| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Heat - Conduction Equations and Solution Methods | MAT615 | 3 + 0 | 3.0 | 6.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Graduate |
| Course Type | |
| Mode of delivery | Lecturing |
| Course Coordinator |
Assist. Prof. Dr. Pınar ZENGİN ALP |
| Instructors | |
| Assistants | |
| Goals | Teaching high level of mathematics to graduate degree students. |
| Course Content | Principles of heat transport,Heat flow,Heat transport equations Heat transport equations in differnet orthogonal coordinate systems Boundary conditions,Dimensionless heat transport parameters Homogen and nonhomogen problems Solution Methods of heat transport problems Solution Methods by seperating variables Discretization of heat transport equation in coordinate system midterm Unidimensional homogen problems(in finite media) (in quasi-infinite media) Unidimensional homogen problems (in infinite media) Multidimensional homogen problems Seperation of variables method in cylindrical coordinates |
| Learning Outcomes |
- Students will learn theoretical concepts in mathematics - Students will learn how to read academical journals |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Principles of heat transport,Heat flow,Heat transport equations | |
| 2. Week | Heat transport equations in differnet orthogonal coordinate systems | |
| 3. Week | Boundary conditions,Dimensionless heat transport parameters | |
| 4. Week | Homogen and nonhomogen problems | |
| 5. Week | Solution Methods of heat transport problems | |
| 6. Week | Solution Methods by seperating variables | |
| 7. Week | Discretization of heat transport equation in coordinate system | |
| 8. Week | midterm | |
| 9. Week | Unidimensional homogen problems(in finite media) (in quasi-infinite media) | |
| 10. Week | Unidimensional homogen problems (in infinite media) | |
| 11. Week | Multidimensional homogen problems | |
| 12. Week | Seperation of variables method in cylindrical coordinates | |
| 13. Week | Seperation of variables method in spherical coordinates | |
| 14. Week | The use of Green’s functions, The use of Laplace transformation, Phase change problems |
| 1.Heat Conduction, M. Necati Özışık John Wiley and Sons.NewYork 1980. |
| 2.Moving Boundary Problems in Heat Flow and Diffusion, J. R. Ockendon and W. R. Hodgkins Claremdon Pres, Oxford,1975. |
| 3.Free and Moving Boundary Problems, John Crank. Claremdon Pres. Oxford,1987. |
| Program Requirements | Contribution Level | DK1 | DK2 | Measurement Method |
|---|---|---|---|---|
| PY1 | 4 | 0 | 0 | 40 |
| PY2 | 4 | 0 | 0 | 40 |
| PY3 | 4 | 0 | 0 | 40 |
| PY4 | 4 | 0 | 0 | 60 |
| PY5 | 4 | 0 | 0 | 60 |
| PY6 | 4 | 0 | 0 | 40 |
| PY7 | 4 | 0 | 0 | 60 |
| PY8 | 4 | 0 | 0 | 40 |
| PY9 | 4 | 0 | 0 | 60 |
| PY10 | 4 | 0 | 0 | 60 |
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| Course's Level of contribution | None | Very Low | Low | Fair | High | Very High |
| Method of assessment/evaluation | Written exam | Oral Exams | Assignment/Project | Laboratory work | Presentation/Seminar |
| Event | Quantity | Duration (Hour) | Total Workload (Hour) |
|---|---|---|---|
| Course Hours | 14 | 3 | 42 |
| Midterm 1 | 1 | 2 | 2 |
| Homework 1 | 15 | 2 | 30 |
| Homework 2 | 15 | 2 | 30 |
| Quiz 1 | 4 | 1 | 4 |
| Quiz 2 | 4 | 1 | 4 |
| Final | 1 | 2 | 2 |
| Practice | 15 | 2 | 30 |
| Classroom Activities | 5 | 2 | 10 |
| Total Workload | 154 | ||
| ECTS Credit of the Course | 6.0 | ||
