what is units for coefficient of dynamic viscosity?

in dimensional formula

Your Answer

As per Newton’s law of Viscosity:
τ = μ * (du/dy)
where, τ is the shear force ( Newton per meter^2 i.e. N/m^2 ) ; du/dy is the velocity gradient ( u is the velocity (m/s) and y is the thickness of the fluid layer (m) which gives the unit of velcity gradient as per second i.e. /s ) and μ is the coefficient of Viscosity.
∴ μ = τ / (du/dy) i.e. N/ (m^2/s)
Thus, the S.I. units of coefficient of viscosity are: N.s/m^2

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