Information Package / Course Catalogue
| Course Code | : MME552 |
| Course Type | : Area Elective |
| Couse Group | : Second Cycle (Master's Degree) |
| Education Language | : English |
| Work Placement | : N/A |
| Theory | : 3 |
| Prt. | : 0 |
| Credit | : 3 |
| Lab | : 0 |
| ECTS | : 8 |
1. Provide a rigorous understanding of numerical discretization methods for thermal-fluid science problems governed by conservation laws. 2.Develop the ability to formulate computational models for steady and transient heat conduction, convection-diffusion, boundary-layer flow, fins, and phase-change systems. 3. Enable students to implement, debug, verify, and interpret numerical algorithms using MATLAB. 4.Build competence in stability, consistency, convergence, error estimation, mesh and time-step independence, and sensitivity analysis. 5. Prepare students to communicate computational methodology and results in a form suitable for graduate research reports and peer-reviewed publications.
Numerical differentiation and integration; solution of nonlinear equations; numerical solution of initial- and boundary-value problems; governing equations for heat conduction and viscous flow; boundary-layer theory and numerical treatment of the Blasius flat-plate problem; separation of variables as an analytical benchmark; finite-difference and finite-volume methods for steady heat conduction in Cartesian and cylindrical coordinates; numerical modelling of finned surfaces; explicit and implicit schemes for transient heat conduction; stability, convergence, and error analysis; one-dimensional transient conduction problems in Cartesian and cylindrical systems; numerical modelling of one-dimensional phase-change heat transfer; MATLAB/Simulink-based case studies for thermal-system analysis, verification, and parametric evaluation.
| 1. | 1. Formulate governing equations, boundary conditions, and initial conditions for representative thermal-fluid systems using conservation-based reasoning. |
| 2. | 2. To develop mathematical modeling and solution of engineering problems. |
| 3. | 3. Apply finite-difference and finite-volume discretization techniques to elliptic, parabolic, and introductory convection-diffusion problems. |
| 4. | 4. Implement explicit and implicit schemes for transient heat conduction and assess stability, accuracy, and computational cost. |
| 5. | 5. Model one-dimensional fins, cylindrical systems, and phase-change problems using enthalpy or effective heat-capacity formulations. |
| 1. | 1. S. C. Chapra, R. P. Canale, Applied Numerical Methods with Matlab for Engineering , McGraw Hill,3rd Ed., 2012. |
| 2. | 2. Incropera, F. P., and others, Principles of Heat and Mass Transfer 7th ed., 2013. |
| 3. | 3. Y. A. Çengel and M. A. Boles, Thermodynamics: An Engineering Approach, 8th Edition, McGraw-Hill, 2014. |
| 4. | 4. M. Necati Özişik Finite Difference Methods in Heat Transfer 2nd Edition 1994. |
| Type of Assessment | Count | Percent |
|---|---|---|
| Assignment | 5 | %10 |
| Project | 1 | %10 |
| Midterm Examination | 1 | %20 |
| Final Examination | 1 | %60 |
| Activities | Count | Preparation | Time | Total Work Load (hours) |
|---|---|---|---|---|
| Lecture - Theory | 14 | 5 | 3 | 112 |
| Assignment | 5 | 7 | 5 | 60 |
| Project | 1 | 10 | 5 | 15 |
| Midterm Examination | 1 | 4 | 2 | 6 |
| Final Examination | 1 | 4 | 2 | 6 |
| TOTAL WORKLOAD (hours) | 199 | |||
PÇ-1 | PÇ-2 | PÇ-3 | PÇ-4 | PÇ-5 | PÇ-6 | PÇ-7 | PÇ-8 | PÇ-9 | PÇ-10 | PÇ-11 | PÇ-12 | |
OÇ-1 | 3 | 3 | 3 | 3 | 4 | 3 | 4 | 3 | 3 | 4 | 3 | 3 |
OÇ-2 | 4 | 4 | 4 | 3 | 5 | 4 | 3 | 4 | 4 | 5 | 4 | 4 |
OÇ-3 | 3 | 3 | 5 | 5 | 5 | 4 | 4 | 4 | 5 | 5 | 4 | 3 |
OÇ-4 | 4 | 5 | 5 | 4 | 4 | 5 | 5 | 5 | 4 | 4 | 5 | 4 |
OÇ-5 | 3 | 5 | 5 | 3 | 4 | 4 | 4 | 3 | 3 | 4 | 5 | 4 |