Fluid Mechanics 12.2 - Poiseuille Flow: Pressure driven flow between fixed parallel plates

In this segment, we derive and discuss the Poiseuille flow, which is a pressure-driven, steady, laminar, and fully-developed flow between fixed parallel plates. We also derive the volumetric flow rate and mean and maximum velocity values for Poiseuille flow. Table of Contents: 12:50- Maximum Velocity Calculation for Poiseuille Flow 14:49 - Mean Velocity and Volumeteric Flow Rate Calculation 19:30 - Mean Velocity and Maximum Velocity Relation for Poiseuille Flow Module 12: Navier Stokes Equations: In module 9, we covered the differential form of the conservation of momentum. We also made an assumption that fluid is inviscid and ended up with the Euler's equations. In this module, we relax the inviscid restriction and obtain the Navier Stokes equations, which are a very important equation for establishing the foundation for further studies in fluid dynamics. Student Learning Outcomes: After completing this module, you should be able to use the Navier Stokes equations to determine viscous flow characteristics between parallel plates and circular tubes. This material is based upon work supported by the National Science Foundation under Grant No. 2019664. Any opinions, findings, and conclusions, or recommendations expressed in this material are those of the author and do not necessarily reflect the views of the National Science Foundation.