Stokes Equation

Available identifiers

WikidataQ7618547 ScholiaQ7618547MaRDI QIDQ6674516

describes a fluid flow with small advective inertial forces compared to viscous forces

Description

Stokes equation describes a fluid flow with small advective inertial forces compared to viscous forces, with a low Reynolds number. It occurs in situations with very slow fluid velocities, high viscosities, or small flow length scales.

---

Defining Formula: $\begin{array}{cc}\frac{\partial v}{\partial t}+\mathrm{\nabla }\cdot (-\nu (\mathrm{\nabla }{v}^{ff}+\mathrm{\nabla }{v}^{\mathrm{f}\mathrm{f},\mathrm{T}})+{\rho }^{-1}{p}^{ff}I)& =0\\ \mathrm{\nabla }\cdot v^{ff}& =0\end{array}$

$I$ symbol represents Identity Function

$\nu$ symbol represents Fluid Kinematic Viscosity (Free Flow)

$\rho$ symbol represents Fluid Density

$p^{ff}$ symbol represents Fluid Pressure (Free Flow)

$t$ symbol represents Time

$v^{ff}$ symbol represents Fluid Velocity (Free Flow)

---

Related URL

https://en.wikipedia.org/wiki/Stokes_flow

---