The velocity of water at the surface is 10 m/s in a 5m deep river. Find the sheer stress between the horizontal layers of water. Take η = 0.01 poise.

Solution

The viscous force between the layers of water is given by,

straight F space equals space straight eta space straight A space dv over dx straight F over straight A space equals space straight eta space dv over dx space straight eta space equals space 0.01 space poise dv over dx space equals space 10 over 5 space equals space 2 space straight s to the power of negative 1 end exponent space therefore space straight F over straight A space equals space 0.01 space cross times space 2 space space space space space space space space space space space space space equals space 0.02 space dyne space divided by cm squared

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