Complete Mathematical Model of Electrochemical Gas Sensors

The proposed methodology for computer-aided optimal design in the development of YSZ-based gas sensors comprises three phases. Firstly, the complete mathematical model with distributed temporal and spatial parameters for electrochemical gas sensors is presented as a system of the differential equations in private derivatives of parabolic and hyperbolic types. The complexity of physical and chemical interactions, represented in this model, allows performing a mathematical description of the electrochemical gas sensors toward standardization of the calculating procedures. The complete mathematical model and the algorithm of transfer from the complete 

FIGURE 2.1 Summarized structural scheme of measuring transformations in the solid electrolyte gas sensors. (Reprinted from Zhuiykov, S., Mathematical modelling of YSZ-based potentiometric gas sensors with oxide sensing electrodes part II Complete and numerical models for analysis of sensor characteristics, Sensors and Actuators B, Chem. 120 (2007) 645-656, with permission from Elsevier Science.) 

The parts of every equation of the complete system (2.1) are as follows  

By using the deduction principle, the complete mathematical model of the electrochemical gas sensors with distributed parameters can be transformed to the mathematical models of the specific gas sensors, which is important for organization of their optimal design. 

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Zhuiykov, S., Complete mathematical model of electrochemical gas sensors with distributed temporal and spatial parameters, in Proc. Ilth Int. Meeting on Chemical Sensors, 11-17 July 2006, Brescia, Italy, 203. 

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