In turbulent flow past a flat surface, the velocity $u$ near the wall varies approximately logarithmically with distance $y$ from the wall and also depends upon viscosity $\mu,$ density $\rho,$ and wall shear stress $\tau_{w} .$ For a certain airflow at $20^{\circ} \mathrm{C}$ and 1 atm, $\tau_{w}=0.8 \mathrm{Pa}$ and $u=15 \mathrm{m} / \mathrm{s}$ at $y=3.6 \mathrm{mm} .$ Use this information to estimate the velocity $u$ at $y=6 \mathrm{mm}$