> I read step-21 and 43 tutorials which are closer to my task.
> 
> I'd like to ask some guidelines on how to implement a water/oil with 
> polymer concentration in that model. We still have two phases, but in 
> the water phase there will be two components, aqueous and polymeric.
> 
> Is there any development in this direction?

Not that I know of. I assume that as far as the multiphase flow is 
concerned, both aqueous and polymeric behave the same, but within the 
water phase these two components may have different concentrations that 
affect the properties of the aqueous phase?

The way I would probably describe this is via another field that is 
interpreted as a volume or mass fraction *within the water phase* of the 
polymeric phase.

It would probably also be useful for you to take a look at the 
literature on the "black-oil equations". That's a 3-phase flow problem 
(oil, water, gas) but where some of the gas can be dissolved in the 
other phases. You might find interesting techniques for this problem 
that are also applicable to your problem.

Best
  W.

-- 
------------------------------------------------------------------------
Wolfgang Bangerth          email:                 bange...@colostate.edu
                            www: http://www.math.colostate.edu/~bangerth/

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