Water is flowing in a pipe of diameter (20 mathrm{~cm}) with a pressure gradient of (3000 mathrm{~Pa}

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Water is flowing in a pipe of diameter \(20 \mathrm{~cm}\) with a pressure gradient of \(3000 \mathrm{~Pa} / \mathrm{m} . \mu=\) \(0.001 \mathrm{~Pa} \cdot \mathrm{s}\).

Find the wall shear stress.

Find the friction velocity.

Find the thickness of the laminar sublayer.

Find the velocity at dimensionless radii of 0.6 and 0.8 . Find the value of \(R^{+}\), which is defined as the value of \(y^{+}\)at the pipe center.

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