# Fluid Dynamics I

## Objectives

• ###### Learn the main concepts of the Fluid Mechanics.
• Learn and know how to apply the principles of hydrostátics, conservation of the mass, momentum, angular momentum and energy in the integral and in the differential formulation.

## General characterization

3658

6.0

##### Responsible teacher

Diana Filipa da Conceição Vieira, Luís Miguel Chagas da Costa Gil

Weekly - 5

Total - 76

Português

### Prerequisites

The knowledge of the subjects taught in Physics I, Mathematical Analysis I, II and III and Applied Mechanics I.

### Bibliography

-J.M.P. Conde, "Introdução à dinâmica dos Fluidos".

-Oliveira, L. A. e Lopes, A. G., “Mecânica dos Fluidos”, LIDEL, 5ª ed., 2016.

-White, F. M., “Mecânica dos Fluidos”, McGraw-Hill, 4ª ed., 2002.

### Teaching method

Lectures and problem-solving sessions.

Laboratory sessions.

### Evaluation method

1.The evaluation consists of 2 tests and 1 laboratory work

2. The student is admitted to the final exam if he has carried out the laboratory work on the scheduled dates and obtained a positive grade in the report. The admission to exam and grade obtained is also valid for the following year. The student who has done the laboratory work in the previous year can do it again this year, revalidating the admission to exam and obtaining a new grade in it.

3. If the average  classification obtained in the two tests is greater than or equal to 9 values, the final grade is obtained by the formula: 0.15TL + 0.85T. Being TL the laboratory work grade and T the weighted average of the tests (or the exame grade). If the average of the classification obtained in the two tests is less than 9 values, the final grade is obtained by the formula: T = 0.5 (T1 + T2)

4. The average of the tests is: T = 0.5 (T1 + T2), where T1 and T2 are the first and second tests grades, respectively.

5. Students must sign up at CLIP for the tests and laboratory work.

6. If the final grade obtained by the student is higher than 16, the student may have to take a supplementary oral test to defend the grade (will be informed on the grade listing).

7. In the evaluation tests (tests or exam) is mandatory that students are accompanied his citizen card. Students should carry only a calculator, white sheets and blue / black pen. The calculator can only be a basic scientific calculator. Are not allowed calculators with alphanumeric memory. It is expressly forbidden the use mobile phones during the tests/exam. Failure to comply with this section is assumed to be fraudulent act.

## Subject matter

1-Fluid concept. The fluid as continuum.

2-Forces acting on a fluid. Fundamental equation of hydrostatic. Manometry. Hydrostatic forces on surfaces and buoyancy. Aerostatic.

3-Cinematic description of flows. Velocity and aceleration fields. Deformations and rotation. Stream function.

4-Integral relations for a control volume. Flow rate concept. Reynolds transport theorem. Conservation of mass, momentum and angular momentum. Bernoulli eq..

5-Differential equations of conservation of mass and linear momentum. Viscous-stress tensor. Navier‑Stokes equations for Newtonian fluids and Euler’s equations for inviscid flows. Non-dimensionalization of these equations.

6-Turbulence. Reynolds decomposition and Reynolds equations.

## Programs

Programs where the course is taught: