Plane Poiseuille Flow — Lesson 2

This lesson covers the concept of plane Poiseuille flow, a type of fluid flow that occurs between two infinite parallel stationary flat plates under a constant pressure gradient and zero gravity. The lesson explains the assumptions made for fully developed flow in the case of plane Poiseuille flow and how to derive the velocity distribution, shear stress distribution, and volume flow rate per unit width. It also discusses the calculation of mean velocity, maximum velocity, and shear stress. The lesson further extends to the scenario of Poiseuille flow between inclined plates, explaining how gravity affects the pressure gradient and velocity distribution. The lesson concludes with the calculation of the pressure distribution inside the flow domain.

Video Highlights

01:00 - Discussion on plane Poiseuille flow and the assumptions of a fully developed plane Poiseuille flow.
13:14 - Explanation of the concept of mean velocity, maximum velocity and the velocity distribution.
25:20 - Introduction to the case of plane poiseuille flow between inclined plates.
29:41 - Calculation of the velocity distribution, volumetric flow rate, mean velocity, and shear stress for the inclined plates case.

Key Takeaways

- Plane Poiseuille flow is a type of fluid flow between two infinite parallel stationary flat plates under a constant pressure gradient and zero gravity.
- The velocity distribution, shear stress distribution, and volume flow rate per unit width can be derived using the assumptions of fully developed flow.
- The mean velocity, maximum velocity, and shear stress can be calculated using the derived equations.
- In the case of Poiseuille flow between inclined plates, gravity affects the pressure gradient and velocity distribution.
- The pressure distribution inside the flow domain can be calculated using the derived equations.