Исследование особенностей катодного восстановления железа из электролитов на основе Fe (III)
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Дата
2014
Автори
ORCID
DOI
Науковий ступінь
Рівень дисертації
Шифр та назва спеціальності
Рада захисту
Установа захисту
Науковий керівник
Члени комітету
Видавець
Технологічний центр
Анотація
Разработана методология моделирования формообразования поверхностей, описываемых весовыми функциями, построенными на базе решений обратных задач дифференциальной геометрии с помощью S-функций. Результаты решений обратных задач дифференциальной геометрии использованы при построении консервативных структур решения задач теплопроводности, точно удовлетворяющих граничным условиям третьего рода. Структура решения учитывает влияние граничных воздействий только в граничном пояске области решения задачи.
Based on the solutions of inverse problems of differential geo-metry using S-functions, modeling methodology of shaping surfaces, described by weight functions that accurately describe the equations of complex boundaries was developed.An algorithm of surface description in the complex area in the form of an inverted flat-bottom plate outside the boundary belt of the area was built. It has allowed to construct an approximate mathematical model of the thermal process using the proposed conservative solution structure of the heat conduction problem in such a way that it is fully consistent with the physical model of the thermal process, including the case, when the value of the heat transfer coefficient tends to infinity. The constructed analytical solution structure of the heat conduction problem exactly satisfies the Newton’s boundary condition at any given values of the heat transfer coef ficient and ambient temperature for complex areas. Conservativeness of the solution structure lies in the fact that it takes into account the influence of the boundary effects only in the boundary belt of the area of the problem solution.
Based on the solutions of inverse problems of differential geo-metry using S-functions, modeling methodology of shaping surfaces, described by weight functions that accurately describe the equations of complex boundaries was developed.An algorithm of surface description in the complex area in the form of an inverted flat-bottom plate outside the boundary belt of the area was built. It has allowed to construct an approximate mathematical model of the thermal process using the proposed conservative solution structure of the heat conduction problem in such a way that it is fully consistent with the physical model of the thermal process, including the case, when the value of the heat transfer coefficient tends to infinity. The constructed analytical solution structure of the heat conduction problem exactly satisfies the Newton’s boundary condition at any given values of the heat transfer coef ficient and ambient temperature for complex areas. Conservativeness of the solution structure lies in the fact that it takes into account the influence of the boundary effects only in the boundary belt of the area of the problem solution.
Опис
Ключові слова
моделирование тепловых процессов, структура решения, S-функция, формообразование поверхностей, modeling of thermal processes, solution structure, S-function, surface shaping
Бібліографічний опис
Ермоленко И. Ю. Исследование особенностей катодного восстановления железа из электролитов на основе Fe (III) / И. Ю. Ермоленко // Технологічний аудит та резерви виробництва = Technology audit and production reserves. – 2014. – Т. 4, № 1 (18). – С. 44-48.