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Architecture Engineering QUESTION #2343
Question 1
Bernoulli's equation for steady incompressible flow expressed as energy per unit weight (head) along a streamline is:
  • \(\dfrac{p}{\rho} + \dfrac{V^2}{2} + gz = C\)
  • \(\dfrac{p}{\gamma} + \dfrac{V^2}{2g} + z = C\)(Correct)
  • \(p + \dfrac{1}{2}\rho V + \gamma z = C\)
  • \(\dfrac{p}{\gamma} + \dfrac{V}{2g} + z = C\)
Correct Answer Explanation
Bernoulli's equation in head form: \(\dfrac{p}{\gamma} + \dfrac{V^2}{2g} + z = C\), summing pressure head, velocity head, and elevation head. Option A is the energy-per-unit-mass form (divided by \(g\)). Option C has incorrect units. Option D incorrectly uses \(V\) instead of \(V^2\) in the velocity head term.