Laminar flow of GNFs between Parallel Plates and along Inclined Surface — Lesson 3

This lesson covers the transport phenomena of non-Newtonian fluids, focusing on the laminar flow of generalized Newtonian fluids between parallel plates and along inclined surfaces. It discusses the different geometries, such as pipe and circular cylinder, and how to obtain the volumetric flow rate, velocity profile, average velocity, and friction factor under laminar flow conditions. The lesson also explains the concept of fully developed flow and how to calculate the shear stress and velocity profile for different types of fluids, including power-law fluids, Bingham fluids, and viscoplastic fluids. It concludes with an example problem demonstrating how to calculate the volumetric flow rate for an Ellis model fluid flowing down an inclined surface.

Video Highlights

02:19 - Discussion on the flow between parallel plates and along inclined surfaces.
11:18 - Discussion on the simplification of the continuity equation and momentum equation.
38:18 - Discussion on the flow of a Bingham plastic fluid between two infinitely long parallel plates.
48:33 - Discussion on the flow of an Ellis model fluid along an inclined surface.
59:55 - Solving an example problem related to the flow of an Ellis model fluid along an inclined surface.

Key Takeaways

• The laminar flow of generalized Newtonian fluids can be analyzed using different geometries such as pipe, circular cylinder, parallel plates, and inclined surfaces.
• The velocity profile, volumetric flow rate, and friction factor can be calculated under laminar flow conditions.
• The shear stress and velocity profile for different types of fluids, including power-law fluids, Bingham fluids, and viscoplastic fluids, can be obtained using specific methodologies.
• The concept of fully developed flow is crucial in understanding the behavior of fluids in different geometries.
• The volumetric flow rate for an Ellis model fluid flowing down an inclined surface can be calculated using the given methodology.