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Mechanical Engineering QUESTION #2401
Question 1
The continuity equation for steady, incompressible flow through a conduit states:
  • \(A_1 V_1 + A_2 V_2 = \text{const}\)
  • \(A_1 V_1 = A_2 V_2 = Q = \text{const}\)✔️
  • \(\rho_1 V_1 = \rho_2 V_2\)
  • \(A_1 / V_1 = A_2 / V_2\)
Correct Answer Explanation
For steady incompressible flow, the continuity equation from conservation of mass: \(Q=A_1V_1=A_2V_2=\text{const}\) where \(Q\) is volumetric flow rate (m³/s).