List of equations in fluid mechanics
From Wikipedia, the free encyclopedia
From Wikipedia, the free encyclopedia
This article summarizes equations in the theory of fluid mechanics.
Here is a unit vector in the direction of the flow/current/flux.
Quantity (common name/s) | (Common) symbol/s | Defining equation | SI units | Dimension |
---|---|---|---|---|
Flow velocity vector field | u | m s−1 | [L][T]−1 | |
Velocity pseudovector field | ω | s−1 | [T]−1 | |
Volume velocity, volume flux | φV (no standard symbol) | m3 s−1 | [L]3 [T]−1 | |
Mass current per unit volume | s (no standard symbol) | kg m−3 s−1 | [M] [L]−3 [T]−1 | |
Mass current, mass flow rate | Im | kg s−1 | [M][T]−1 | |
Mass current density | jm | kg m−2 s−1 | [M][L]−2[T]−1 | |
Momentum current | Ip | kg m s−2 | [M][L][T]−2 | |
Momentum current density | jp | kg m s−2 | [M][L][T]−2 | |
Physical situation | Nomenclature | Equations |
---|---|---|
Fluid statics, pressure gradient |
|
|
Buoyancy equations |
|
Buoyant force
|
Bernoulli's equation | pconstant is the total pressure at a point on a streamline | |
Euler equations |
|
|
Convective acceleration | ||
Navier–Stokes equations |
|
Seamless Wikipedia browsing. On steroids.
Every time you click a link to Wikipedia, Wiktionary or Wikiquote in your browser's search results, it will show the modern Wikiwand interface.
Wikiwand extension is a five stars, simple, with minimum permission required to keep your browsing private, safe and transparent.