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Quantitative assessment of the identifiability of pipeline systems★The research was carried out within the project III.17.4.3 of the Fundamental research program of SB RAS (AAAA-A17-117030310437-4)

“…Recently, in connection with the emergence of advanced information and measurement systems, more attention is being paid to the development and application of identification (calibration) methods of PLS [3], water [4,5], heat [6,7], gas [8], oil supply systems [9], etc., as well as problems of optimizing of measurements composition for the possibility of using these methods [10].…”

The influence of the boundary condition on anodes for solution of convection–diffusion equation with the application to a four-electrode electrochemical cell

“…Four-electrode electrochemical cells comprised of two symmetrically placed anodes and cathodes and filled up with a potassium iodide-iodine aqueous electrolyte have been used as the sensing element in motion sensors [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. In such electrochemical cells, to provide enough electric conductivity in the bulk electrolyte so that the electric potential drop is confined within the thin electrical double layer (EDL) right next to the electrodes, the iodide concentration is usually much larger than that of the tri-iodide, which serves as the active ion determining the limiting current at the cathode.…”

“…In such electrochemical cells, to provide enough electric conductivity in the bulk electrolyte so that the electric potential drop is confined within the thin electrical double layer (EDL) right next to the electrodes, the iodide concentration is usually much larger than that of the tri-iodide, which serves as the active ion determining the limiting current at the cathode. The fact that the electric field is negligible in the bulk electrolyte makes the convection-diffusion equation the most common approach to theoretically describe the transport phenomena in such electrochemical cells [1][2][3][4][5][6][9][10][11]16,17]. In the convection-diffusion model, either only the active component, i.e., tri-iodide, is considered [1][2][3][4][5][6][9][10][11], or all three species of ions are included with some approximations [16,17].…”

“…The fact that the electric field is negligible in the bulk electrolyte makes the convection-diffusion equation the most common approach to theoretically describe the transport phenomena in such electrochemical cells [1][2][3][4][5][6][9][10][11]16,17]. In the convection-diffusion model, either only the active component, i.e., tri-iodide, is considered [1][2][3][4][5][6][9][10][11], or all three species of ions are included with some approximations [16,17]. The obvious advantage of the convection-diffusion approach is the significantly simplified mathematical formulation, which makes analytical solutions available in some cases [1,2,4,6,[9][10][11] and requires much less computational resources for numerical simulations [3,5,16,17].…”

“…In the convection-diffusion model, either only the active component, i.e., tri-iodide, is considered [1][2][3][4][5][6][9][10][11], or all three species of ions are included with some approximations [16,17]. The obvious advantage of the convection-diffusion approach is the significantly simplified mathematical formulation, which makes analytical solutions available in some cases [1,2,4,6,[9][10][11] and requires much less computational resources for numerical simulations [3,5,16,17]. However, this approach suffers from several inherent technical difficulties and limitations.…”