Question 1.6: A fluid having viscosity 0.05 Pa s has been filled between t......

Fluid Mechanics and Hydraulic Machines [1093707]

A fluid having viscosity 0.05 Pa s has been filled between two plates for lubricating the movement. Distance between the plates is 5 mm. Compute the shear stress if the upper plate moves at a velocity of 2 m/s (Figure 1.7 and 1.8). Assume the velocity distribution as linear.

1.7

1.8

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Given,
Viscosity of fluid, μ = 0.05 Pa s

Distance between plates, $y=5 mm =5 \times 10^{-3}$ m

Velocity of upper plate, u = 2 m/s

From Newton’s law of viscosity,

$\begin{aligned} & t=\mu \frac{d u}{d y} \\ & \tau=0.05\left\lgroup\frac{2}{5 \times 10^{-3}} \right\rgroup =20 N / m ^2 \end{aligned}$

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