Time Independent Fluids Flow Through Pipes — Lesson 1

This lesson covers the transport phenomenon of non-Newtonian fluids, focusing on time-independent fluids flow through pipes. It delves into the different aspects of non-Newtonian behavior, the measurement of rheology, and the derivation of conservation equations of mass and momentum. The lesson further explores the application of these principles to understand the transport phenomena of different types of non-Newtonian fluids, such as power law fluids, Bingham plastic fluids, and Herschel Bulkley fluids. It also discusses the impact of different geometries on the flow of these fluids. The lesson concludes with an illustrative example of how the pressure drop and flow rate of a shear thinning fluid differ from that of a Newtonian fluid.

Video Highlights

02:07 - Explanation of the flow of power law fluid through circular tubes due to pressure difference.
15:58 - Explanation of the equation of continuity in cylindrical coordinates and the simplification of the equation based on the constraints of the problem.
22:25 - Explanation of the derivation of the shear stress distribution and the velocity profile for power law fluids.
53:59 - Discussion on the effect of the rheological nature of the fluid on the velocity profile and the volumetric flow rate.
56:27 - Explanation of an example problem to illustrate the concepts discussed in the lecture.

Key Takeaways

• Non-Newtonian fluids exhibit different behaviors, which can be measured through rheology.
• The transport phenomena of non-Newtonian fluids can be understood by applying the principles derived from conservation equations of mass and momentum.
• Different types of non-Newtonian fluids, such as power law fluids and Bingham plastic fluids, exhibit different flow characteristics.
• The geometry of the pipe or tube through which the fluid flows significantly impacts the flow of non-Newtonian fluids.
• In the case of shear thinning fluids, a higher pump energy is required to maintain the same flow rate as compared to Newtonian fluids.