Pressure Calculator from Flow Rate

Pressure Calculation Formulas:

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

Velocity (V):

Pressure (P):

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1. What is a Pressure Calculator from Flow Rate?

Definition: This calculator estimates the pressure generated by fluid flow based on flow rate, cross-sectional area, and fluid density.

Purpose: It helps engineers and technicians determine the pressure in piping systems and fluid flow applications.

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:

\( P \) — Pressure (psi)
\( V \) — Velocity (ft/s)
\( \rho \) — Fluid density (lb/ft³)
\( Q \) — Flow rate (GPM)
\( A \) — Cross-sectional area (ft²)

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

3. Importance of Pressure Calculation

Details: Proper pressure estimation ensures system safety, proper component sizing, and efficient fluid system design.

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 is the 448.83 conversion factor?
A: It converts GPM and ft² to ft/s (1 GPM = 0.002228 ft³/s, so 1/0.002228 ≈ 448.83).

Q2: Why is density important in pressure calculation?
A: Heavier fluids (higher density) create more pressure at the same velocity than lighter fluids.

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 (pressure due to fluid motion).

Q5: How does pipe diameter affect the results?
A: Smaller diameters (smaller area) increase velocity and thus pressure at the same flow rate.