FK026 Mathematical Methods in dynamical Diffusion

6 ECTS - 3-0 Duration (T+A)- . Semester- 3 National Credit

Information

Code FK026
Name Mathematical Methods in dynamical Diffusion
Term 2024-2025 Academic Year
Semester . Semester
Duration (T+A) 3-0 (T-A) (17 Week)
ECTS 6 ECTS
National Credit 3 National Credit
Teaching Language Türkçe
Level Yüksek Lisans Dersi
Type Normal
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Prof. Dr. MEHMET KARAKILÇIK


Course Goal / Objective

To give general information about the mathematical methods of diffusion and to teach the calculation of diffusion coefficients in cartesian, cylindrical and spherical systems

Course Content

Diffusion equations, solution methods when the diffusion coefficient is fixed, diffusion in a plane layer, diffusion in a cylinder, diffusion in a sphere, concentration-dependent diffusion, numerical methods, some calculations for variable diffusion coefficients, measurement and identification of diffusion coefficients, non-Fickian diffusion, heterogeneous diffusion in environments.

Course Precondition

none

Resources

Mathematical Methods in Dynamic Diffusion

Notes

Textbooks, lecture notes, articles, internet resources on the subject


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Write and solve diffusion equations
LO02 Explains diffusion coefficient constant
LO03 Defines diffusion in a plane layer
LO04 Writes and explains the cylindrical diffusion equation
LO05 Writes and explains spherical diffusion equations
LO06 Defines concentration-dependent diffusion
LO07 Knows and analyzes numerical methods
LO08 Performs some calculations for variable diffusion coefficients
LO09 Writes diffusion equations and calculates coefficients
LO10 Writes and explains the non-Fickian diffusion method
LO11 Explains diffusion in heterogeneous environments


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal Has sufficient infrastructure in various subjects of Physics. 1
PLO02 Bilgi - Kuramsal, Olgusal Demonstrate the knowledge of appropriate mathematical techniques used in physics. 2
PLO03 Bilgi - Kuramsal, Olgusal Interpret observational and experimental results.
PLO04 Bilgi - Kuramsal, Olgusal Makes use of the conceptual and practical knowledge acquired in the physics field at mastery level. 3
PLO05 Bilgi - Kuramsal, Olgusal Has a knowledge about the logic of scientific research.
PLO06 Bilgi - Kuramsal, Olgusal Report the solution of a physics problem, experimental results or projects in a written format or orally. 2
PLO07 Bilgi - Kuramsal, Olgusal Chooses and uses the necessary publications, books and methods for a scientific research. 2
PLO08 Bilgi - Kuramsal, Olgusal Accesses a knowledge about a subject in physics, does literature search and uses other sources for this purpose. 2
PLO09 Bilgi - Kuramsal, Olgusal Provides solutions to the problems encountered in the physics field applying research methods. 3
PLO10 Bilgi - Kuramsal, Olgusal Can perform an independent research.
PLO11 Bilgi - Kuramsal, Olgusal Can perform group work effectively in a research or industrial projects.
PLO12 Bilgi - Kuramsal, Olgusal Becomes conscious of the necessity of lifelong learning.
PLO13 Bilgi - Kuramsal, Olgusal To keep track of the developments in physics and updates himself/herself invariably. 1
PLO14 Bilgi - Kuramsal, Olgusal Shares his/her ideas and suggestions for solutions to the physical problems with experts and non-experts by supporting them with quantitative and qualitative data. 2
PLO15 Bilgi - Kuramsal, Olgusal Can make an effective written or oral presentation of the results obtained in a study.
PLO16 Bilgi - Kuramsal, Olgusal Makes use of the knowledge, problem solving and / or application skills acquired in the physics field in interdisciplinary studies. 2
PLO17 Bilgi - Kuramsal, Olgusal Has a foundation necessary to work in a research and development organizations.


Week Plan

Week Topic Preparation Methods
1 Diffusion equations Investigation of related topics in books Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
2 solution methods when the diffusion coefficient is fixed Investigation of related topics in books Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
3 diffusion in a plane layer Investigation of related topics in books Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
4 diffusion in a cylinder Investigation of related topics in books Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
5 diffusion in a sphere Investigation of related topics in books Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
6 concentration-dependent diffusion Investigation of related topics in books Öğretim Yöntemleri:
Soru-Cevap
7 numerical methods Investigation of related topics in books Öğretim Yöntemleri:
Soru-Cevap, Problem Çözme
8 Mid-Term Exam Mid-Term Exam Ölçme Yöntemleri:
Yazılı Sınav
9 some calculations for variable diffusion coefficients Investigation of related topics in books Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
10 Measurement and identification of diffusion coefficients Investigation of related topics in books Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
11 Non-Fickian diffusion, Investigation of related topics in books Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
12 Heterogeneous diffusion in environments Investigation of related topics in books Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Problem Çözme
13 Diffusion in gas environments Investigation of related topics in books Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
14 Diffusion in liquids Investigation of related topics in books Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
15 Diffusion in solid environments Investigation of related topics in books Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Problem Çözme
16 Term Exams General course review Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams General course review Ölçme Yöntemleri:
Yazılı Sınav


Student Workload - ECTS

Works Number Time (Hour) Workload (Hour)
Course Related Works
Class Time (Exam weeks are excluded) 14 3 42
Out of Class Study (Preliminary Work, Practice) 14 5 70
Assesment Related Works
Homeworks, Projects, Others 0 0 0
Mid-term Exams (Written, Oral, etc.) 1 15 15
Final Exam 1 30 30
Total Workload (Hour) 157
Total Workload / 25 (h) 6,28
ECTS 6 ECTS

Update Time: 09.05.2024 12:17