The velocity of water in a river is 18 km h - 1 near the surface. If the river is 5 m deep, find the shearing stress between the horizontal layers of water. The coefficient of viscosity of water = 10

Question

The velocity of water in a river is 18 km h - 1 near the surface. If the river is 5 m deep, find the shearing stress between the horizontal layers of water. The coefficient of viscosity of water = 10 - 2 poise .

TestHub · Accepted Answer

Viscous force = F v = - η A · d v d h = 10 - 3 × A × 18 × 1000 3600 × 5 , η = 10 - 2 poise η = 10 - 3 decapoise mks ∴ F v A = 1 8 5 × 3 6 0 0 = 1 2 0 0 × 5 ⇒ F v A = 1 0 - 3 N m - 2

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