Modeling of Chemical-technological Processes

Major: Chemical Technology and Engineering
Code of subject: 6.161.00.O.032
Credits: 4.00
Department: Organic Products Technology
Lecturer: Associate Professor, Dr, Taras Chaikivskyi
Semester: 7 семестр
Mode of study: денна
Мета вивчення дисципліни: The purpose of studying the academic discipline is to provide students with the acquisition of basic knowledge, understanding and competences regarding the basic principles of building a mathematical model of an enterprise, understanding the essence of modeling and its tasks.
Завдання: The study of an academic discipline involves the formation and development of students' competencies: general competences: 1. The ability to solve complex specialized tasks and practical problems of chemical technologies and engineering during professional activity or in the process of learning, which involves the application of certain theories and methods of chemistry, chemical technologies and engineering and are characterized by the complexity and uncertainty of conditions. 2. Ability to use knowledge in practical situations. 3. The ability to learn, to perceive the acquired knowledge in the subject area and to integrate it with the existing ones. 4. Ability to plan and manage time. 5. Ability to system thinking, production of new ideas, creativity. 6. Ability to search and analyze information, skills in using information and communication technologies. 7. The ability to work independently and in a team, the ability to communicate effectively on professional and social levels. 8. The ability to analyze and synthesize, the ability to identify, formulate, set and solve scientific (scientific and applied) tasks. 9. Have the skills to develop and manage projects to ensure a high level of efficiency in the implementation of various types of projects in the subject area. 10. Determination and perseverance in the performance of the received tasks and responsibility for the quality of the work performed. professional competences: 1. Ability to demonstrate knowledge and understanding of basic facts, concepts, principles and theories related to chemistry. 1. Modern ideas about the principles of structural organization and typical functions and mechanisms of work of technological objects of chemical production. 2. Ability to apply modern experimental methods of working with technological objects of chemistry in industrial and laboratory conditions, skills of working with modern measuring equipment. 3. Ability to choose and use appropriate equipment, tools and methods for implementation and control of chemical production. 4. The ability to interpret data obtained as a result of laboratory observations and measurements from the point of view of their significance and correlate them with the relevant theory. 5. Ability to calculate and process data, use information technologies to solve experimental and practical tasks in professional activities.
Learning outcomes: As a result of studying the academic discipline, the student must be able to demonstrate the following learning outcomes: - the student is able to explain and use the main terms, definitions and concepts related to the modeling of chemical and technological processes; - the student is able to evaluate the object for modeling, to choose a method of modeling chemical product production processes; - the student is able to explain the influence of various types of factors on the functioning of the technological process. - the student can choose a method of optimizing the technological process.
Required prior and related subjects: Higher Mathematics Informatics and Information Technologies Processes and Apparatuses of Chemacal Production
Summary of the subject: The discipline "Modeling of chemical and technological processes" forms in students modern ideas about modeling, which is widely used in modern science, primarily in its applied fields. The use of modeling makes it possible to accelerate technical progress and significantly shorten the development time of new productions. Mathematical modeling is developing especially rapidly. The wide spread of the idea and methods of mathematical modeling led to the appearance of complex engineering problems, the solution of which cannot be dispensed with without the use of computer technology and methods of computational mathematics. In modern conditions, engineering personnel are required not only to know technology, but also to possess modern methods of production management, which is carried out with the help of computers. Knowing the basic principles of building a mathematical model of an enterprise, understanding the essence of modeling and its tasks will enable a specialist to better manage production. As a result of studying this discipline, the student acquires relevant knowledge, abilities, skills and competences necessary for organizing the activities of chemical industry enterprises and solving practical problems.
Опис: The subject and tasks of the discipline. Topic 1. Basic concepts of the modeling method § 1. Modeling and models. § 2. Material and mental models. § 3. Mathematical models. § 4. Basic requirements for the modeling process. Topic 2. Modeling methods § 1. Theory of similarity. § 2. Analogy. § 3. Analog computing machines. § 4. Mathematical modeling. Topic 3. Chemical-technological process as a system § 1. Two approaches to system description. § 2. The structure of mathematical description in the structural approach. § 3. Empirical models. Topic 4. Some features of mathematical modeling models and problems § 1. About the accuracy of the model. § 2. Model parameters. § 3. Models of continuous environments and pseudo-homogeneous models. § 4. Limiting stage. § 5. Objects with concentrated and distributed parameters. § 6. Finite and differential equations. Topic 5. Elements of the theory of experiment § 1. Random variable. § 2. Basic properties of the function f(u). § 3. Normal random variables. § 4. Numerical characteristics of a random variable. § 5. Basic properties of mathematical expectation and dispersion. § 6. Dependent and independent random variables. § 7. Correlation. Topic 6. Statistical estimates and hypothesis testing § 1. General population and sample. § 2. Verification of statistical hypotheses: errors of type I and II, criteria. Topic 7. The method of least squares § 1. Hypothesis testing regarding regression equations. § 2. Non-linear evaluation. Topic 8. Experiment planning § 1. Passive and active experiment. § 2. Plans of the first order. § 3. Plans of the 2nd order. § 4. Hypothesis testing in experiment planning. § 5. Interpretation of regression equations. § 6. Other problem statements of experiment planning. Topic 9. Analysis and description of processes in the flow § 1. Flows in devices of continuous action. § 2. Complexity of the flow structure. § 3. Models of ideal flows. § 4. On the realism of ideal flows. § 5. Complex reactions in ideal devices. Topic 10. Optimization of technological processes § 1. Formation of the optimization problem: optimization criteria, limitations, optimizing factors. § 2. Optimization methods: sorting, scanning, dichotomy, "golden section", coordinate descent, steep ascent, gradient method, random search.
Assessment methods and criteria: The main methods of knowledge diagnosis are: current (PC) and semester control (SC), which is carried out from educational material, the scope of which is determined by the work program of the discipline for the semester. Current control is carried out during lectures and laboratory classes in order to check the level of assimilation of theoretical and practical knowledge and skills of the student. PC is conducted in the form of: written-oral express control and protection of laboratory work. Semester control is carried out in the form of an Exam (Ec). The exam is a form of SC of the results of the student's studies in the academic discipline for the semester
Критерії оцінювання результатів навчання: • Current control (40%) - Reports of laboratory work (20%), individual home work (20%) • Final control (60%) - exam
Recommended books: 1. Чайківський Т.В. Навчально-методичний комплекс з навчальної дисципліни Моделювання хіміко-технологічних процесів http://vns.lpnu.ua/course/view.php?id=1623 2. Чайківський Т.В. Теорія похибок. Методичні вказівки. Львів: НУ “Львівська політехніка” –2002, -15с. 3. Чайківський Т.В. Дисперсійний аналіз. Методичні вказівки. Львів: НУ “Львівська політехніка” –2003, -25с. 4. Чайківський Т.В. Системи лінійних алгебраїчних нерівностей. Методичні вказівки. Львів: НУ “Львівська політехніка” –2002, -15с. 5. Чайківський Т.В. Задача лінійного програмування. Методичні вказівки. Львів: НУ “Львівська політехніка” –2002, -15с. 6. Чайківський Т.В. Симплекс-метод. Методичні вказівки. Львів: НУ “Львівська політехніка” –2002, -15с. 7. Рудавський Ю.К., Мокрий Є.М., Піх З.Г. та ін. Математичні методи в хімії та хімічній технології. Львів: В-во Світ. 1993. -206с. 8. Саулин Д.В. Математическое моделирование химико-технологических систем 9. Пинчук С.И. Организация эксперимента при моделировании и оптимизации технических систем. Учебное пособие. – Днепропетровск: ООО Независимая издательская организация "Дива", 2008. – с. 248 10. Кафаров В. В., Глебов М. Б. Математическое моделирование основных процессов химических производств: Учеб. пособие для вузов. - М.: Высш. шк. , 1991. - 400 с. 11. Банди Б. Методы оптимизации. Вводный курс 12. Бейко И.В., Бублик Б.Н., Зинько П.Н. Методы и алгоритмы решения задач оптимизации, Высшая школа, 1983 г. - 512 с. 13. Васильев Ф.П. Методы оптимизации. М.: Факториал пресс, 2002. 824 стр. 14. Закгейм А.Ю. Введение в моделирование химико-технологических процессов. М.: Химия. -1982. -287с. 15. Бояринов А.И., Кафаров В.В. Методы оптимизации в химической технологии. М.: Химия.-1975, -575с. 16. Ахназарова С.Л., Кафаров В.В. Оптимизация эксперимента в химии и химической технологии. М.: Высшая школа. -1978. -319с. 17. Бондарь А.Г. Математическое моделирование в химической технологии. Киев: Вища школа. -1973. -279с. 18. Федоткин И.М., Боровский В.В. Математическое моделирование технологических процессов методом аналогизации. Винница, -2002. -377с. 19.https://e5.onthehub.com/WebStore/ProductsByMajorVersionList.aspx?ws=45af95eb-c1b3-e411-9408-b8ca3a5db7a1&vsro=8

Modeling of Chemical-technological Processes

Major: Chemical Technology and Engineering
Code of subject: 6.161.00.O.033
Credits: 4.00
Department: Chemical Engineering
Lecturer: D.Sc. prof. Atamanyuk V.M.
Semester: 7 семестр
Mode of study: денна
Learning outcomes: During the course students must know and be able to use: • methods development of mathematical models of typical chemical engineering processes, taking into account the dynamic properties; • mathematical methods of research and development processes and devices of chemical technologies; • methods of software development for engineering design processes; • methods of constructing mathematical models based on physical and chemical laws of chemical-engineering processes; • methods of construction and study of the kinetics of homogeneous and heterogeneous chemical reactions; • modeling of chemical reactors of various types; • modern office systems and graphical shell. Be experienced: • specific tasks of modeling of chemical-engineering processes; • practical calculations in the study of real processes and devices, chemical reactors; • practical use of modern software, office software and shells.
Required prior and related subjects: Computer Science Higher mathematics Physics General chemical technology Processes and equipment of chemical technology
Summary of the subject: The method of mathematical modeling. Basic concepts and definitions in mathematical modeling. Systems and processes. Modeling the flow structure. Model of ideal mixing. Model of ideal displacement. Cellular model of the flow. Diffusion model of the flow. Combined models of flow structure. Adequacy test models of the flow. Modeling of heat transfer and heat transfer. The process of heat transfer of heat through the wall. A mathematical model of heat exchanger type "shuffle-shuffle." Mathematical model of the heat exchanger of "mixing-displacement" and the heat exchanger of "displacement-displacement". Modeling of heat transfer in solids. Modeling of mass transfer and mass transfer. Modeling of chemical transformations. The kinetics of chemical reactions. Using mathematical models to optimize chemical-engineering processes.
Assessment methods and criteria: • written reports on laboratory work, oral examination, reference work (30%) • final control (70% control measure, exam), written-oral form (70%)
Recommended books: Навчально–методична література. Література до теоретичного курсу: 1. Атаманюк В.М. Математичне моделювання і застосування комп’ютерної техніки у хімічній технології. Конспект лекцій. 98с. 2. Мазяк З.Ю. Застосування комп’ютерної техніки у хімічній технології. В-во Львівська політехніка. ч. 1 і ч. 2. Львів: 2004. 3. Акназаров С.Л., Кафаров В.В. Оптимизация експеримента в химии и химической технологии. –М. Висшая школа. 1988. 4. Бондарь А.Г. Математическое моделирование в химической технологии. Вища школа. Киев. 1973. 279 с. 5. Брановицька С.В. Обчислювальна математика у хімії і хімічній технології. –К: Вища школа. 1986. 6. Боярынов А.И., Кафаров В.В. Методы оптимизации в химической технологии. Химия. Моска. 1969. 564 с. 7. Джонсон К. Численные методы у химии и химической технологии. –М.: Мир.1983. 8. Кафаров В.В. Методы кибернетики в химии и химической технологии. Химия. Москва. 1971. 496 с. Література до практичних занять: 1. Павлов К.Ф., Романков П.Г., Носков А.А. Примеры и задачи по курсу процессов и аппаратов химической технологии. –Л.: Химия. 1987, 576 с. 2. Смирнов Н.Н., Волжский А.И. Химические реакторы в примерах и задачах. –Л.: Химия. 1986. 222 с.