formula for Cross flow filtartion and non Newtonian fluid(blood)

[alifar]

Hi,

I am researching on cross flow filtration and the fluid is non Newtonian(Blood)and flow is pulstile too. I have a few questions:

1- For membrane, I am sure that Darcy's Eq. works but I am not sure about feeding line, with considering of pilsatile flow, Can I use Navier stokes formula for top of membrane(feed line)?

2- Which model works for blood? Casson model?

3- Can you introduce me a reference to cover my question or test?

In advance I appreciate for your consideration

Regards
Ali