Model Mathematics

\frac{d}{d time} (q_L) = - v_Re1 \frac{d}{d time} (q_K1) = - v_Re1 \frac{d}{d time} (q_K2) = - v_Re2 \frac{d}{d time} (q_LK1) = (v_Re1 - v_Re2) + v_Re3 \frac{d}{d time} (q_K2P) = v_Re3 \frac{d}{d time} (q_P) = - v_Re3 \frac{d}{d time} (q_LK1K2) = v_Re2 - v_Re3

mu_L = R T \ln (K_L q_L) mu_K1 = R T \ln (K_K1 q_K1) mu_K2 = R T \ln (K_K2 q_K2) mu_LK1 = R T \ln (K_LK1 q_LK1) mu_K2P = R T \ln (K_K2P q_K2P) mu_P = R T \ln (K_P q_P) mu_LK1K2 = R T \ln (K_LK1K2 q_LK1K2) v_Re1 = kappa_Re1 (ⅇ^{\frac{mu_L + mu_K1}{R T}} - (ⅇ^{\frac{mu_LK1}{R T}})) v_Re2 = kappa_Re2 (ⅇ^{\frac{mu_LK1 + mu_K2}{R T}} - (ⅇ^{\frac{mu_LK1K2}{R T}})) v_Re3 = kappa_Re3 (ⅇ^{\frac{mu_P + mu_LK1K2}{R T}} - (ⅇ^{\frac{mu_LK1 + mu_K2P}{R T}}))