Fluid Mechanics 125 Hagen Poiseuille Flow Viscous flow in Circular Pipes

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In this video, we apply the Navier-Stokes equations in cylindrical-polar coordinates to obtain the velocity profile and maximum (or centerline) velocity for a fully-developed, laminar and steady flow in circular pipes. • Table of Contents: • 11:18 - Equation for Velocity Distribution for Hagen - Poiseuille Flow • 11:55 - The Maximum (or Centerline) Velocity for Hagen - 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.

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