Viscosity Calculator Formula

Understand the math behind the viscosity calculator. Each variable explained with a worked example.

Formulas Used

Kinematic Viscosity

kinematic = dynamic_visc / density

Kinematic Viscosity (cSt)

centistokes = dynamic_visc / density * 1e6

Variables

VariableDescriptionDefault
dynamic_viscDynamic Viscosity (mu)(Pa-s)0.001
densityFluid Density (rho)(kg/m^3)1000

How It Works

Viscosity Conversion

Dynamic viscosity measures the shear resistance of a fluid. Kinematic viscosity is the ratio of dynamic viscosity to density.

Formula

nu = mu / rho

where mu is dynamic viscosity (Pa-s), rho is density (kg/m^3), and nu is kinematic viscosity (m^2/s). Kinematic viscosity is what appears in the Reynolds number formula.

Worked Example

Water at 20 deg C: mu = 0.001 Pa-s, rho = 998 kg/m^3.

dynamic_visc = 0.001density = 1000
  1. 01nu = 0.001 / 1000 = 1.0 x 10^-6 m^2/s
  2. 02In centistokes: 1.0 x 10^-6 x 10^6 = 1.0 cSt

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