Creeping current

Creeping currents (also called Stokes currents ) are characterized by the fact that the frictional forces in them are much greater than the inertial forces . So there are small Reynolds numbers . Examples are highly viscous fluids in a plain bearing or in extruders .

The Navier-Stokes equations can be simplified for creeping currents . In the usual case for incompressible Newtonian fluids this leads to a linear system of form

${\displaystyle {\begin{aligned}\mu \Delta {\vec {v}}&=\nabla p-{\vec {f}},\\\nabla \cdot {\vec {v}}&=0,\end{aligned}}}$

where the velocity field , the (static) pressure , the force vector , the dynamic viscosity and / or the Laplace or Nabla operator denote. ${\displaystyle {\vec {v}}}$ ${\displaystyle p}$ ${\displaystyle {\vec {f}}}$ ${\displaystyle \mu }$ ${\displaystyle \Delta }$ ${\displaystyle \nabla }$

See also

• Navier-Stokes equations
• Pitch drop experiment

Individual evidence

1. ↑ George K. Batchelor: Introduction to Fluid Mechanics . Cambridge University Press, Cambridge 2012, doi : 10.1017 / CBO9780511800955 .