Fluid Mechanics I

Code:

EM0029

Acronym:

MF I

Keywords
Classification	Keyword
OFICIAL	Heat Transfer and Fluid

Instance: 2015/2016 - 2S

Active?	Yes
Responsible unit:	Fluids and Energy Division
Course/CS Responsible:	Master in Mechanical Engineering

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
MIEM	338	Syllabus since 2006/2007	2	-	6	58,5	162

Teaching language

Portuguese

Objectives

To know the fundamentals of Fluid Mechanics, including the characterization of fluids and its differences comparing to solids. To know the fundamental laws of fluids at rest, and its interaction with confining surfaces.

To learn the principles of mass, momentum and energy conservation apllied to fluid flows, both in its integral and differential formulations. To learn and to apply the dimentional analysis and similitude principles, regarding the experimental study of Fluid Mechanics.

Learning outcomes and competences

Working method

Presencial

Pre-requirements (prior knowledge) and co-requirements (common knowledge)

Program

1. Introduction Scope and significance of Fluid Mechanics Concept of fluid Newtonian and non-newtonian fluids Newton’s law of viscosity The most important quantities and variables in Fluid Mechanics Dimensional homogeneity

2. Fluid Statics Balance of forces in a fluid at rest Hydrostatic equation Manometry Absolute pressure and relative pressure Atmospheric pressure Pressure measurement Forces on immersed surfaces Centre of pressure Buoyancy

3. Fluid Kinematics Concept of flow Properties of velocity fields Streamlines and trajectories Visualization and techniques of flow visualization Langrangian and Eulerian description Concept of discharge and average velocity

4. Fluid Dynamics (non-viscous fluids) Newton’s 2nd law applied to a fluid particle Integration in a flow line Euler’s and Bernoulli’s equations How to apply Bernoulli’s equation Dynamic pressure and total pressure Stagnation point Energy line Piezometric head Pitot and Prandtl tubes. Velocity measurement Velocity profiles and average velocity profiles Newton’s second law along the streamline direction Pressure in a free-jet-nozzle

5. Fluid Dynamics (integral formulation) Reynolds’ transport theorem Equation of mass conservation Examples Conservation of mass equation, linear equation of motion (linear and angular) and energy equation Examples

6. Fluid Dynamics (differential formulation) Mass conservation and quantity of movement (Navier Stokes’ equations) Frontier conditions Examples Couete and Hagen-Poiseuille flow

7. Dimensional analysis and similarity Dimensionless: functional dependence Buckingham’s PI theorem Dimensionless: selection of variables and reference dimensions The unique nature of Pi Interpretation of the most common dimensionless groups in Fluid Mechanics Similarity and modulation Conditions of similarity Elementary dimensionless equations in Fluid Mechanics

Mandatory literature

Bruce R. Munson, ... [et al.]; Fluid Mechanics. ISBN: 978-1-118-31867-6

Complementary Bibliography

Frank M. White; Fluid mechanics. ISBN: 978-0-07-128645-9
Ludwig Prandtl, O.G. Tietjens, L. Rosenhead (Translator) ; Fundamentals of Hydro- and Aeromechanics , Dover Publications , 1957. ISBN: ISBN: 0-486-60374-1
G. M. Homsy , H. Aref , K. S. Breuer , S. Hochgreb , J. R. Koseff , B. R. Munson, K. G. Powell , C. R. Robertson , S. T. Thoroddsen; Multimedia Fluid Mechanics - Multilingual Version CD-ROM, Cambridge University Press, 2003. ISBN: ISBN-10: 0521604761 | ISBN-13: 9780521604765
Bird, R. Byron; Transport Phenomena. ISBN: 0-471-07395-4
G.A. Tokaty; A History of the Philosophy of Fluid Mechanics , Dover Publications, 1994. ISBN: 0-486-68103-3

Teaching methods and learning activities

The course is organized into three theoretical-practical classes of 1.5h per week. In each class theoretical concepts are exposed and followed by the application of practical cases. 

Evaluation Type

Distributed evaluation without final exam

Assessment Components

Designation	Weight (%)
Exame	60,00
Teste	40,00
Total:	100,00

Amount of time allocated to each course unit

Designation	Time (hours)
Estudo autónomo	108,00
Frequência das aulas	54,00
Total:	162,00

Eligibility for exams

The student cannot exceed the absence limit allowed (25% of the practical classes), according to the current rules.

Calculation formula of final grade

Assessment is through 3 elements of evaluation:
1) a test in the moodle platform with a weight of 20% for the final mark;
2) a second test in the moodle platform with a weight of 20% for the final mark;
3) a final written exam with a weight of 60% for the final mark.

Resit exam has two parts: a moodle test with a weight of 40% for the final mark and a written exam with a weight of 60%.

Special assessment (TE, DA, ...)

Same format as the resit exam,

Classification improvement

Classification improvement exam will take place at the same time as the resit exam.

Observations

Language of instruction: Portuguese