Nondimensionalizing the Navier-Stokes Equation @FacultyofKhan
Nondimensionalizing the Navier-Stokes Equation  @FacultyofKhan
Uploaded August 2016 | Updated September 2026, 3 weeks ago
In this video, I convert the Navier-Stokes equation for an incompressible, Newtonian fluid to a dimensionless form. The Reynold's number comes up as one of the parameter groups that results from the nondimensionalization.

Any questions/comments? Leave them below and I'll get back to you!

Prereqs: Previous nondimensionalization video. Even though Navier-Stokes is mentioned, you don't need to know much Fluid Mechanics. It helps to know about Reynold's number, but the lesson is basically a giant exercise in algebra so not knowing some of the dimensionless parameters won't screw you over. Some really basic knowledge of partial derivatives also helps.

Lecture Notes: drive.google.com/file/d/0B_urJu4cgDhMbnVyQmFRREpISEE/view?usp=sharing&resourcekey=0-XG876pqbynH6xaLSy0it1g

Patreon Link: patreon.com/user?u=4354534
Nondimensionalizing the Navier-Stokes EquationThe Metric Tensor: Introduction and ExamplesContravariant and Covariant Vectors | 2/2Introduction to General RelativityThe Covariant Derivative of a TensorEinstein Summation Convention: an IntroductionIntroducing the Wave Equation: Derivation and IntuitionDeriving the Schwarzschild Metric: Computing the Ricci Tensor | General RelativityIntroducing 4-vectors in Special RelativityLength Contraction in Special RelativityReal Analysis Introduction: Sets and Set OperationsThe Metric of Flat Spacetime: Introducing the Minkowski Metric
Faculty of Khan |

Nondimensionalizing the Navier-Stokes Equation

SHARE TO X SHARE TO REDDIT SHARE TO FACEBOOK WALLPAPER