2025
Fluid Mechanics
Name: Fluid Mechanics
Code: FIS13045L
6 ECTS
Duration: 15 weeks/156 hours
Scientific Area:
Mechanical Engineering
Teaching languages: Portuguese
Languages of tutoring support: Portuguese
Regime de Frequência: Presencial
Sustainable Development Goals
Learning Goals
This Curricular Unit aims to present the physical principles of Fluid Mechanics. The aim is to develop skills and intuition from a theoretical point of view to understand the underlying physical phenomena and from a practical point of view to be able to solve applied problems. It is the principal goal of this CU the comprehension of the concepts, principles, laws, observations and models of fluids at rest and in motion. Those aim at providing the basis for the understanding of the fluid flow behavior and for the engineering design in fluid systems. At the end of the CU, the student should have acquired skills in the formulation of mass, energy and momentum balances to determine interactions resulting from flows in engineered and natural systems. Also, the student should have learnt the use of new methodologies for solving practical problems, articulate scientific and technological knowledge from an interdisciplinary perspective, and be able to work individually and in group.
Contents
1. Introductory concepts: fluid properties, continuum assumption, stresses, viscosity, Newtonian and non-Newtonian fluids, flow classification.
2. Fluid statics: hydrostatic equation, hydrostatic pressure distribution, hydrostatic force, hydrostatic moment, buoyancy and Archimedes principle, equilibrium and stability of immersed bodies.
3. Fluid kinematics: velocity field, Euler and Lagrange description, streamline, streakline and pathline, acceleration of a fluid particle.
4. Volume control analysis, general one-variable transport equation, Reynolds transport theorem, balance laws of mass, linear and angular momentum, and energy in integral form.
5. Differential forms of continuity, Navier-Stokes and energy equations.
6. Simple analytic solutions of the Navier-Stokes equations.
7. Similitude and Modelling. The Pi Theorem. Physical similarity and model testing.
8. Pipe and ducts flow: head loss, turbulence, flow in multiple path pipe and duct systems, Moody diagram.
2. Fluid statics: hydrostatic equation, hydrostatic pressure distribution, hydrostatic force, hydrostatic moment, buoyancy and Archimedes principle, equilibrium and stability of immersed bodies.
3. Fluid kinematics: velocity field, Euler and Lagrange description, streamline, streakline and pathline, acceleration of a fluid particle.
4. Volume control analysis, general one-variable transport equation, Reynolds transport theorem, balance laws of mass, linear and angular momentum, and energy in integral form.
5. Differential forms of continuity, Navier-Stokes and energy equations.
6. Simple analytic solutions of the Navier-Stokes equations.
7. Similitude and Modelling. The Pi Theorem. Physical similarity and model testing.
8. Pipe and ducts flow: head loss, turbulence, flow in multiple path pipe and duct systems, Moody diagram.
Teaching Methods
The curricular unit is taught through theoretical classes, theoretical-practical classes and laboratory classes. In theoretical classes, the concepts and principles of the different subjects covered are presented. Theoretical-practical classes are used to consolidate students' knowledge through the practical application of the different concepts covered throughout the course. Laboratory classes are dedicated to carrying out laboratory experiments.
Assessment
The assessment method consists of the following components:
L1 and L2 - Group laboratory activities carried out throughout the semester. Mandatory submission of a written report is required for two of these specific activities, and the respective grades will correspond to L1 and L2.
Q ? Short quizzes taken individually during laboratory classes. The grade is the simple arithmetic mean of the 4 best quizzes completed.
T1 and T2 ? Tests.
E ? Final exam.
If the student chooses the continuous assessment regime, the final grade [NF] will be calculated as follows:
NF = 0.15 x (L1+L2)/2 + 0.15 x Q + 0.7 x (T1+T2)/2
If the student chooses the final assessment regime, the final grade [NF] will be calculated as follows:
NF = 0.15 x (L1+L2)/2 + 0.15 x Q + 0.7 x E
Minimum grades for L1 and L2: 9.5. Remaining assessment elements: 8.5.
If deemed necessary to assess the extent to which the student has developed the knowledge and skills established for the course unit, the teaching team may summon the student for an oral exam, in accordance with paragraph 13 of Article 110 of the Academic Regulations of the University of Évora, ensuring the conditions provided for in paragraph 4 of Article 116 and paragraph 1 of Article 118 of the same Regulations. The oral exam will account for 100% of the final grade of the course unit.
L1 and L2 - Group laboratory activities carried out throughout the semester. Mandatory submission of a written report is required for two of these specific activities, and the respective grades will correspond to L1 and L2.
Q ? Short quizzes taken individually during laboratory classes. The grade is the simple arithmetic mean of the 4 best quizzes completed.
T1 and T2 ? Tests.
E ? Final exam.
If the student chooses the continuous assessment regime, the final grade [NF] will be calculated as follows:
NF = 0.15 x (L1+L2)/2 + 0.15 x Q + 0.7 x (T1+T2)/2
If the student chooses the final assessment regime, the final grade [NF] will be calculated as follows:
NF = 0.15 x (L1+L2)/2 + 0.15 x Q + 0.7 x E
Minimum grades for L1 and L2: 9.5. Remaining assessment elements: 8.5.
If deemed necessary to assess the extent to which the student has developed the knowledge and skills established for the course unit, the teaching team may summon the student for an oral exam, in accordance with paragraph 13 of Article 110 of the Academic Regulations of the University of Évora, ensuring the conditions provided for in paragraph 4 of Article 116 and paragraph 1 of Article 118 of the same Regulations. The oral exam will account for 100% of the final grade of the course unit.
Teaching Staff
- Gonçalo Nuno Guerreiro de Jesus Silva [responsible]
