# Channel Flow Fluids

1. Mar 1, 2017

### joshmccraney

Hi PF!

I was recently looking at two immiscible fluids in a 2-D Poiseuille Flow with two immiscible fluids of different densities. Let the total distance of the channel be $L+\epsilon L$, where the dividing line between the two flows is $L$. I was thinking of the possible flow profiles and finally decided to solve the problem. When I did, I noticed the maximums of the two fluids' velocities always occurred at the same height (keep in mind I'm talking mathematically, as $v_1 \in [0,L]$ and $v_2 \in [L,\epsilon L]$). The implication being the flow could never have two maximums.

Can someone explain why we cannot have two maximums?

2. Mar 2, 2017

### joshmccraney

Nevermind, I understand!