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| MAK7220 | Heat Conduction | 3+0+0 | ECTS:7.5 | | Year / Semester | Spring Semester | | Level of Course | Third Cycle | | Status | Elective | | Department | DEPARTMENT of MECHANICAL ENGINEERING | | Prerequisites and co-requisites | None | | Mode of Delivery | | | Contact Hours | 14 weeks - 3 hours of lectures per week | | Lecturer | Dr. Öğr. Üyesi Özgür AYDIN | | Co-Lecturer | None | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | To introduce the basic theory of heat conduction including the mathematical fundamentals, exact and approximate analytical solutions of various heat conduction problems. |
| Programme Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | PO - 1 : | get an in depth understanding of the physical mechanisms of heat conduction phenomena. | 1,5 | 1,3 | | PO - 2 : | become familiar with various forms of heat conduction equation in rectangular, cylindrical, and spherical coordinates and related boundary and initial conditions. | 1,5 | 1,3 | | PO - 3 : | learn the use of the method of separation of variables in solving heat conduction problems. | 1,5 | 1,3 | | PO - 4 : | learn using some special techniques such as Duhamel's Theorem, Green's Function, and Laplace Transform in the solution of heat conduction problems. | 3,5 | 1,3 | | PO - 5 : | use approximate analytical methods in the solution of heat conduction problems. | 3,5 | 1,3 | | CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), PO : Learning Outcome | | |
| Heat conduction fundamentals. The method of separation of variables: Applications in rectangular, cylindrical, and spherical coordinate systems. The use of Duhamel's theorem, Green's function and Laplace transforms in the solution of heat conduction problems. Approximate analytical methods. |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Heat conduction fundamentals: The heat flux, the differential equation of heat conduction, heat conduction equation in various orthogonal coordinate systems, boundary conditions, dimensionless heat conduction parameters, homogeneous and nonhomogeneous problems, methods of solution of heat conduction problems. | | | Week 2 | The method of separation of variables, separation of the heat conduction equation in cartesian coordinate system. | | | Week 3 | One dimensional homogeneous problems in a finite medium. | | | Week 4 | One dimensional homogeneous problems in semi-infinite and infinite mediums. | | | Week 5 | Multidimensional homogeneous problems, product solution. (Assignment of the first homework problems) | | | Week 6 | Multidimensional steady-state problems with and without heat generation. (The first asignments are due) | | | Week 7 | Splitting up nonhomogeneous problems into simpler problems, useful transformations. | | | Week 8 | Separation of heat conduction equation in the cylindrical coordinate system, representation of an arbitrary function in terms of Bessel functions. | | | Week 9 | Midterm exam | | | Week 10 | Homogeneous problems in various combinations of time and spatial coordinates as variables. (Assignment of the second homework problems) | | | Week 11 | Multidimensional steady-state problems in cylindrical coordinate system with and without heat generation, splitting up nonhomogeneous problems into simpler problems. (The second homework assignments are due) | | | Week 12 | Separation of heat conduction equation in the spherical coordinate system, representation of an arbitrary function in terms of Legendre functions, homogeneous problems in various combinations of time and spatial coordinates as variables. | | | Week 13 | Multidimensional steady-state problems in spherical coordinate system with and without heat generation, splitting up nonhomogeneous problems into simpler problems. | | | Week 14 | The use of Duhamel's theorem in the solution of heat conduction problems with either time dependent boundary conditions or time dependent heat generation. (Assignment of the third homework problems) | | | Week 15 | The use of Green's function in the solution of nonhomogeneous time dependent heat conduction problems. (The third assignments are due) | | | Week 16 | End of the term exam | | | |
| 1 | Özışık, M. N. 1980; Heat Conduction, John Wiley, New York. | | | |
| 1 | Özışık, M. N. 19993; Heat Conduction, Second Edition, Wiley-Interscience, New York. | | | 2 | Jiji, L.M. 2009; Heat Conduction, Springer, India. | | | 3 | Incropera, F. P., DeWitt, D. P., Bergman, T. L., and Lavine, A. S. 2007; Fundamentals of Heat and Mass Transfer, John Wiley, USA. | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 10 | 23/11/2021 | 1 | 50 | | End-of-term exam | 17 | 18/01/2011 | 1 | 50 | | |
| Student Work Load and its Distribution | | Type of work | Duration (hours pw) | No of weeks / Number of activity | Hours in total per term | | Yüz yüze eğitim | 3 | 14 | 42 | | Sınıf dışı çalışma | 4.5 | 14 | 63 | | Arasınav için hazırlık | 16 | 1 | 16 | | Arasınav | 3 | 1 | 3 | | Ödev | 10 | 3 | 30 | | Dönem sonu sınavı için hazırlık | 30 | 1 | 30 | | Dönem sonu sınavı | 3 | 1 | 3 | | Total work load | | | 187 |
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