1. What is a Hydraulic Hose Flow Rate Calculator?

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

Purpose: It helps engineers and technicians determine fluid flow characteristics in hydraulic systems.

2. How Does the Calculator Work?

The calculator uses the Hagen-Poiseuille equation:

Where:

• \( Q \) — Volumetric flow rate (m³/s)
• \( r \) — Hose inner radius (m)
• \( \Delta P \) — Pressure difference (Pa)
• \( \mu \) — Dynamic viscosity (Pa·s)
• \( L \) — Length of hose (m)

Explanation: The equation describes laminar flow through a cylindrical pipe, where flow rate is proportional to the fourth power of the radius.

3. Importance of Flow Rate Calculation

Details: Accurate flow rate estimation ensures proper system design, adequate fluid delivery, and efficient operation of hydraulic machinery.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What types of flow does this equation apply to?
A: The Hagen-Poiseuille equation applies only to laminar (not turbulent) flow in long, straight pipes.

Q2: How does radius affect flow rate?
A: Flow rate is proportional to the fourth power of the radius - doubling the radius increases flow rate by 16 times.

Q3: What's a typical viscosity value for hydraulic oil?
A: Hydraulic oils typically range from 0.01 to 0.1 Pa·s depending on temperature and ISO grade.

Q4: How do I convert from diameter to radius?
A: Divide the diameter by 2 to get the radius. Ensure consistent units.

Q5: What if my flow is turbulent?
A: For turbulent flow, you would need to use the Darcy-Weisbach equation which includes a friction factor.