Keywords: thermal balance

Mathematical modeling of a solid oxide fuel cell

https://doi.org/10.58224/2619-0575-2026-9-1-3
Abstract
Objectives: development of a mathematical model to describe the phenomena occurring in a medium-temperature solid oxide fuel cell. Solving the model equations requires finding a number of kinetic parameters, including the rate constants of electrochemical reactions.
Methods. To determine the viscosity of polymer solutions, their molecular weight and to study the adsorption of k-carrageenan on CX, the method of capillary viscometry was used. The assessment of the stability of the zones over time was carried out photometrically.
Results. The mathematical model is based on a system of partial differential equations and includes material and heat balance equations, as well as charge balance relationships. An algorithm for numerically solving the mathematical model equations and a corresponding software module for calculating the equations implemented in the Python programming language have been developed.
Conclusions. The developed mathematical model adequately describes the processes occurring at the electrodes of a medium-temperature fuel cell. The optimal fuel-to-oxidizer ratio was determined to be 1:10.
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EXCESS HEAT CAPACITIES OF THREE-COMPONENT SYSTEMS AND THEIR ROLE IN THE CALCULATION OF THE HEAT BALANCE OF DISTILLATION

Abstract
The work is devoted to the research of the influence of real values of the heat capacity of ternary mixtures on the energy consumption of the process in a distillation column. The results of the analysis of available reference experimental data for six ternary systems and their binary components are presented in the form of isoline diagrams of excess heat capacities. Additive and excess heat capacities of ternary mixtures, vapor-liquid equilibrium and different regimes, including those of extractive distillation, are calculated. It is shown that the dependences of the excess heat capacity on the composition of ternary mixtures are complex, and the use of real values makes it possible to estimate energy costs more correctly.
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