that large secondary motions are excited by surface roughness with dominant spanwise length scales of the order flow's outer scale. Inspired this, we explore effect heterogeneous temperature in weakly to strongly stratified closed channel flow (at $Ri_\tau =120$ , 960; $Re_\tau = 180$ 550) direct numerical simulations. The configuration consists equally sized st...

Abstract: This study is carried out to describe the behaviour of vehicles flow on the road, in the presence of blocking effects. A non-linear three dimensional system of ordinary differential equations is used to describe vehicles flow on the road. The study classify total vehicles population on the road into three compartments as Free – Slow – Released vehicles. The formulated model is well-po...

We present a variant of the stable flow problem. Instead of the traditional flow problem that obeys Kirchhoff’s law, for each vertex, the outflow is monotone and piecewise linear to the inflow. In a directed and capacitated network, each vertex has strict preference over their incident edges. A stable flow assignment does not allow a group of vertices to benefit from privately rerouting along a...