Fluid Mechanics (ΕΜ4)

Graduate Courses Outlines - Department of Mathematics

General

School	School of Science
Academic Unit	Department of Mathematics
Level of Studies	Graduate
Course Code	EM4
Semester	2
Course Title	Fluid Mechanics
Independent Teaching Activities	Lectures (Weekly Teaching Hours: 3, Credits: 7.5)
Course Type	Special Background
Prerequisite Courses	-
Language of Instruction and Examinations	Greek
Is the Course Offered to Erasmus Students	Yes (in English)
Course Website (URL)	See eCourse, the Learning Management System maintained by the University of Ioannina.

Learning Outcomes

Learning outcomes	The course is an introduction to the analytical and numerical methods of Fluid Mechanics. The objectives of the course are: Development of the theoretical background of the postgraduate student in matters relating to Fluid Mechanics and ability of the student to apply analytical, approximate and numerical methods in Fluid Mechanics problems. Upon completion of the course the graduate student will be able to solve problems with analytical, approximate or numerical methods and further deepen the understanding of such methods.
General Competences	The course aims to enable the postgraduate student to: Develop the ability to analyse and synthesize basic knowledge of Fluid Mechanics. Adapt to new situations Decision-making Working independently Team work All the above will give to the students the opportunity to work in an international multidisciplinary environment.

Syllabus

Kinematics of Fluids, Fluid flow analysis, Equation of continuity and stream function, motion equations for Ideal and real fluids, laminar and turbulent flow, Boundary layer flows with adverse pressure gradient, Numerical Methods in Fluid Mechanics, Classification of fluid dynamics problems and relevant equations that describe basic numerical schemes, method of finite differences, compatibility, stability and convergence of numerical schemes, finite volume method, Introduction to the method of weighted residues, finite element method. The course includes training in computational methods in the computer laboratory (Applied and Computational Mathematics Laboratory).

Teaching and Learning Methods - Evaluation

Delivery

In class

Use of Information and Communications Technology

Use of computer lab (Applied and Computational Mathematics Laboratory).

Teaching Methods

Activity	Semester Workload
Lectures	39
Study study	78
Homework - Projects	70.5
Course total	187.5

Student Performance Evaluation

Weekly assignments
Final project
Written examination at the end of the semester

Attached Bibliography

Fluid Mechanics with Applications, M. Xenos and E. Tzirtzilakis, 2018 (in Greek)
Fluid Mechanics, Volume 1, A. Papaioanou, 2nd Edition, 2001 (in Greek).
Computational Fluid Mechanics, I. Soulis, 1st Edition, 2008 (in Greek).
Numerical heat transfer and fluid flow, S.V. Patankar, McGraw-Hill, New York, 1980.
The Finite Element Method, Vol. 1, The Basis, O.C. Zienkiewicz, R.L. Taylor, 5th Ed., Butterworth-Heinemann, Oxford, 2000.
Computational Techniques for fluid Dynamics, C.A.J. Fletcher Volumes I and II, 2nd Ed. Springer-Verlag, Berlin, 1991.