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Calculate Flow Rate from Pressure Drop

Flow Rate Formulas:

\[ V = \sqrt{\frac{2 \times \Delta P \times 144}{\rho}} \] \[ Q = V \times A \times 448.83 \]

psi
lb/ft³
ft²
ft/s
GPM

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1. What is Flow Rate from Pressure Drop Calculator?

Definition: This calculator determines the fluid velocity and volumetric flow rate based on pressure drop, fluid density, and cross-sectional area.

Purpose: It helps engineers and technicians calculate flow rates in pipes and channels when pressure differential is known.

2. How Does the Calculator Work?

The calculator uses these formulas:

\[ V = \sqrt{\frac{2 \times \Delta P \times 144}{\rho}} \] \[ Q = V \times A \times 448.83 \]

Where:

Explanation: The first equation calculates velocity from pressure drop using Bernoulli's principle, and the second converts this to volumetric flow rate.

3. Importance of Flow Rate Calculation

Details: Accurate flow rate calculations are essential for proper system design, pump sizing, and ensuring adequate fluid delivery in piping systems.

4. Using the Calculator

Tips: Enter the pressure drop in psi, fluid density (default 62.4 lb/ft³ for water), and cross-sectional area. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What does the 144 factor represent?
A: It converts psi (lb/in²) to lb/ft² (1 ft² = 144 in²).

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

Q3: What's a typical density for water?
A: Pure water at 60°F is 62.4 lb/ft³. This varies with temperature and dissolved solids.

Q4: How do I find cross-sectional area?
A: For circular pipes: \( A = \pi \times (diameter/2)^2 \).

Q5: Does this account for friction losses?
A: No, this is for ideal flow. For real-world applications, consider additional factors like pipe roughness.

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