Air flows out of a clean room test chamber through a \(150-\mathrm{mm}-\) diameter duct of length \(L\). The original duct had a square-edged entrance, but this has been replaced with a well-rounded one. The pressure in the chamber is \(2.5 \mathrm{~mm}\) of water above ambient. Losses from friction are negligible compared with the entrance and exit losses. Estimate the increase in volume flow rate that results from the change in entrance contour.