Continuity Equation for a Branched Pipe
An incompressible fluid flows through a pipe that splits into two branches with cross-sectional areas A₁ and A₂. If the fluid speeds in these branches are v₁ and v₂ respectively, which equation correctly represents the conservation of mass flow rate?
A
A₀/v₀ = A₁/v₁ + A₂/v₂
B
A₀v₀ = A₁v₁ - A₂v₂
C
A₀v₀² = A₁v₁² + A₂v₂²
D
A₀v₀ = A₁v₁ + A₂v₂
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