Fluid Mechanics in a Straight Tube in Biomechanics
Introduction
Fluid mechanics is a branch of physics that studies the behavior of fluids (liquids and gases)
and the forces acting on them. In biomechanics, fluid mechanics plays a crucial role in
understanding the flow of biological fluids such as blood, lymph, air (in lungs), and
synovial fluid. A fundamental model used to study this flow is the flow through a straight
cylindrical tube, which helps in analyzing blood vessels, airways, and catheter systems.
Key Concepts of Fluid Mechanics in a Tube
1. Laminar vs. Turbulent Flow
Laminar Flow:
o Smooth, orderly flow of fluid in parallel layers.
o Common in small blood vessels and under normal
physiological conditions.
Turbulent Flow:
o Irregular and chaotic.
o May occur in large arteries (like the aorta) during high velocity
or pathology.
Reynolds Number (Re):
2. Poiseuille’s Law (for Laminar Flow in a Straight Tube)
This law describes steady, incompressible, laminar flow of a Newtonian fluid in a long,
straight, rigid cylindrical tube:
Introduction
Fluid mechanics is a branch of physics that studies the behavior of fluids (liquids and gases)
and the forces acting on them. In biomechanics, fluid mechanics plays a crucial role in
understanding the flow of biological fluids such as blood, lymph, air (in lungs), and
synovial fluid. A fundamental model used to study this flow is the flow through a straight
cylindrical tube, which helps in analyzing blood vessels, airways, and catheter systems.
Key Concepts of Fluid Mechanics in a Tube
1. Laminar vs. Turbulent Flow
Laminar Flow:
o Smooth, orderly flow of fluid in parallel layers.
o Common in small blood vessels and under normal
physiological conditions.
Turbulent Flow:
o Irregular and chaotic.
o May occur in large arteries (like the aorta) during high velocity
or pathology.
Reynolds Number (Re):
2. Poiseuille’s Law (for Laminar Flow in a Straight Tube)
This law describes steady, incompressible, laminar flow of a Newtonian fluid in a long,
straight, rigid cylindrical tube:
