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Calculate Pressure Based on Flow Rate

Pressure Calculation Formulas:

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

GPM
ft²
lb/ft³
ft/s
psi

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1. What is Pressure Based on Flow Rate Calculator?

Definition: This calculator determines the pressure generated by fluid flow through a pipe or conduit based on flow rate, cross-sectional area, and fluid density.

Purpose: It helps engineers and technicians in fluid systems design to understand the relationship between flow characteristics and resulting pressure.

2. How Does the Calculator Work?

The calculator uses two formulas:

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

Where:

Explanation: First calculates velocity from flow rate and area, then uses the velocity to determine dynamic pressure.

3. Importance of Pressure Calculation

Details: Proper pressure estimation ensures system components can handle the fluid forces, helps in pump selection, and verifies system design parameters.

4. Using the Calculator

Tips: Enter the flow rate in GPM, cross-sectional area in square feet, and fluid density (default 62.4 lb/ft³ for water). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What does the 448.83 constant represent?
A: It's the conversion factor between GPM and ft³/s (1 GPM = 0.002228 ft³/s).

Q2: Why is the pressure divided by 144?
A: To convert from lb/ft² to psi (1 ft² = 144 in²).

Q3: What's a typical density for water?
A: Water at 60°F has a density of 62.4 lb/ft³, which is the default value.

Q4: Does this calculate static or dynamic pressure?
A: This calculates dynamic pressure based on flow velocity.

Q5: How accurate is this calculation for real systems?
A: This is a simplified calculation. Real systems should account for friction losses, elevation changes, and other factors.

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