Difference between revisions of "User talk:Ferrandm"
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== Hypotheses == | == Hypotheses == | ||
The hypotheses to simplify the Navier-Stokes equations are : | The hypotheses to simplify the Navier-Stokes equations are : | ||
− | * The energy balance | + | * The energy balance according to Poinsot-Veynante is descreibed below : |
+ | <math>{\rho}\dfrac{DE}{Dt}=\dfrac{\partial{{\rho}E}}{\partial{t}}+\dfrac{\partial{{\rho}u_{i}E}}{\partial{x_{i}}} | ||
+ | =\dot{\omega_{T}}+\dfrac{\partial}{\partial{x_{i}}}({\lambda}\dfrac{\partial{T}}{\partial{x_{i}}})</math> | ||
+ | <math>- | ||
+ | \dfrac{\partial}{\partial{x_{i}}({\rho}{\sum}_{k=1}^{N}h_{s,k}Y_{k}V_{k,i}}) | ||
+ | +\dfrac{\partial{\sigma_{ij}}u_{i}}{\partial{x_{j}}}+\dot{Q}+\{{\rho}{\sum}_{k-1}^{N}Y_{k}f_{k,i}(u_{i}+V_{k,i})} </math> |
Revision as of 16:03, 6 June 2012
Hypotheses
The hypotheses to simplify the Navier-Stokes equations are :
- The energy balance according to Poinsot-Veynante is descreibed below :
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("<p>There was a problem during the HTTP request: 400 Bad Request </p>") from server "http://127.0.0.1:10044/":): - \dfrac{\partial}{\partial{x_{i}}({\rho}{\sum}_{k=1}^{N}h_{s,k}Y_{k}V_{k,i}}) +\dfrac{\partial{\sigma_{ij}}u_{i}}{\partial{x_{j}}}+\dot{Q}+\{{\rho}{\sum}_{k-1}^{N}Y_{k}f_{k,i}(u_{i}+V_{k,i})}