Dimensional formula of coefficient of viscosity

Coefficient of viscosity
[M L−1 T−1]
Written in full: [M¹ L⁻¹ T⁻¹ A⁰ K⁰]

How to derive it

Coefficient of viscosity = Force ÷ (Area × Velocity gradient), from F = ηA(dv/dx)

Put in the dimensions of each part: [MLT⁻²] ÷ ([L²] × [T⁻¹]) = [M L⁻¹ T⁻¹].

mass (M)
1
length (L)
-1
time (T)
-1
current (A)
0
temperature (K)
0

SI unit

The SI unit of coefficient of viscosity is Pa·s (poiseuille).

Same dimensions as coefficient of viscosity

None of the other quantities on this site share these exact dimensions.

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More from Fluids

QuantityFormula
Pressure[M L−1 T−2]
Density[M L−3]
Surface tension[M T−2]
Kinematic viscosity[L2 T−1]