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.
Mechanical Engineering
Hydraulics and Fluid Mechanics
Difficulty: Easy
Choose an option
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Aw₁a₁ = w₂a₂
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Bw₁v₁ = w₂v₂
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Ca₁v₁ = a₂v₂
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Da₁ / v₁ = a₂ / v₂
Answer
Correct Answer: a₁v₁ = a₂v₂
Explanation
Concept/Approach
- For steady incompressible flow, volume flow rate is constant: Q = a v = constant. Hence a₁v₁ = a₂v₂.
Final Answera₁v₁ = a₂v₂