ECTS - Mathematical Modeling in Chemical Engineering

Mathematical Modeling in Chemical Engineering (CEAC533) Course Detail

Course Name Course Code Season Lecture Hours Application Hours Lab Hours Credit ECTS
Mathematical Modeling in Chemical Engineering CEAC533 Area Elective 3 0 0 3 5
Pre-requisite Course(s)
N/A
Course Language English
Course Type Elective Courses
Course Level Natural & Applied Sciences Master's Degree
Mode of Delivery Face To Face
Learning and Teaching Strategies Lecture, Discussion, Question and Answer.
Course Coordinator
Course Lecturer(s)
  • Assoc. Prof. Dr. Sertan Yeşil
Course Assistants
Course Objectives The aim of this course is to develop mathematical modeling abilities for chemical engineering problems. At the end of this course, it is aimed to comprehend the conservation of momentum, energy and mass transfer principles and apply them to model chemical engineering problems. In addition, it is aimed to develop the ability to solve differential equations obtained as a result of mathematical modeling.
Course Learning Outcomes The students who succeeded in this course;
  • Examines the variables that affect chemical processes.
  • Uses logical assumptions in the modeling process and demonstrates the validity of these assumptions.
  • Creates microscopic and macroscopic momentum, energy and mass balances in chemical processes.
  • Writes microscopic and macroscopic equations using dimensionless (unitless) variables and numbers and interprets the physical significance of terms and dimensionless numbers in these equations.
  • Explains the analogy between momentum, energy and mass transports in mathematical modeling of transport phenomena.
  • Formulates mathematical models of various chemical engineering systems.
  • Demonstrates the ability to obtain analytical and/or numerical solutions of first and second order differential equations.
  • Demonstrates the ability to solve linear partial differential equations with analytical and/or numerical methods.
Course Content Modeling concepts and terminology in chemical engineering problems, molecular and convective transport for heat, mass and momentum, interphase transport and transport coefficients in model development, steady and unsteady state microscopic and macroscopic transport

Weekly Subjects and Releated Preparation Studies

Week Subjects Preparation
1 Introduction to Mathematical Modeling: Basic Concepts, Laws and Terminology in Chemical Engineering Problems Course Book Chapter 1
2 Molecular and Convective Transport Course Book Chapter 2
3 Conceptual Unification of Molecular and Convective Transport Phenomena for Momentum Transfer Course Book Chapters 3 and 4
4 Conceptual Unification of Molecular and Convective Transport Phenomena for Heat Transfer Course Book Chapters 3 and 4
5 Conceptual Unification of Molecular and Convective Transport Phenomena for Mass Transfer Course Book Chapters 3 and 4
6 Generation in Momentum and Heat Transfer Course Book Chapter 5
7 Generation in Mass Transfer Course Book Chapter 5
8 Midterm Exam Course Book Chapters 1-5
9 Laws of Conservation of Momentum, Mass and Heat (Macroscopic Balances – Steady State) Course Book Chapter 6
10 Laws of Conservation of Momentum, Mass and Heat (Microscopic Balances - Steady State) Course Book Chapter 8
11 Chemical Process Models That Generate Ordinary Differential Equations (ODE) and Their Solutions Course Book Chapters 6 and 8
12 Chemical Process Models That Generate Ordinary Differential Equations (ODE) and Their Solutions Course Book Chapters 6 and 8
13 Midterm Exam Course Book Chapters 6 and 8
14 Laws of Conservation of Momentum, Mass and Heat (Macroscopic Balances – Unsteady State) Course Book Chapter 7
15 Chemical Process Models That Generate Partial Differential Equations (PDE) and Their Solutions Course Book Chapter 7
16 Final Exam Course Book Chapters 1-8

Sources

Course Book 1. Modeling in Transport Phenomena A Conceptual Approach; İsmail Tosun, Elsevier, 2nd Edition, 2007
Other Sources 2. Mathematical Modeling in Chemical Engineering; Anders Rasmuson, Bengt Andersson, Louise Olsson, Ronnie Andersson, Cambridge University Press, 1st Edition, 2014
3. Transport Phenomena, R. Byron Bird, Warren E. Stewart, Edwin N. Lightfoot, John Wiley & Sons, 2nd Edition, 2007

Evaluation System

Requirements Number Percentage of Grade
Attendance/Participation - -
Laboratory - -
Application - -
Field Work - -
Special Course Internship - -
Quizzes/Studio Critics - -
Homework Assignments 4 20
Presentation - -
Project - -
Report - -
Seminar - -
Midterms Exams/Midterms Jury 2 40
Final Exam/Final Jury 1 40
Toplam 7 100
Percentage of Semester Work 60
Percentage of Final Work 40
Total 100

Course Category

Core Courses X
Major Area Courses
Supportive Courses
Media and Managment Skills Courses
Transferable Skill Courses

The Relation Between Course Learning Competencies and Program Qualifications

# Program Qualifications / Competencies Level of Contribution
1 2 3 4 5
1 An ability to access, analyze and evaluate the knowledge needed for the solution of advanced chemical engineering and applied chemistry problems. X
2 An ability to self-renewal by following scientific and technological developments within the philosophy of lifelong learning. X
3 An understanding of social, environmental, and the global impacts of the practices and innovations brought by chemistry and chemical engineering.
4 An ability to perform original research and development activities and to convert the achieved results to publications, patents and technology.
5 An ability to apply advanced mathematics, science and engineering knowledge to advanced engineering problems. X
6 An ability to design and conduct scientific and technological experiments in lab- and pilot-scale, and to analyze and interpret their results.
7 Skills in design of a system, part of a system or a process with desired properties and to implement industry.
8 Ability to perform independent research. X
9 Ability to work in a multi-disciplinary environment and to work as a part of a team. X
10 An understanding of the professional and occupational responsibilities. X

ECTS/Workload Table

Activities Number Duration (Hours) Total Workload
Course Hours (Including Exam Week: 16 x Total Hours) 16 3 48
Laboratory
Application
Special Course Internship
Field Work
Study Hours Out of Class 16 2 32
Presentation/Seminar Prepration
Project
Report
Homework Assignments 4 3 12
Quizzes/Studio Critics
Prepration of Midterm Exams/Midterm Jury 2 9 18
Prepration of Final Exams/Final Jury 1 15 15
Total Workload 125