What is the Bernoulli Equation?

[PhysicsGnome]

Homework Statement

I recently was given an interesting problem I thought I'd share with the community here. It's a fun exercise in mathematics. Given the equation:

Po/P = [1+((k-1)/2)*Ma^2]^(k/(k-1))

From this stagnation ratio, derive the Bernoulli Equation:

Po = P + 1/2 * rho * V^2

Anyway, it's not for homework, so no real need to solve it. Hope you enjoy deriving equations as much as I do. Have fun!

 

[ApexOfDE]

what are k, M, a?

 

[PhysicsGnome]

k in this case is 1.4 (for air)

Ma is the mach number.