This lesson covers the concept of Couette and Poiseuille flow, where the flow inside two infinite parallel plates is considered. The lesson explains the conditions under which the flow occurs, such as when the lower plate is stationary and the upper plate is moving with a constant velocity. It also discusses the impact of an imposed pressure gradient on the flow. The lesson further delves into the assumptions made while solving this Couette and Poiseuille flow, such as considering laminar steady incompressible flow with constant properties. The lesson also explains how to derive the velocity profile and find the constants involved. It also discusses the conditions for maximum and minimum velocity and how to calculate the average velocity. The lesson concludes with the calculation of shear stress distribution and volume flow rate.
01:30 - Discussion on the assumptions taken while solving Couette and Poiseuille flow.
05:02 - Discussion on the velocity profile and the solution for plane quiet flow and plane Poiseuille flow.
07:47 - Calculation of the shear stress distribution inside the fluid domain.
15:05 - Discussion on the location for maximum or minimum velocity and the conditions under which they occur.
38:59 - Introduction to a problem on Couette and Poiseuille flow and the process to solve it.
- Couette and Poiseuille flow occurs between two infinite parallel plates where the lower plate is stationary and the upper plate is moving with a constant velocity.
- The flow is influenced by an imposed pressure gradient.
- The velocity profile can be derived by integrating the governing equation twice.
- The constants involved can be found by invoking the boundary conditions.
- The conditions for maximum and minimum velocity depend on the pressure gradient.
- The average velocity can be calculated by finding the volume flow rate.
- The shear stress distribution and volume flow rate can be calculated using the derived formulas.