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Mechanical Engineering QUESTION #2399
Question 1
The Bernoulli equation for steady, incompressible, inviscid flow along a streamline between points 1 and 2 is:
  • \(\frac{p_1}{\gamma}+\frac{V_1^2}{2g}+z_1 = \frac{p_2}{\gamma}+\frac{V_2^2}{2g}+z_2\)✔️
  • \(p_1+\rho V_1+\gamma z_1 = p_2+\rho V_2+\gamma z_2\)
  • \(\frac{p_1}{\gamma}+V_1^2+gz_1 = \frac{p_2}{\gamma}+V_2^2+gz_2\)
  • \(p_1+\rho V_1^2+z_1 = p_2+\rho V_2^2+z_2\)
Correct Answer Explanation
Bernoulli equation: \(\frac{p}{\gamma}+\frac{V^2}{2g}+z=H=\text{const}\) where \(p/\gamma\) is pressure head, \(V^2/(2g)\) is velocity head, \(z\) is elevation head. Valid for steady, inviscid, incompressible flow.