By Kate Allaway

On Monday, November 26

^{th}, thousands of dairy farmers coordinating with the European Milk Board (EMB) came to Brussels, Belgium to protest low milk prices in the European Union. EU milk is often sold below the production price, forcing small farmers out of business. In their demonstrations, which are ongoing, protestors are spraying fresh milk out of large hoses onto policemen and the European Parliament building, preventing many EU employees from getting to work.
I wanted to determine the approximate volume
rate of flow out of these hoses. This is most easily accomplished using
Poiseuille’s equation (Q = (πR

^{4}ΔP)/(8ηL)).
I made the following assumptions about the
hose based on the pictures:

R=5 cm (0.05 m)

Δheight between ground and person holding the
hose=1.5 m

I found the following values for milk:

First I found the ΔP:

ΔP = ρgΔh = (1030 kg/m

^{3})(9.8m/s^{2})(1.5 m) = 15,000 Pa
Then plugged in to find Q:

Q = (πR

^{4}ΔP)/(8ηL) = (π(0.05 m)^{4}(15,000 Pa))/(8(0.003 Pas)(15 m ))**Q = 0.8 m**

^{3}/s
With that volume rate of flow and the number
of protestors spraying milk with hoses, it is clear why many EU employees are
struggling to get past the mayhem to their offices.

## No comments:

## Post a Comment

Note: Only a member of this blog may post a comment.