Basic Model of Blood Flow in Arteries

🎯 Objective

To visualize, simulate, and analyze blood flow dynamics in human arteries using a simplified mathematical model. This experiment aims to study the effect of arterial radius, blood pressure, viscosity, and vessel length on blood flow rate and velocity.

📖 Introduction

The human circulatory system plays a vital role in transporting oxygen, nutrients, hormones, and waste products throughout the body. The heart acts as a pump that drives blood through a complex network of arteries, veins, and capillaries.

🧪 Theory: Poiseuille’s Law

In small and medium-sized arteries, blood flow can be approximated as laminar flow. Under such conditions, the flow rate is described by:

Q = ΔPπr⁴ / 8ηL

  • Q: Volume flow rate
  • r: Radius of the artery
  • ΔP: Pressure Gradient
  • η: Dynamic viscosity
  • L: Length of the artery

🛠️ Procedure

  1. Click the body anatomy to start.
  2. Use the Sidebar Controls to change conditions (Normal to Blocked).
  3. Adjust Radius and Pressure sliders.
  4. Observe how blood cells flow through the artery.