Understanding Dynamic Viscosity Units

Dynamic viscosity, also known as absolute viscosity, measures a fluid's internal resistance to flow when subjected to an external shear stress. In engineering, two primary units are frequently encountered: the Poise (P) and the Pascal-second (Pa·s).

The Poise (P) is a CGS (centimeter-gram-second) unit named after Jean Léonard Marie Poiseuille. While historically significant, it is often expressed in practice as centipoise (cP) because 1 P is relatively high for common fluids like water. The Pascal-second (Pa·s) is the SI (International System of Units) derived unit, defined as the viscosity of a fluid in which a stress of one pascal produces a velocity gradient of one meter per second per meter.

  • Poise (P): Commonly used in the petroleum and chemical industries, often in the form of cP. \(1 \text{ P} = 0.1 \text{ Pa} \cdot \text{s}\).
  • Pascal-second (Pa·s): The standard unit in modern engineering calculations and fluid dynamics modeling. \(1 \text{ Pa} \cdot \text{s} = 10 \text{ P}\).