Venturi Effect Calculator
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The Venturi effect describes how fluid speed increases when flowing through a constricted section of a pipe, leading to a drop in pressure. The calculator above determines the flow velocity in the narrower section (v₂) based on the upstream and downstream pressures (P₁ and P₂), fluid density (ρ), and initial velocity (v₁).
Calculation Formula
The velocity in the narrow section is given by:
\[ v₂ = \sqrt{\frac{2(P₁ - P₂)}{ρ} + v₁²} \]
Example Calculation
For an upstream pressure of 150,000 Pascals, a downstream pressure of 100,000 Pascals, a fluid density of 1,000 kg/m³, and an initial velocity of 5 m/s:
\[ v₂ = \sqrt{\frac{2(150,000 - 100,000)}{1,000} + 5²} \approx 14.14 \text{ m/s} \]
This demonstrates how fluid accelerates through constrictions, a principle applied in various fields like aerodynamics and fluid mechanics.