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Bernoulli’s Equation. Equation of Continuity. Δ L. A. 1. 2. (mass/time) 1 = (mass/time) 2. ( ρ V/t) 1 = ( ρ V/t) 2 . ( ρ A Δ L/t) 1 = ( ρ A Δ L/t) 2. ρ 1 A 1 v 1 = ρ 2 A 2 v 2. If the fluid is incompressible (constant ρ ). A 1 v 1 = A 2 v 2 =. V 1 /t = V 2 /t.
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Equation of Continuity ΔL A 1 2 (mass/time)1 = (mass/time)2 (ρV/t)1 = (ρV/t)2 (ρAΔL/t)1 = (ρAΔL/t)2 ρ1A1v1 = ρ2A2v2
If the fluid is incompressible (constant ρ) A1v1 = A2v2 = V1/t = V2/t (volume rate of flow) A1ΔL1 = A2ΔL2
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