Poiseuille's Equation Calculator

A Poiseuille’s Equation Calculator is a tool used to calculate the flow rate of a fluid through a cylindrical pipe under laminar flow conditions. It’s based on Poiseuille’s Law, which describes how fluid flows in response to pressure differences and the physical characteristics of the pipe.

What is Poiseuille’s Equation?
Poiseuille’s Equation calculates the volumetric flow rate (Q) of a viscous, incompressible fluid flowing through a cylindrical tube:

Where:

• Q = Volumetric flow rate (m³/s or L/s)
• r = Radius of the pipe (m)
• ΔP = Pressure difference between two ends of the pipe (Pa)
• η = Dynamic viscosity of the fluid (Pa·s)
• L = Length of the pipe (m)

Why use a Poiseuille’s Equation Calculator?

• Saves Time: Quickly determines flow rate without longhand calculations.
• Reduces Errors: Ensures accuracy when working with multiple variables.
• Real-World Applications: Used in fluid mechanics, medical devices (like IVs and catheters), and engineering systems.
• Optimizes System Design: Helps size pipes and select appropriate materials for efficient fluid transport.

How does a Poiseuille’s Equation Calculator work?

• Input:
  • Radius of the pipe
  • Pressure difference between the pipe’s ends
  • Viscosity of the fluid
  • Length of the pipe
• Calculation: Applies Poiseuille’s Law formula to determine flow rate.
• Output: Volumetric flow rate in m³/s or other chosen units.

When should you use a Poiseuille’s Equation Calculator?

• In fluid mechanics: Analyzing the behavior of liquids in narrow pipes.
• For medical devices: Designing and evaluating IVs, catheters, and blood flow analysis.
• In chemical engineering: Calculating the flow of viscous fluids in pipelines.
• In plumbing and HVAC: Ensuring proper pipe sizing and fluid transport efficiency.