CFD Online Logo CFD Online URL
www.cfd-online.com
[Sponsors]
Home > Wiki > Stokes flow

Stokes flow

From CFD-Wiki

(Difference between revisions)
Jump to: navigation, search
(There is no minus in the equation and the dynamic viscosity \mu is forgoten)
 
Line 12: Line 12:
:<math>
:<math>
-
\Delta u_i = - \frac{\partial p}{\partial x_i}
+
\Delta u_i = \frac{1}{\mu} \frac{\partial p}{\partial x_i}
</math>
</math>

Latest revision as of 08:30, 20 August 2013

Stokes flow is the flow of a highly viscous fluid. Since a high viscosity coefficient implies a low Reynolds number, Stokes flow is also refered to as low Reynolds number flow or creeping flow.

Contents

Governing equations

  • Continuity equation

\frac{\partial u_j}{\partial x_j} = 0
  • Momentum equation

\Delta u_i = \frac{1}{\mu} \frac{\partial p}{\partial x_i}

Domain of validity

Stokes paradox

Correction due to Oseen

References

My wiki