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Equation of continuity for incompressible, steady flow Let a₁, v₁ be area and mean velocity at section 1, and a₂, v₂ at section 2 of the same streamtube. Select the correct continuity relation.

Q: Equation of continuity for incompressible, steady flow Let a₁, v₁ be area and mean velocity at section 1, and a₂, v₂ at section 2 of the same streamtube. Select the correct continuity relation.

Concept/Approach For steady incompressible flow, volume flow rate is constant: Q = a v = constant. Hence a₁v₁ = a₂v₂. Final Answer a₁v₁ = a₂v₂

Difficulty: Easy

w₁a₁ = w₂a₂
w₁v₁ = w₂v₂
a₁v₁ = a₂v₂
a₁ / v₁ = a₂ / v₂

Correct Answer: a₁v₁ = a₂v₂

Explanation:

Concept/Approach

For steady incompressible flow, volume flow rate is constant: Q = a v = constant. Hence a₁v₁ = a₂v₂.

Final Answer
a₁v₁ = a₂v₂

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