Time-averaged velocity and scalar fields of the flow surrounding a group of cylinders

Abstract

We examine the characteristics of mean flow and scalar concentration characteristics of a turbulent boundary layer flow impinging on a cluster of tall obstacles (which can also be interpreted as a porous obstruction). The cluster is created with a group of cylinders of diameter $d$ and height $h$ arranged in a circular patch of diameter $D$.The solidity of the patch/obstruction is defined by $\varphi$ (the total planar area covered by cylinders), which is systematically varied ($0.098\le \varphi \le 1$) by increasing the number of cylinders in a patch ($N_c$). A point source is placed at ground level upstream of the patch and its transport around the patch is examined. Time-averaged velocity and scalar fields, obtained from simultaneous planar PIV-PLIF (particle image velocimetry-planar laser-induced fluorescence) measurements, reveal that the characteristics of wake and flow above porous patches are heavily influenced by $\varphi$. In particular, we observe that the horizontal and vertical extent of the wake and scalar concentration downstream of the patches decreases and increases with $\varphi$, respectively. Here, the recirculation bubble is shifted closer to the trailing edge of the patches as $\varphi$ increases, limiting the flow from convecting downstream, decreasing the scalar concentration and virtually `extending' the patch in streamwise direction. As the bubble forms in the trailing edge, vertical bleeding increases and hence the concentration increases above patch where the cylinders appear to be `extend' vertically towards the freestream.

Under review for publication in Flow