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Navier Stokes equation

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If it is analyzed how the moment in a flow is modified in effect of the flow, its viscosity and pressure gradient, the so-called Navier Stokes equation is obtained.

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ID:(1301, 0)

Navier Stokes equation

Description

If it is analyzed how the moment in a flow is modified in effect of the flow, its viscosity and pressure gradient, the so-called Navier Stokes equation is obtained.

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$ \rho \left(\displaystyle\frac{\partial\vec{u}}{\partial t}+\vec{u}\cdot\nabla\vec{u}\right)=-\nabla p+\eta\nabla^2\vec{u}+\displaystyle\frac{1}{3}\nabla(\nabla\cdot\vec{u})+\rho\vec{g}$

\rho\left(\displaystyle\frac{\partial\vec{u}}{\partial t}+\vec{u}\cdot\nabla\vec{u}\right)=-\nabla p+\eta\nabla^2\vec{u}+\displaystyle\frac{1}{3}\nabla(\nabla\cdot\vec{u})+\rho\vec{g}

(ID 9936)

Examples

Navier Stokes equation

The flow of a liquid or gas is described by the Navier-Stokes equation:

$ \rho \left(\displaystyle\frac{\partial\vec{u}}{\partial t}+\vec{u}\cdot\nabla\vec{u}\right)=-\nabla p+\eta\nabla^2\vec{u}+\displaystyle\frac{1}{3}\nabla(\nabla\cdot\vec{u})+\rho\vec{g}$

(ID 9936)

ID:(1301, 0)