If the velocity gradient of a fluid is 24000 sec^-1, force required to move a fluid between plate is 3 N/m², what will be the fluid viscosity between the plates?

Concept:

The viscosity of a fluid can be calculated using Newton's law of viscosity:

\(\tau = \mu \frac{du}{dy}\)

Calculation:

Given:

• Velocity gradient, $\frac{du}{dy} = 24000 \, \text{sec}^{-1}$
• Shear stress, $\tau = 3 \, \text{N/m}^2$

The viscosity is given by:

\(\mu = \frac{\tau}{\frac{du}{dy}}\)

Substitute the given values:

\(\mu = \frac{3}{24000} = 1.25 \times 10^{-4} \, \text{N} \cdot \text{s/m}^2\)

The fluid viscosity between the plates is 1.25× $1.25 \times 10^{-4} \, \text{N} \cdot \text{s/m}^2$