Prove that for a fluid with a constant density flowing at a steady state through a straight pipe with an entry diameter of D 1 and an exit diameter of D 2 where D 1 D 2 , the difference of the velocities, i e v 1 v 2 (velocity in velocity out), has a negative value Suppose that for the same system, the ratio of the velocities v 1 v 2 1 4, what is the relationship between D 1 and D 2

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Question: Prove that for a fluid with a constant density flowing at a steady-state through a straight pipe with an entry diameter of D 1 and

Prove that for a fluid with a constant density flowing at a steady-state through a straight pipe with an entry diameter of D₁ and an exit diameter of D₂ where D₁ > D₂, the difference of the velocities, i.e. v₁ v₂ (velocity in velocity out), has a negative value. Suppose that for the same system, the ratio of the velocities v₁/v₂ = 1/4, what is the relationship between D₁ and D₂?

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