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## Equations

Equations: 14
Note 3: In equations 'E' means explicit,'I' implicit,'L' linear,'F' function
[E-1] F_optim[3] = F_optim[3].
[E-2] F_optim[4] = F_optim[4].
[E-3] cB = cA0 - cA
[E-4] x = (cA0 - cA) / cA0
[E-5] k = 5.967 * exp(-826 / (T + 273.14))
[E-6] cA' = (q * (cA0 - cA) - V * k * cA) / V
[E-7] Q = U * A * (T - Tr)
[E-8] T' = (q * rho * Cp * (Te - T) - V * k * cA * DH - Q) / (V * rho * Cp)
[E-9] Tr' = (Fr * rhor * Cpr * (Tre - Tr) + Q) / (Vr * rhor * Cpr)
[E-10] J_coste = -q * (cA0 - cA)
[E-11] F_optim[1] = J_coste
[E-12] F_optim[2] = x
[E-13] F_optim[3]' = MATH.min(T, LiminfT) - LiminfT
[E-14] F_optim[4]' = MATH.max(T, LimsupT) - LimsupT