The Continuity Equation (Varying Height and Pressure)
Continuity Equation Simulation
A₁v₁ = A₂v₂
Input (A₁)
Input (v₁)
Input (A₂)
Input (p₁) [Pa]
Pressure (p₂) [Pa]
Velocity (v₂)
Input (h₁)
Input (h₂)
.
.
.
This simulation demonstrates the continuity equation for an incompressible water flow (ρ = 1000 kg/m³). The highlighted slug conserves volume while the pipe narrows, and the pipe can now lift fluid from height h₁ to h₂ above a reference line z = 0. Length stretches as A decreases and speed increases to keep A×v constant.
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