Dissimilar heat transfer enhancement in spatially developing flow between parallel perforated plates by inducing a streamwise travelling-wave disturbance

Abstract

Travelling-wave-like wall blowing and suction is an effective approach for enhancing heat transfer with a minimal pressure drag penalty. However, achieving such a dissimilar heat transfer enhancement effect in a passive manner remains a challenge. In the present study, we propose introducing parallel perforated plates to induce travelling-wave-like disturbances passively. Pore-resolving simulations of a spatially developing laminar flow between parallel perforated plates are performed across a wide range of Reynolds numbers of $Re=500-1500$ and pore-to-solid length ratios of $L_{\mathrm{p}}/L_{\mathrm{s}}=0-10$. Dissimilar heat transfer enhancement is confirmed for $9\le L_{\mathrm{p}}/L_{\mathrm{s}}\le 10$ at $Re=1000$ and $4\le L_{\mathrm{p}}/L_{\mathrm{s}}\le 7$ at $Re=1500$. The highest analogy factor, i.e., the ratio of the Stanton number to the friction coefficient is obtained at $Re=1500$ and $L_{\mathrm{p}}/L_{\mathrm{s}}=6$, yielding an increase of more than $30$\% compared to that of an impermeable solid plate. Analysis of the fluctuating fields shows that, in the travelling-wave flow regime, a pressure-induced wall-normal velocity fluctuation transports temperature fluctuations away from the perforated plate, while breaking the correlation between the streamwise and wall-normal velocity fluctuations. This enhances the turbulent heat flux relative to the Reynolds shear stress near the perforated plate. The present results indicate that introducing a perforated plate with a suitable porosity induces travelling-wave velocity disturbances and also achieves a considerable dissimilar heat transfer effect even at low Reynolds numbers where a standard impermeable flat wall yields a steady laminar flow.