Flow to Pressure Calculator

Flow to Pressure Formulas:

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

Velocity (V):

Pressure (P):

Definition: This calculator converts flow rate (GPM) to pressure (psi) using fluid dynamics principles.

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

The calculator uses these formulas:

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

Where:

Explanation: First calculates velocity from flow rate, then uses Bernoulli's principle to determine pressure.

Details: Essential for designing piping systems, selecting pumps, and ensuring proper system operation.

Tips: Enter flow rate in GPM, cross-sectional area in ft², and fluid density (default 62.4 lb/ft³ for water). All values must be > 0.

Q1: Why is the 448.83 factor used?
A: It converts GPM to ft³/s (1 GPM = 0.002228 ft³/s) and accounts for unit consistency.

Q2: What's a typical fluid density for water?
A: Fresh water at 60°F is 62.4 lb/ft³. Saltwater is about 64 lb/ft³.

Q3: Does this account for friction losses?
A: No, this calculates dynamic pressure only. For complete system analysis, include friction losses.

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

Q5: When would I need this calculation?
A: When designing sprinkler systems, hydraulic systems, or analyzing pump requirements.