First slide

Viscous flow/Laminar flow

Question

A square plate of 0.1 m side moves parallel to a second plate with a velocity of 0.1 m/s, both plates being immersed in water. If the viscous force is 0.002 N and the coefficient of viscosity is 0.001 poise, distance between the plates in m is

Moderate

A

0.1
B

0.05
C

0.005
D

0.0005

Solution

$\begin{array}{l} A = (0 .1)^{2} = 0 .01 m^{2} \\ η = 0 .01 Poise = 0 .001 decapoise (M.K.S. unit), \end{array}$
$\begin{array}{l} dv = 0 .1 m / s \underline{\underline{and F}} = 0 .002 N \\ F = ηA \frac{dv}{dx} \\ ∴ dx = \frac{ηAdv}{F} = \frac{0 .001 \times 0 .01 \times 0 .1}{0 .002} = 0 .0005 m . \end{array}$

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