Power-law and Ellis Model Fluids Flow Through Pipes — Lesson 2

This lesson covers the transport phenomena of non-Newtonian fluids, focusing on Power-law and Ellis Model Fluids Flow through Pipes. It begins with a recap of the previous class, discussing the development of the velocity profile for time-independent non-Newtonian fluid. The lesson then delves into the details of how to obtain the velocity profile, volumetric flow rate, average and maximum velocity, and pressure distribution for a fluid flowing through a pipe due to pressure difference. The lesson also explains the importance of the friction factor in designing and controlling operational parameters. Towards the end, the lesson provides a detailed walkthrough of how to calculate the pressure drop required to maintain a specific volumetric flow rate.

Video Highlights

01:13 - Explanation of how to obtain the velocity profile, volumetric flow rate, average and maximum velocity for a power law fluid flowing through a pipe.
13:12 - Derivation of the velocity profile for Ellis model fluid flowing through a circular tube.
32:09 - Calculation of the maximum velocity and volumetric flow rate for Ellis model fluid.
41:29 - Solving an example problem related to the pressure drop required to maintain a certain volumetric flow rate through a pipe for an Ellis model fluid.

Key Takeaways

• The velocity profile, volumetric flow rate, average and maximum velocity, and pressure distribution can be obtained for a fluid flowing through a pipe due to pressure difference.
• The friction factor is an essential factor in designing and controlling operational parameters.
• The pressure drop required to maintain a specific volumetric flow rate can be calculated using the principles of transport phenomena of non-Newtonian fluids.
• The transport phenomena of non-Newtonian fluids can be applied in practical scenarios, as illustrated in the example problem.