Blood Flow in Channels — Lesson 3

This lesson covers the concept of blood flow in channels, focusing on the cardiovascular system. It explains the fully developed flow of a Newtonian fluid and a Casson fluid, which can model the rheological behaviour of blood in a channel. The lesson also discusses the conservation of mass and momentum, the mass conservation equation, and the momentum conservation equation. It further elaborates on the implications of Hagen Poiseuille law in the cardiovascular system, explaining how a small change in radius can cause significant changes in flow rate and blood pressure. The lesson concludes with an analysis of the flow of a Casson fluid, a non-Newtonian fluid that accurately models blood flow.

Video Highlights

01:20 - Discussion on conservation of mass and momentum
05:57 - Analysis of fully developed pipe flow
18:19 - Implications of Hagen Poiseuille law in the cardiovascular system
22:10 - Analysis of the flow of a Casson fluid

Key Takeaways

- The flow of blood in channels can be modeled using the fully developed flow of a Newtonian fluid and a Casson fluid.
- The conservation of mass and momentum are crucial in understanding the flow of blood in channels.
- The Hagen Poiseuille law has significant implications in the cardiovascular system, where a small change in radius can cause significant changes in flow rate and blood pressure.
- The Casson fluid, a non-Newtonian fluid, can accurately model the flow of blood in channels.