Flow Calculator with Pressure

Flow Rate Formulas:

\[ V = \sqrt{\frac{2 \times (P_1 - P_2) \times 144}{\rho}} \] \[ Q = V \times A \times 448.83 \]

Inlet Pressure (P₁):

psi

Outlet Pressure (P₂):

psi

Fluid Density (ρ):

lb/ft³

Flow Area (A):

ft²

Velocity (V): ft/s

Flow Rate (Q): GPM

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1. What is a Flow Calculator with Pressure?

Definition: This calculator estimates fluid velocity and volumetric flow rate based on pressure difference, fluid density, and flow area.

Purpose: It helps engineers, plumbers, and technicians determine flow characteristics in pipes and conduits.

2. How Does the Calculator Work?

The calculator uses these formulas:

\[ V = \sqrt{\frac{2 \times (P_1 - P_2) \times 144}{\rho}} \] \[ Q = V \times A \times 448.83 \]

Where:

\( V \) — Velocity (feet per second)
\( P_1 \) — Inlet pressure (psi)
\( P_2 \) — Outlet pressure (psi)
\( \rho \) — Fluid density (pounds per cubic foot)
\( Q \) — Flow rate (gallons per minute)
\( A \) — Flow area (square feet)

Explanation: The pressure difference is converted to velocity, which is then used to calculate volumetric flow rate.

3. Importance of Flow Calculations

Details: Accurate flow calculations ensure proper system design, prevent pipe damage, and optimize fluid transport efficiency.

4. Using the Calculator

Tips: Enter pressure values (P₁ > P₂), fluid density (default 62.4 lb/ft³ for water), and flow area (default 0.0055 ft² for 1" pipe).

5. Frequently Asked Questions (FAQ)

Q1: Why is there a 144 in the formula?
A: This 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 density should I use for other fluids?
A: Use 49.2 lb/ft³ for gasoline, 78.6 lb/ft³ for seawater, or look up your specific fluid's density.

Q4: How do I find flow area for my pipe?
A: Area = π × (inner diameter/2)², with diameter in feet.

Q5: Does this account for friction losses?
A: No, this is ideal flow. For real-world applications, consider additional head loss calculations.