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Mechanical Properties Of Fluids

Question
CBSEENPH11018446

Define coefficient of viscosity. What are its units and dimensions?

Solution
The viscous force acting between the two layers of fluid having relative velocity is given by,

                     F=-ηAdvdxIf A = 1 unit , dvdx=1 unit,then,             η=F 

Coefficient of viscosity of liquid is numerically equal to viscous force per unit area, which maintains a unit velocity gradient between two parallel layers.

SI unit of viscosity is deca-poise and CGS unit of viscosity is poise.

Dimensional formula of viscosity is [M1L–1T–1].