Dynamic Viscosity Formula

Dynamic Viscosity Formula for a fluid defines its internal resistance to flow due to some shearing force. A tangential force which acts when one horizontal plane moves with another one. The viscosity acts an important fluid property while analyzing the liquid behaviour and fluid motion near solid boundaries.

The formula for Dynamic Viscosity

Dynamic viscosity formula


u = shear velocity (m/s)

y = distance between the layers

= shearing stress

μ = dynamic viscosity

The SI unit for Dynamic Viscosity = Unit of dynamic viscosity

Solved Example

Question: A fluid moves along length 0.75 m with velocity 2m/s and has shearing stress of 2 N/m22. Find its dynamic viscosity.


Given: Shear velocity u = 2m/s, length y = 0.75 m, shearing stress  = 2 

The shearing stress is given by,

Formula of dynamic viscosity

μ= 2 * 0.75/2

μ= 0.75 

Therefore, the dynamic viscosity = 0.75 



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