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laws:wavat [2023/11/22 15:08] gilles [Description] |
laws:wavat [2023/12/12 16:47] (current) gilles [WAVAT/WAVAT2/WAVAT3] |
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| - | ====== WAVAT/WAVAT2/WAVAT3 ====== | + | ====== WAVAT/WAVAT3 ====== |
| ===== Description ===== | ===== Description ===== | ||
| - | Water - air seepage - thermal coupled – vapour diffusion 2D/3D/2nd gradient constitutive law for solid elements | + | Water - air seepage - thermal coupled – vapour diffusion 2D/3D constitutive law for solid elements |
| ==== The model ==== | ==== The model ==== | ||
| This law is only used for water seepage - air seepage-thermal coupled and vapour diffusion for non linear analysis in 2D/3D porous media. | This law is only used for water seepage - air seepage-thermal coupled and vapour diffusion for non linear analysis in 2D/3D porous media. | ||
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| === Ecoulement du liquide et de la vapeur === | === Ecoulement du liquide et de la vapeur === | ||
| - | En partant de l’équation de Darcy, la vitesse du liquide ( Volume de fluide par unité de surface de sol ) est donnée par : | + | En partant de l’équation de Darcy, la vitesse du liquide (Volume de fluide par unité de surface de sol) est donnée par : |
| \[ | \[ | ||
| \vec{q_l} = - \frac{k_w}{\mu_w}\left[ \vec{grad}(p_w) + g \rho_w \vec{grad}(y)\right]\ \text{où}\ k_w = K_w \frac{\mu_w}{\rho_w g}\left[ m^2\right] | \vec{q_l} = - \frac{k_w}{\mu_w}\left[ \vec{grad}(p_w) + g \rho_w \vec{grad}(y)\right]\ \text{où}\ k_w = K_w \frac{\mu_w}{\rho_w g}\left[ m^2\right] | ||