What is the difference between streamline flow and turbulent flow in fluids, and how does Poiseuille's formula apply to liquid flow through a capillary tube?
Understand the Problem
The question appears to be related to fluid dynamics, specifically discussing streamline flow, turbulent flow, and Poiseuille's formula for flow through a capillary tube. It provides definitions and conditions for these types of flow, highlighting the differences, particularly in terms of velocity and pressure.
Answer
Streamline flow is smooth; turbulent is chaotic. Poiseuille's formula describes laminar flow in capillary tubes.
Streamline flow is smooth and uniform (laminar), while turbulent flow is chaotic with eddies. Poiseuille's formula applies to the laminar flow of liquid through a capillary tube, establishing a relationship between flow rate, tube dimensions, and pressure difference. It assumes steady, non-accelerated flow.
Answer for screen readers
Streamline flow is smooth and uniform (laminar), while turbulent flow is chaotic with eddies. Poiseuille's formula applies to the laminar flow of liquid through a capillary tube, establishing a relationship between flow rate, tube dimensions, and pressure difference. It assumes steady, non-accelerated flow.
More Information
Poiseuille's law specifically helps to calculate the flow rate of a viscous fluid, useful in medical and engineering applications.
Tips
Mistakes often include applying Poiseuille's Law to turbulent flow or when pressures are not uniform.
Sources
- Viscosity and Laminar Flow; Poiseuille's Law - phys.libretexts.org
- Laminar and Turbulent Flow - JoVE - jove.com
- Applications of Poiseuille's Law and Equation - resources.system-analysis.cadence.com
