Digital Engineering 24/7

Helping design and engineering professionals discover, evaluate and specify technologies and processes that shorten the design cycle and enable success.

Alert!

Digital Engineering ceased publication on July 1, 2026. This website remains available as an archive of engineering content.

For inquiries or information, please email [email protected].

Glossary: Navier-Stokes

 
 
The Navier-Stokes equations apply to Newton's second law of motion for fluids (liquids and gases; f = ma), because this type of equation essentially describe fluid motion.
 
 

The equation, which is recognized as significant within fluid dynamics, asserts that mass multiplied by fluid particle acceleration is relative to outside forces working upon it. Navier-Stokes equations can work with Newtonian and non-Newtonian, as well as compressible and incompressible fluids. The equations represent what's occurring in movement of fluids as related to internal forces such as volume, electromagnetic and gravity, and surface forces (for examples, shear and pressure). Navier-Stokes derives its name from Claude-Louis Navier and George Gabriel Stokes, a French engineer and Irish mathematician and physicist, respectively. Navier studied viscosity (friction) and its relationship to the issue of viscous fluids. Stokes expanded on what Navier had done and worked to come up with solutions for two-dimensional flows.

More Navier-Stokes

More Navier AI

Browse glossary terms

Latest News

Latest Resources

From our Sponsors

Meltio Takes Metal Additive to the Next Level
Meltio's DED technology enables industries to tailor and customize their solutions to create & repair metal parts.
Easing the Transition from ETO to CTO with Configuration Lifecycle Management
Manufacturers are discovering that the Configure-to-Order (CTO) model provides significant benefits when it comes to customization.
Siemens + Altair = The Next Chapter in Design and Simulation
With its acquisition of Altair, Siemens creates a unified simulation portfolio combining generative design with high-performance computing and AI workflows.