Non-Newtonian channel flow (power law)

The following examples concern channel flows for non-Newtonian fluids in which case the viscosity is controlled by power law type models. One main difference with respect to the Newtonian cases are the different velocity profiles which significantly differ from the typical parabolic profiles. Additionally, due to the coupling with the velocity in the diffusive terms, the local Reynolds may vary much stronger! A typical profile for a pure channel calculation is demonstrated in the following figure which has to be compared with the shown parabolic profile!

The complexity of the problem depends on the:

• inflow speed
• viscosity
• size and shape of the channel and interior obstacles
• type and parameters of the power law model used

A systematic variation of these different configurations is part of the following flow situations.

• Non-Newtonian channel flow for a low Reynolds number (power law)
• Non-Newtonian channel flow around a circle for a medium Reynolds number (power law)