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About

In fluid dynamics and chemical engineering, viscosity is the measure of a fluid's resistance to deformation. However, confusingly, it comes in two distinct forms: Kinematic Viscosity (how a fluid flows under gravity) and Dynamic Viscosity (how a fluid resists force). Lab reports often provide Kinematic Viscosity in centistokes (cSt), while simulation software and pump sizing calculations require Dynamic Viscosity in centipoise (cP) or Pascal-seconds (Pa·s).

You cannot convert between these two without knowing the fluid's Density. This relationship is critical: a dense fluid like mercury has high dynamic viscosity but lower kinematic viscosity compared to lighter oils. This tool simplifies the conversion and manages the tricky order-of-magnitude errors associated with unit prefixes (like converting m2/s to cSt).

viscosity fluid dynamics centistokes centipoise chemical engineering density

Formulas

Dynamic viscosity is the product of kinematic viscosity and the fluid's density.

μ = ν × ρ

Where:

  • μ (Mu) = Dynamic Viscosity (e.g., Pa·s, cP)
  • ν (Nu) = Kinematic Viscosity (e.g., m²/s, cSt)
  • ρ (Rho) = Density (e.g., kg/m³)

Unit Consistency Check:
If ν is in cSt and ρ is in g/cm3 (Specific Gravity), then μ is directly in cP.

1 cSt × 1 g/cm3 = 1 cP

Reference Data

FluidTemp (°C)Density (kg/m³)Approx Viscosity (cP)
Water209981.002
Mercury20135461.526
Olive Oil2091584
Glycerine2012601412
Motor Oil SAE 102087065 - 100
Motor Oil SAE 4020890600 - 800
Honey20142010000
Ethanol207891.2
Acetone207840.32

Frequently Asked Questions

cP (centipoise) measures Dynamic Viscosity (internal friction), while cSt (centistokes) measures Kinematic Viscosity (resistance to flow under gravity). The primary difference between them is the influence of fluid density.
Because Kinematic viscosity is literally defined as Dynamic viscosity divided by density (ν = μ / ρ). Without knowing how heavy the fluid is (density), you cannot relate the two properties.
You must approximate it. For water-based fluids, assume 1 g/cm³. For oils, 0.8 to 0.9 g/cm³ is a safe range. Use the preset dropdown in this tool to find standard densities for common chemicals.
Yes. SAE grades (like 10W-40) are defined by their Kinematic Viscosity (cSt) at 100°C. However, cold-cranking simulators used to test "W" ratings measure Dynamic Viscosity (cP).