OVERVIEW

Introductory course on fluid mechanics.

AIMS AND LEARNING OUTCOMES

The aim of the course is to provide the student with basic knowledge on the motion of fluids. At the end of the course the student will have acquired knowledge that will make him able to:

• calculate the action of a fluid at rest on surfaces and bodies inside it
• solve problems related to simple duct systems
• use the principles formulated in global form for the calculation of the action of a moving fluid  on surfaces and bodies inside it.

Teaching methods

The teaching is divided into lectures held by the teacher, in which the theory will be exposed and exercises.

In the lectures, the theory  will be applied to different examples.
 
In the part devoted to  exercises, the student will carry out independently exercises proposed by the teacher. The exercises  will be corrected in the classroom by the teacher.

SYLLABUS/CONTENT

Fundamentals:

The Continuum assumption. Physical properties. Forces acting on a fluid. Pressure and stress in fluids. State equation.

Nonflowing fluids:

Stress in a fluid at rest. Integral and differential equations for a fluid at rest. Pressure distribution in a constant density fluid and in an ideal gas subject to gravity. Pressure forces on plane surfaces. Pressure forces on curved surfaces. Pressure variation across interfaces. Surface tension.

Kinematics of fluids

Eulerian and Lagrangian description of the flow. Material derivative. Velocity and acceleration. Transport Theorem.

Fluid Dynamics

Stress in a moving fluid. Mass conservation principle and its integral formulation. Momentum principle and its integral formulation. Integral formulation of the angular momentum law. Applications of the integral formulation of fluid flow (Force of a jet on a surface, Borda losses, forces of a Pelton blade). Ideal fluids and Bernoulli theorem with applications ( efflux through a hole in the side of a tank, stagnation pressure, Pitot tube)

Quasi-unidirectional incompressible flow

Characteristic quantities (averaged velocity, discharge, The Piezometric Head, Kinetic Head, Total Head). Continuity equation. Momentum equation. Steady uncompressible flow in circular ducts. Bernoulli Theorem. Flow measurements devices (Venturi meter, thin plate orifice, flow nozzle). Fundamentals on hydraulics networks.

Dimensional Analysis, model testing and similitude

Dimensional analysis and Pi theorem. Applications (drag and lift on a body moving in a fluid).Model testing and similitude

Fundamentals on boundary layer

RECOMMENDED READING/BIBLIOGRAPHY

1. Teacher's lectures notes(in italian)

2. Marchi – Rubatta: Meccanica dei fluidi: principi ed applicazioni idrauliche, UTET 1981

3. Ghetti: Idraulica Libreria Cortina. Padova 1980

Exam Board

GIOVANNA VITTORI (President)

RODOLFO REPETTO

NICOLETTA TAMBRONI

FEDERICA TUBINO

GIUSEPPE PICCARDO

MARCO MAZZUOLI

LUIGI GAMBAROTTA

ANDREA BACIGALUPO

PAOLO BLONDEAUX

MARCO LEPIDI (President Substitute)

Teaching methods

The teaching is divided into lectures held by the teacher, in which the theory will be exposed and exercises.

In the lectures, the theory  will be applied to different examples.
 
In the part devoted to  exercises, the student will carry out independently exercises proposed by the teacher. The exercises  will be corrected in the classroom by the teacher.

LESSONS START

22 February 2021

ORARI

L'orario di tutti gli insegnamenti è consultabile su EasyAcademy.

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HYDRODYNAMICS

Exam description

The exam consists of a first written part (1 exercise) and an oral part.

The written test will be corrected immediately after the conclusion of the same.

In order to access the oral part it is necessary to have passed the written test.

The oral part will take place immediately after the correction and passing the written test.

It is not possible to repeat the exam in the session following the one in which the student did not pass.

In order to take the exam of the course the student must have passed the exams of "GENERAL PHYSICS" and "CALCULUS I

Assessment methods

The written part of the exam is aimed at ascertaining that the student has acquired the necessary tools to solve simple problems of Hydrodynamics. The oral part is aimed at verifying the student's understanding of the course topics.

Exam schedule