Hose Flow Rate Calculator Based on 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

Cross-Sectional Area (A):

ft²

Velocity (V): ft/s

Flow Rate (Q): GPM

Definition: This calculator determines the flow rate through a hose or pipe based on the pressure difference and cross-sectional area.

Purpose: It helps engineers, plumbers, and technicians estimate fluid flow rates in various systems.

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:

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

Details: Accurate flow rate estimation ensures proper system design, adequate pressure maintenance, and efficient fluid transport.

Tips: Enter the inlet and outlet pressures, fluid density (default 62.4 lb/ft³ for water), and cross-sectional area. All values must be positive.

Q1: What's the 144 factor in the formula?
A: This converts psi to psf (pounds per square foot) since 1 psi = 144 psf.

Q2: Why 448.83 in the flow rate formula?
A: This converts cubic feet per second to gallons per minute (1 ft³/s = 448.83 GPM).

Q3: What's a typical cross-sectional area for hoses?
A: For a 1-inch diameter hose: A = π × (0.5/12)² ≈ 0.00545 ft²

Q4: Does this account for friction losses?
A: No, this is ideal flow. For real-world applications, consider additional friction factors.

Q5: Can I use this for gases?
A: Only for incompressible fluids. For gases, different formulas accounting for compressibility are needed.