| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Mathematical Modelling | MKM304 | Compulsory | Bachelor's degree | 3 | Spring | 4 |
Name of Lecturer(s)
Prof. Dr. Nevin Gamze KARSLI YILMAZ
Assistant Prof. Dr. Ramiz Gültekin AKAY
Learning Outcomes of the Course Unit
1) Investigate the variables affecting the process
2) Setup and solve mometum, energy and mass balance equations in chemical processeses
4) Describe the analogy between the momentum, energy and mass transports during the mathematical modelling of transport phenomena
5) Formulate mathematical models of various chemical engineering systems and solves them by using appropriate analytical/numerical methods
6) Use logical assumptions during the modelling process and shows the validity of the used assumptions
Program Competencies-Learning Outcomes Relation
| Program Competencies | |||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | ||
| Learning Outcomes | |||||||||||
| 1 | High | Middle | Low | No relation | Low | Low | Low | No relation | No relation | No relation | |
| 2 | High | Middle | Low | No relation | Low | Middle | No relation | No relation | No relation | No relation | |
| 4 | High | Middle | Low | No relation | Low | High | No relation | No relation | No relation | No relation | |
| 5 | High | High | Low | No relation | Low | High | No relation | No relation | No relation | No relation | |
| 6 | High | High | Low | No relation | Low | High | No relation | No relation | No relation | No relation | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
Heat and Mass Transfer, differential equations (calculus 1-2)
Course Contents
Modeling concepts and terminology in chemical engineering problems Conceptual unification of molecular and convective transport in momentum heat and mass transfer Use of interphase transport and transfer coefficients in model development Unsteady-state microscopic and macroscopic balances
Weekly Schedule
1) Introduction to Mathematical Modelling2) Fundamentals of Modelling: 1. Fundamental Concepts, laws and terminology in chemical enginnering 2. Classification of chemical engineering problems
3) Unification of molecular and convective transport for heat, mass and momentum transport (analogy)
4) Laws of momentum, mass and heat transport (Macroscopic)
5) Laws of momentum, mass and heat transport (Macroscopic)
6) Laws of momentum, mass and heat transport (Macroscopic)
7) Generation term in momentum, mass and heat transport
8) mid-term exam
9) Momentum, mass and heat conservation laws (microscopic-steady-state)
10) Momentum, mass and heat conservation laws (microscopic-unsteady-state)
11) Momentum, mass and heat conservation laws (microscopic-unsteady-state)
12) Chemical process models that generate ordinary differential equations (ODE) and their solutions
13) Chemical process models that generate partial differential equations (PDE) and their solutions
14) Chemical process models that generate partial differential equations (PDE) and their solutions
15) General review
16) FINAL EXAM
Recommended or Required Reading
Planned Learning Activities and Teaching Methods
Assessment Methods and Criteria
Contribution of Midterm Examination to Course Grade |
30% |
|---|---|
Contribution of Final Examination to Course Grade |
70% |
Total |
100% |
Language of Instruction
English
Work Placement(s)
Not Required