Why does height appear in Navier-Stokes equation solution?

[yecko]

Homework Statement

[/B]

Homework Equations

Navier strokes theorem

The Attempt at a Solution

May I ask why would there suddenly a "h" in the highlighted part?
"h" wasnt existed in the previous steps, which C2=0 shouldn't add height of the liquid as a constant in the formula...
thanks

 

[NascentOxygen]

The oversight occurs earlier, where it should say:

So that the constant in Eqn (2) is
$C_1\ =\ \dfrac{\rho g}\mu h\sin α$

 

[jedishrfu]

That's following the $U$ being potential energy and so extending the $U = mgh$ to factor in the $sin (\alpha)$ right?

 

[NascentOxygen]

I followed the maths until I saw where the author had forgotten to transcribe an h[/color].