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Commit 19f2c89f authored by Melanie Lipp's avatar Melanie Lipp Committed by Timo Koch
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[example][freeflowchannel] Stokes not Navier Stokes.

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...@@ -10,7 +10,7 @@ This example contains a stationary free flow of a fluid through two parallel sol ...@@ -10,7 +10,7 @@ This example contains a stationary free flow of a fluid through two parallel sol
## Model description ## Model description
The Stokes model without gravitation and without sources or sinks for a stationary, incompressible, laminar, single phase, one-component, isothermal ($`T=10^\circ C`$) flow is considered assuming a Newtonian fluid of constant density $` \varrho = 1~\frac{\text{kg}}{\text{m}^3} `$ and constant kinematic viscosity $` \nu = 1~\frac{\text{m}^2}{\text{s}} `$. The momentum balance The Stokes model without gravitation and without sources or sinks for a stationary, incompressible, laminar, single phase, one-component, isothermal ($`T=10^\circ C`$) flow is considered assuming a Newtonian fluid of constant density $` \varrho = 1~\frac{\text{kg}}{\text{m}^3} `$ and constant kinematic viscosity $` \nu = 1~\frac{\text{m}^2}{\text{s}} `$. The momentum balance
```math ```math
\nabla \cdot (\varrho\boldsymbol{u} \boldsymbol{u}^{\text{T}}) - \nabla\cdot\left(\mu\left(\nabla\boldsymbol{u}+\nabla\boldsymbol{u}^{\text{T}}\right)\right)+ \nabla p = 0 - \nabla\cdot\left(\mu\left(\nabla\boldsymbol{u}+\nabla\boldsymbol{u}^{\text{T}}\right)\right)+ \nabla p = 0
``` ```
with density $`\varrho`$, velocity $`\boldsymbol{u}`$, dynamic viscosity $`\mu=\varrho\nu`$ and pressure $`p`$ and the mass balance with density $`\varrho`$, velocity $`\boldsymbol{u}`$, dynamic viscosity $`\mu=\varrho\nu`$ and pressure $`p`$ and the mass balance
```math ```math
......
...@@ -10,7 +10,7 @@ This example contains a stationary free flow of a fluid through two parallel sol ...@@ -10,7 +10,7 @@ This example contains a stationary free flow of a fluid through two parallel sol
## Model description ## Model description
The Stokes model without gravitation and without sources or sinks for a stationary, incompressible, laminar, single phase, one-component, isothermal ($`T=10^\circ C`$) flow is considered assuming a Newtonian fluid of constant density $` \varrho = 1~\frac{\text{kg}}{\text{m}^3} `$ and constant kinematic viscosity $` \nu = 1~\frac{\text{m}^2}{\text{s}} `$. The momentum balance The Stokes model without gravitation and without sources or sinks for a stationary, incompressible, laminar, single phase, one-component, isothermal ($`T=10^\circ C`$) flow is considered assuming a Newtonian fluid of constant density $` \varrho = 1~\frac{\text{kg}}{\text{m}^3} `$ and constant kinematic viscosity $` \nu = 1~\frac{\text{m}^2}{\text{s}} `$. The momentum balance
```math ```math
\nabla \cdot (\varrho\boldsymbol{u} \boldsymbol{u}^{\text{T}}) - \nabla\cdot\left(\mu\left(\nabla\boldsymbol{u}+\nabla\boldsymbol{u}^{\text{T}}\right)\right)+ \nabla p = 0 - \nabla\cdot\left(\mu\left(\nabla\boldsymbol{u}+\nabla\boldsymbol{u}^{\text{T}}\right)\right)+ \nabla p = 0
``` ```
with density $`\varrho`$, velocity $`\boldsymbol{u}`$, dynamic viscosity $`\mu=\varrho\nu`$ and pressure $`p`$ and the mass balance with density $`\varrho`$, velocity $`\boldsymbol{u}`$, dynamic viscosity $`\mu=\varrho\nu`$ and pressure $`p`$ and the mass balance
```math ```math
......
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