Correct Answer - Option 1 : Numerator represents property of the fluid to maintain its momentum.
Explanation:
The viscosity of a fluid is a measure of its resistance to deformation at a given rate. For liquids, it corresponds to the informal concept of "thickness": for example, syrup has a higher viscosity than water.
Kinematic viscosity:
Kinematic viscosity is defined as the ratio of dynamic viscosity and density of the fluid.
\(kinematic~ viscosity= \frac {dynamic ~ viscocity}{density ~of ~fluid}\)
\(ν = \frac {μ}{ρ }\)
In the Numerator, Dynamic Viscosity is there. So, let's talk about it.
Dynamic Viscosity (µ):
-
Viscosity can be defined as the measure of a fluid's resistance to deformation at a given flow.
- For instance, when a viscous fluid is forced through a tube, it flows more quickly near the tube's axis than near its walls.
- In such a case, experiments show that some stress (such as a pressure difference between the two ends of the tube) is
needed to sustain the flow through the tube.
- This is because a force is required to overcome the friction between the layers of the fluid which are in relative motion.
- So for a tube with a constant rate of flow, the strength of the compensating force is proportional to the fluid's viscosity.
∴ It represents the property of the fluid to maintain its momentum.
So, Option(1) is the Correct answer.
