Difference between revisions of "User talk:Ferrandm"
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<math>{\rho}\dfrac{DE}{Dt}=\dfrac{\partial{{\rho}E}}{\partial{t}}+\dfrac{\partial{{\rho}u_{i}E}}{\partial{x_{i}}} | <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}}}) | =\dot{\omega_{T}}+\dfrac{\partial}{\partial{x_{i}}}({\lambda}\dfrac{\partial{T}}{\partial{x_{i}}}) | ||
| − | -\dfrac{\partial}{\partial{x_{i}}}({\rho}{\sum}_{k=1}^{N}h_{s,k}Y_{k}V_{k,i}) | + | -\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}}}</math> | |
| + | <math> | ||
| + | +\dot{Q}+\{\rho}{\sum}_{k-1}^{N}Y_{k}f_{k,i}(u_{i}+V_{k,i}) </math> | ||
Revision as of 16:08, 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/":): +\dot{Q}+\{\rho}{\sum}_{k-1}^{N}Y_{k}f_{k,i}(u_{i}+V_{k,i})
