Bernoulli's equation for steady, incompressible, inviscid flow along a streamline is dfrac p rho g + dfrac V^2 2g + z = text constant . The term dfrac V^2 2g represents:

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Civil Engineering QUESTION #2125

Question 1

Bernoulli's equation for steady, incompressible, inviscid flow along a streamline is \(\dfrac{p}{\rho g} + \dfrac{V^2}{2g} + z = \text{constant}\). The term \(\dfrac{V^2}{2g}\) represents:

Pressure head
Velocity head (kinetic energy per unit weight of fluid)✔️
Elevation head
Total energy head

Correct Answer Explanation

In Bernoulli's equation, each term has units of length (head): \(\dfrac{p}{\rho g}\) = pressure head; \(\dfrac{V^2}{2g}\) = velocity head (kinetic energy per unit weight); \(z\) = elevation (potential energy per unit weight); total = piezometric + velocity head = total energy head. Velocity head represents kinetic energy — it converts to pressure head at stagnation points (Pitot tube principle).

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