Is the total pressure coefficient always 1 in incompressible flow?

Question

I have to do some calculations to get the drag from an experiment with a wake rake. In the equation I have to enter the total pressure coefficient $C_{pt}$, but in my calculations it seems to always be equal to +1. Is this correct?

Answer 1

To get the drag from a wake survey, use the following formula from Fundamentals of Aerodynamics by John D. Anderson:

$D' = \int_{-h}^h\rho u\left(U_\infty - u\right)dy$

I'm assuming you know $U_\infty$ from a freestream Pitot tube. You can find $u$ from the wake rake using Bernoulli's equation. The equation above can be derived using a control volume of the entire test section.