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Converting Pressure to Flow

Flow Rate Formulas:

\[ V = \sqrt{\frac{2 \times (P_1 - P_2) \times 144}{\rho}} \] \[ Q = V \times A \times 448.83 \]

psi
psi
lb/ft³
ft²
ft/s
GPM

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1. What is Pressure to Flow Conversion?

Definition: This calculator converts pressure differential to fluid flow rate using Bernoulli's principle.

Purpose: It helps engineers and technicians determine flow rates in pipes and channels based on pressure measurements.

2. How Does the Calculator Work?

The calculator uses these formulas:

\[ V = \sqrt{\frac{2 \times (P_1 - P_2) \times 144}{\rho}} \] \[ Q = V \times A \times 448.83 \]

Where:

Explanation: The pressure difference is converted to velocity, which is then multiplied by area to get volumetric flow rate.

3. Importance of Pressure-Flow Conversion

Details: Accurate flow rate calculations are essential for system design, pump sizing, and process control in fluid systems.

4. Using the Calculator

Tips: Enter pressure values (P₁ > P₂), fluid density (default 62.4 lb/ft³ for water), and cross-sectional area. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: Why is there a 144 in the formula?
A: This converts psi to lb/ft² (1 psi = 144 lb/ft²) for consistent units.

Q2: What's the 448.83 conversion factor?
A: This converts ft³/s to gallons per minute (1 ft³/s = 448.83 GPM).

Q3: When is this calculation valid?
A: For incompressible fluids in steady, frictionless flow with no elevation changes.

Q4: How do I find cross-sectional area?
A: For circular pipes, A = π × (diameter/2)². Convert diameter to feet.

Q5: What if my fluid isn't water?
A: Use the correct density for your fluid (e.g., 49.2 lb/ft³ for gasoline).

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