Blood Flow Rate Calculator

Blood Flow Rate Calculator calculator can be used to calculate the blood flow rate in a vessel based on vessel radius, pressure difference, and vessel length using the Hagen-Poiseuille equation.

Input Parameters

Calculation Results

Calculation Formula

Q = (π * η * r⁴) / (8 * L * ΔP)

Where:
Q = Flow Rate (m³/s)
η = Viscosity of blood (Pa·s)
r = Vessel radius (m)
L = Vessel length (m)
ΔP = Pressure difference (Pa)

Result

Blood Flow Rate Calculator Calculator Usage Guide

Learn how to use the Blood Flow Rate Calculator calculator and its working principles

How to Use the Calculator

  1. Enter the radius of the blood vessel in meters.
  2. Enter the pressure difference across the vessel in Pascals.
  3. Enter the length of the vessel in meters.
  4. Click the "Calculate" button to compute the blood flow rate.
  5. The result will be displayed in cubic meters per second.

Working Principle

The Blood Flow Rate Calculator uses the Hagen-Poiseuille equation to calculate the flow rate of blood through a vessel. The equation is given by:

Q = (π * η * r⁴) / (8 * L * ΔP)

Where:

  • Q is the flow rate.
  • η is the viscosity of blood.
  • r is the radius of the vessel.
  • L is the length of the vessel.
  • ΔP is the pressure difference across the vessel.

This equation assumes laminar flow in a cylindrical pipe, which is a reasonable approximation for blood flow in small vessels.