Euler's equation of motion for inviscid flow: differential form
Select the correct differential relation along a streamline for steady, frictionless flow of a fluid of density ρ.
Difficulty: Medium
Correct Answer: dp/ρ + V dV + g dz = 0
Explanation:
Concept/Approach
Euler's equation (along a streamline, inviscid): the sum of differential pressure head, velocity head and elevation head changes is zero.
Statement dp/ρ + V dV + g dz = 0Integrating gives Bernoulli's relation: p/ρ + V²/2 + g z = constant.
Discussion & Comments