Structural identifiability analysis of the dynamic gas–liquid film model

Unstationary Film Model for the Determination of Absolute Gas-Liquid Kinetic Rate Constants: Ozonation of Acid Red 27, Acid Orange 7, and Acid Blue 129

“…While the first of these hypotheses is easily assumed considering that 'A' is the ozone which diffusivity is well characterized (Johnson and Davis, 1996), the second one depends on the physical realization of the reactor and its characterization. In a previous work it has been demonstrated that the parameters [25] is the minimal set of parameters allowing the univocal characterization of a reacting gas-liquid system (Navarro- Laboulais et al, 2006). Another significant result of this model is that the Hatta number is inherent to them and it is given by: This relation has been found considering the classical definition of Hatta's number but its meaning is different.…”

“…Inside this liquid film of length δ, the substances are spatially distributed as a result of the diffusion-reaction processes. Assuming an unstationary diffusion-reaction equation to model the mass transport across the film with constant diffusion coefficients, the mass balances of 'A' and 'B' in the gas, the film and the bulk phases lead to the following coupled system of ordinary and partial differential equations (Navarro-Laboulais et al 2006;Cardona et al, 2010)):…”

“…eqs. [25], are derived from the structural identifiability analysis of a transfer-reaction gas-liquid model (Navarro-Laboulais et al, 2006). Furthermore, the parameter sensitivity analysis of the model (Navarro-Laboulais et al, 2008;Cardona et al, 2010) allows the identification of the insensitive parameters, i.e.…”

Impact of the number and sampling time of water content measurements on the identifiability of a concentration-dependent water diffusivity

“…Experiments should be designed considering the structural and practical identifiability of the water diffusivity. Structural identifiability refers to the unicity of the least-squares objective function for the theoretical situation of perfect (noise-free) measurements of the output variable [1][2][3][4]. The input variables are structurally identifiable if the model mapping from the input variable space to the output variable space is injective [5][6][7].…”

Effect of the water content measurements on the estimation and identifiability of water diffusion and convection mass transfer coefficients

“…Structural identifiability refers to the unicity of the inverse method for measurements of the state variable without noise [1][2][3]. Assuming that h 1 belongs to a set of admissible values b ad , h 1 will be structurally identifiable if no other admissible vector of coefficients h 2 can give the same output variable y:…”