The velocity distribution for laminar flow between parallel plates is given by [frac{u}{u_{max }}=1-left(frac{2 y}{h} ight)^{2}] where

The velocity distribution for laminar flow between parallel plates is given by

\[\frac{u}{u_{\max }}=1-\left(\frac{2 y}{h}\right)^{2}\]

where \(h\) is the distance separating the plates and the origin is placed midway between the plates. Consider a flow of water at \(15^{\circ} \mathrm{C}\), with \(u_{\max }=0.10 \mathrm{~m} / \mathrm{s}\) and \(h=0.1 \mathrm{~mm}\). Calculate the shear stress on the upper plate and give its direction. Sketch the variation of shear stress across the channel.