Nozzles Water Discharge Capacity

Overview

Engineering reference data for Nozzles Water Discharge Capacity in fluid mechanics.

Key Formulas

Reynolds Number

$Re = \frac{\rho v D}{\mu}$

Ratio of inertial to viscous forces — determines flow regime.

Bernoulli's Equation

$P + \frac{1}{2}\rho v^2 + \rho g h = \text{const}$

Conservation of energy for steady, inviscid, incompressible flow.

Continuity Equation

$A_1 v_1 = A_2 v_2$

Conservation of mass for incompressible flow.

Darcy-Weisbach

$\Delta P = f \frac{L}{D} \frac{\rho v^2}{2}$

Pressure drop due to friction in a pipe.

Variables

Symbol	Description	Unit
$Re$	Reynolds number	—
$\rho$	Fluid density	kg/m³
$v$	Flow velocity	m/s
$D$	Characteristic dimension	m
$\mu$	Dynamic viscosity	Pa·s
$P$	Pressure	Pa
$f$	Darcy friction factor	—

Unit Conversions

The following conversion factors are commonly used when working with nozzle water discharge calculations at a standard water temperature of 60°F (15.6°C).

Length Conversion

Imperial	Metric
1 inch (in)	25.4 mm

Pressure Conversions

Unit	Equivalent
1 psi (lbf/in²)	144 psf (lbf/ft²)
1 psi	6,894.8 Pa (N/m²)
1 psi	6.895 × 10⁻³ N/mm²
1 psi	6.895 × 10⁻² bar
1 psi	27.71 in H₂O at 61°F (16.7°C)
1 psi	703.1 mm H₂O at 61°F (16.7°C)
1 psi	2.0416 in mercury at 61°F (16.7°C)
1 psi	51.8 mm mercury at 61°F (16.7°C)
1 psi	703.6 kg/m²
1 psi	0.06895 atm
1 psi	2.307 ft H₂O

Flow Rate Conversions

Unit	Metric Equivalent
1 US gallon/minute (gpm)	6.30888 × 10⁻⁵ m³/s
1 gpm	0.227 m³/h

These conversions assume a standard water temperature of 60°F (15.6°C). Water density and viscosity vary with temperature, which may affect discharge calculations at significantly different temperatures.

References

• Original Source