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Convert Flow to Pressure

Pressure Calculation Formulas:

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

GPM
ft²
lb/ft³

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1. What is Flow to Pressure Conversion?

Definition: This calculator converts flow rate (in gallons per minute) to pressure (in pounds per square inch) using fluid dynamics principles.

Purpose: It helps engineers and technicians determine the pressure generated by fluid flow in pipes and hydraulic systems.

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 converts flow rate to velocity, then calculates dynamic pressure based on velocity and fluid density.

3. Importance of Flow-Pressure Conversion

Details: Proper pressure calculation ensures system safety, proper component selection, and efficient operation of hydraulic systems.

4. Using the Calculator

Tips: Enter 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's the 448.83 conversion factor?
A: This converts GPM to ft³/s and accounts for the area unit (1 GPM = 0.002228 ft³/s, inverse is ~448.83).

Q2: Why is density important?
A: Heavier fluids generate more pressure at the same velocity. Water is 62.4 lb/ft³, oils are typically 55-58 lb/ft³.

Q3: Does this account for friction losses?
A: No, this calculates dynamic pressure only. System pressure would include static head and friction losses.

Q4: What's a typical pipe velocity?
A: For water, 4-8 ft/s is common. Higher velocities increase pressure but also friction losses.

Q5: How do I find cross-sectional area?
A: For circular pipes: \( A = \pi \times (diameter/2)^2 \), with diameter in feet.

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