Hose Flow Rate Calculator

Flow Rate Formula:

\[ Q = \frac{\pi \times r^4 \times \Delta P}{8 \times \mu \times L} \]

Hose Radius (r):

Pressure Difference (ΔP):

Dynamic Viscosity (μ):

Pa·s

Hose Length (L):

Flow Rate (Q):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is a Hose Flow Rate Calculator?

Definition: This calculator determines the volumetric flow rate through a cylindrical hose using the Hagen-Poiseuille equation.

Purpose: It helps engineers, plumbers, and fluid system designers calculate flow rates in pipes and hoses for various applications.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Q = \frac{\pi \times r^4 \times \Delta P}{8 \times \mu \times L} \]

Where:

\( Q \) — Volumetric flow rate (m³/s)
\( r \) — Inner radius of the hose (m)
\( \Delta P \) — Pressure difference between ends (Pa)
\( \mu \) — Dynamic viscosity of fluid (Pa·s)
\( L \) — Length of the hose (m)

Explanation: The flow rate is directly proportional to the pressure difference and the fourth power of the radius, and inversely proportional to viscosity and length.

3. Importance of Flow Rate Calculation

Details: Accurate flow rate calculations ensure proper system design, adequate fluid delivery, and efficient operation of fluid systems.

4. Using the Calculator

Tips: Enter the hose radius in meters, pressure difference in Pascals, fluid viscosity (default 0.001 Pa·s for water at 20°C), and hose length in meters. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the Hagen-Poiseuille equation?
A: It describes laminar flow through a cylindrical pipe, valid for Newtonian fluids with constant viscosity.

Q2: What's a typical viscosity value for water?
A: Water at 20°C has a viscosity of about 0.001 Pa·s. This decreases with temperature.

Q3: How does radius affect flow rate?
A: Flow rate is proportional to the fourth power of radius - doubling the radius increases flow 16 times!

Q4: What are the limitations of this formula?
A: It only applies to laminar flow (Re < 2000), Newtonian fluids, and straight pipes with constant circular cross-section.

Q5: How do I convert to other units?
A: 1 m³/s = 1000 L/s = 15850 gpm (US gallons per minute). Use our unit converter for other conversions.