Facoltà di Ingegneria - Guida degli insegnamenti (Syllabus)

Fundamentals of mathematical analysis and physics

This course aims at giving students the basic knowledge of fluid mechanics. Together with the fundamentals in mathematics and physics, this course will increase the knowledge in the field of industrial engineering with particular focus on thermofluid-dynamics giving the student the awareness of the multidisciplinary context of engineering with particular focus on the issues related to the conversion, transmission, final use of energy and to the design of fluid machines and energy systems.

Aiming at applying the fundamentals of fluid mechanics in the industrial sector, students must be able to face engineering problems by means of suitable and well-timed methodologies and techniques. The main skills acquired in the course are: 1.basic knowledge of the fluid dynamics governing equation; 2. ability to evaluate for simple systems the fluid dynamics loads; 3. Ability to perform fluid dynamics analyses on simple steady state systems using the control volume technique

The ability of solving numerical problems, together with the awareness of their knowledge, will improve the judgement autonomy of students, their communications skills and their learning ability

Introduction: The field of fluid mechanics; approximation of continuous; stress on a point; definition of fluid; properties of fluids. Fluid statics. Fluid kinematics. Conservation of mass and momentum Bernoulli theorem The control volumes method Vorticity and viscosity Potential flows Analytical solution of the Navier-Stokes equations for some simple problems Conservation of energy Boundary layers An introduction to turbulent flows Viscous flows in ducts, laminar and turbulent flow regimes, distributed and minor losses Dimensional analysis and similarity.

The assessment of the students preparation will be performed via a written and oral examination. In the written test, the student will be asked to demonstrate the knowledge of the general criteria for the calculation of forces exchanged between a fluid, which can be in motion or at rest, and a body, using different methodologies and mathematical models explained during the course. In the oral test, the student is asked to deduce the most important physical laws governing the fluid motion, the assumptions involved and the resultant applicability limits.

Within the examination, the student must demonstrate the knowledge of the principal physical laws governing the fluid motion, knowing how these laws can be prooven, and the ability to use the methodologies and the mathematical models presented during the course. In addition, the student must show a sufficient ability in the synthesis and in the link between all the different topics dealt within the course.

Grading scheme is based on a scale of 30 points. Successful completion of the examination will lead to grades ranging from 18 to 30.

The maximum mark, which is thirty with laude, is awarded to students that demonstrate in the tests a complete autonomy in formulating and solving the problems, with an outstanding ability to use the methodologies and mathematical models proper of the fluid dynamics. The minimum mark, which is eighteen, is awarded to students that demonstrate the ability to solve the tests with sufficient knowledge of the methodologies and mathematical models proper of the fluid dynamics. The admission to the oral examination is subordinate to passing the written examination. The final grade is due to the result of the oral examination. This grade will be the sum of the grades obtained in answering two questions.

All the slides used during the course can be downloaded from the moodle web page: https://lms.univpm.it. Basic reference textbook: Yunus A. Cengal John M. Ciballa,"Meccanica dei fluidi", McGraw-Hill For further investigation: David Pnulli Chaim Gutfinger, "Meccanica dei Fluidi", Zanichelli, D. C. Wilcox, Basic Fluid Mechanics, DCW Industries, Inc

- Ingegneria Meccanica (Corso di Laurea Triennale (DM 270/04))

**Università Politecnica delle Marche**

P.zza Roma 22, 60121 Ancona

Tel (+39) 071.220.1, Fax (+39) 071.220.2324

P.I. 00382520427