Fluid Mechanic

Code:

EBE0011

Acronym:

MFLU

Keywords
Classification	Keyword
OFICIAL	Engineering Sciences

Instance: 2011/2012 - 1S

Active?	Yes
Responsible unit:	Department of Chemical Engineering
Course/CS Responsible:	Master in Bioengineering

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
MIB	93	Syllabus	2	-	5	42	135

Teaching language

Portuguese

Objectives

It is expected that students develop a creative and critical thinking in the resolution of fluid mechanics problems, with particular emphasis on Bioengineering applications.

Program

1. Introduction and fundamental concepts
Fluids, Fluid Mechanics and Bioengineering; Forces acting on a fluid element; Continuum and its limitations in biological systems; Newton’s law of viscosity; Dimensional homogeneity; Dimensions and unit systems; Newtonian and non-Newtonian fluids

2. Hydrostatics
Pressure on a fluid element; Absolute and relative pressure; Hydrostatic Fundamental Equation; Manometry; Hydrostatic paradox; Forces on immersed surfaces; Impulsion; Relative equilibrium; Applications

3. Fluid Kinematics
Eulerian and Langrangian description of a flow; Velocity and pressure fields; flow visualization; Velocity and acceleration vectors along a streamline

4. Bernoulli equation
Bernoulli equation along a streamline; Applications: free jets, flow meters (Venturi meter, orifice meter and weirs) and velocity meters (Pitot’s tube – examples in nature)

5. Dimensional analysis
Buckingham pi theorem; Common dimensionless groups in Fluid Mechanics; Theory of models; kinematic, dynamic and geometric similarity. Applications

6. Finite control volume analysis
Continuity equation; Energy equation; Linear equation of motion; Applications

7. Laminar and turbulent flows
Laminar flow; Hagen-Poiseuille equation; Interior flows in organisms; Efficient bifurcation in blood vessels; Murray’s law
Turbulent flow: Reynolds’ experiment; fundamental concepts; velocity profile

8. Flow in pipes and pumping systems
Head loss in pipes; Moody diagram; Local head loss; Equivalent length; Head loss in non-circular pipes; Equivalent diameter; Flow in multiple pipes; Pumping systems; Pumping dimensioning; Calculation of pumping power; characteristic curve and installation curve; Operating point; Applications

9. Flow past immersed bodies
Qualitative interpretation and simple mathematical characterization; Pipe entry length; Boundary layer development; Drag and lift forces; Terminal velocity; Applications

10. Non-Newtonian fluids
Constitutive equations; Newtonian fluid model; Viscoelastic fluids; Elementary concepts of rheometry; Material functions; Blood rheology.

Mandatory literature

Bruce R. Munson... [et al.]; Fundamentals of fluid mechanics. ISBN: 978-0-470-39881-4
J.M. Campos; Notas para o Estudo da Mecânica de Fluidos

Teaching methods and learning activities

The theoretical concepts will be presented during theoretical-practical classes (twice a week, 1.5 h each), where some examples of application (and demonstrations) will be presented and discussed.
Students are advised to solve problems at home and the professor will be available to clarify students’ doubts.

Evaluation Type

Distributed evaluation with final exam

Assessment Components

Description	Type	Time (hours)	Weight (%)	End date
Attendance (estimated)	Participação presencial	42,00
	Total:	-	0,00

Eligibility for exams

Attendance to classes, in accordance with the regulations of FEUP.

Calculation formula of final grade

The evaluation of this course can be done in two tests or in a final exam:

Test 1 - To take place on late October/early November, 2011 (date to be announced in advance).

Test 2 - Test about the program not covered by Test 1, to be done by students who have a mark above 8 (in 20) in Test 1. Test 2 will take place at the same date and location of the final exam (normal season).

The final mark (CF) is calculated by:

CF = (NT1 + NT2) / 2

NT1 and NT2 are the marks on Tests 1 and 2, respectively (range 0-20).

If the classification obtained in Test 1 is less than 8 (in 20), instead of Test 2 the student will do a final exam (at the regular season), which will cover all the topics taught. In this case the final mark will be the classification obtained in the exam.

Students with marks obtained in Test 1 above 8 (in 20) are given the option to do the final exam instead of the normal Test 2, covering all the topics taught in the discipline. In this case the final mark will be that obtained in the exam.

The exam of the special season covers the full program taught on the discipline.

Examinations or Special Assignments

n.a.

Special assessment (TE, DA, ...)

Final exam.

Classification improvement

Final exam.