Analysis

Before we solve this equation, let us do some simple tests.

  1. What happens to f when we increase v?
    Flow should increase and it does. OK.
  2. What happens to f when we decrease v?
    Flow should decrease and it does. OK.
Click on to demonstrate this.

But you will notice that the flow is also affected by the distance d.

Therefore d is also a variable
we thus have two variables v and d.
we need two equations.
we need relationship d with v

Our new model is this:

Maximise f where f=v/(l+d) and
d=v+v2/20