MathLiveEuler equations
These equations describe how the velocity of an inviscid fluid changes in time under pressure gradients and gravity. They are used in fluid dynamics for flows where viscosity and heat conduction are negligible.
\frac{\partial \mathbf{v}}{\partial t} + (\mathbf{v}\cdot \nabla)\mathbf{v} = \mathbf{g} - \frac{1}{\rho}\nabla pWhat the symbols mean
| flow velocity vector (m/s) | |
| time (s) | |
| mass density of the fluid (kg/m^3) | |
| pressure (Pa) | |
| gravitational acceleration vector (m/s^2) | |
| del (nabla) operator, spatial gradient |
About this formula
- FieldPhysics
- TopicFluid dynamics
- LevelUniversity
- Also calledEuler equations of fluid motion, inviscid flow equation, momentum equation for inviscid fluid, Euler momentum equation, compressible Euler equations, fluid acceleration equation
- SourceWikidata Q375175
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