Educational guide
IDENTIFYING DATA 2024_25
Subject FLUID MECHANICS Code 00710311
Study programme
0710 - GRADO EN INGENIERÍA AEROESPACIAL
Descriptors Credit. Type Year Period
6 Compulsory Second First
Language
Aleman
Castellano
Ingles
Prerequisites
Department QUIMICA Y FISICA APLICADAS
Coordinador
ZORITA CALVO , MIGUEL
E-mail mzorc@unileon.es
egaror@unileon.es
Lecturers
GARCÍA ORTEGA , EDUARDO
ZORITA CALVO , MIGUEL
Web http://www.youtube.com/@miguelzorita
General description This course deepens topics of Classical Newtonian mechanics previously introduced in first semester Physics courses. The focus is on statics, kinematics and dynamics of inviscid and viscous fluids
Tribunales de Revisión
Tribunal titular
Cargo Departamento Profesor
Presidente QUIMICA Y FISICA APLICADAS FRAILE LAIZ , ROBERTO
Secretario QUIMICA Y FISICA APLICADAS MARCOS MENENDEZ , JOSE LUIS
Vocal QUIMICA Y FISICA APLICADAS BURDALO SALCEDO , GABRIEL
Tribunal suplente
Cargo Departamento Profesor
Presidente QUIMICA Y FISICA APLICADAS CALVO GORDALIZA , ANA ISABEL
Secretario QUIMICA Y FISICA APLICADAS LOPEZ CAMPANO , LAURA
Vocal QUIMICA Y FISICA APLICADAS CEPEDA RIAÑO , JESUS RAMIRO

Competencias
Code  
A17700
A17702
A17703
B5474
B5475
B5476
C1 CMECES1 That students have demonstrated possession and understanding of knowledge in an area of study that is based on general secondary education, and is usually found at a level that, although supported by advanced textbooks, also includes some aspects that involve knowledge from the cutting edge of their field of study
C2 CMECES2 That students know how to apply their knowledge to their work or vocation in a professional manner and possess the skills that are usually demonstrated through the development and defense of arguments and the resolution of problems within their area of study.

Learning aims
Competences
A17700
A17702
A17703
 B5474
B5475
B5476
 C1
C2
A17700
A17702
A17703
 B5474
B5475
B5476
 C1
C2

Contents
Topic Sub-topic
FLUID MECHANICS Topic 1: Introduction. Molecular, Lagrangian and Eulerian description. Continuum hypothesis. Concept of scalar and vector fields. Volume and surface forces. Incompressible fluids and flows. Ideal and real fluids: Viscosity. Newtonian fluids. Laminar and turbulent flows. Two-dimensional and axisymmetric flows.

Topic 2: Case studies. Flows in channels and tubes. Motion of bodies in fluids: Drag and Lift. Rockets. Oscillations. Fluid statics. Geometric and dynamic similarity. Reynolds number. Buckingham's Pi Theorem.

Topic 3: Fluid kinematics and visualization. Streamlines, pathlines and streaklines. Flow and circulation. Gradient, divergence and rotational. Gauss, Stokes and Helmholtz theorems. Material derivative and acceleration. Vorticity. Motion and deformation rate tensor.

Topic 4: Transport phenomena. Reynolds Transport Theorem. Transport by advection-convection and by diffusion-conduction. Conservation of mass and the Continuity Equation. Stream function. Potential flow.

Topic 5: Conservation of linear momentum. Force balance and stress tensor. Real and ideal fluids: Navier-Stokes and Euler equations. Dynamic similarity and Reynolds number. Stokes flow. Bernoulli equation. Conservation of angular momentum and energy.

Planning
Methodologies  ::  Tests
  Class hours Hours outside the classroom Total hours
Problem solving, classroom exercises 9 30 39
 
Practicals using information and communication technologies (ICTs) in computer rooms 21 30 51
 
Lecture 24 30 54
 
Mixed tests 6 0 6
 
(*)The information in the planning table is for guidance only and does not take into account the heterogeneity of the students.

Methodologies
Methodologies   ::  
  Description
Problem solving, classroom exercises The problem and exercise classes are oriented to the development of the students' ability to apply the knowledge obtained in the theoretical classes, promote their capacity for analysis, critical reasoning, exchange of information and communication of the results. Exercises will be proposed to be solved by the students during the classes.
Practicals using information and communication technologies (ICTs) in computer rooms The professor will train and guide the students in the application of simulation and visualization tools necessary for the practical resolution of problems, encouraging at all times critical reasoning and the exchange of information between working groups. Exercises will be proposed and students will try to solve them, thus acquiring skills in the use of the necessary tools for problem solving.
Lecture In the theoretical and practical work sessions in the classroom, the professor will introduce, by means of theoretical explanations and illustrative examples, the concepts, results and methods of the subject. Their relation with other branches of Physics, their development and their application to the resolution of concrete problems will be shown. The student will have to prepare the theoretical part with the help of the bibliography and resources indicated by the professor.

Personalized attention
 
Problem solving, classroom exercises
Practicals using information and communication technologies (ICTs) in computer rooms
Lecture
Description
The student can count on the teacher's help to resolve any doubts that may arise throughout the course through individual tutorials. The tutorials are voluntary and will take place preferably through the corresponding forum in the Moodle platform of the course or in person in the office indicated by the teacher within his tutoring schedule, in which case the student must request the teacher in advance and with sufficient time via e-mail.

Assessment
  Description Qualification
Problem solving, classroom exercises Evaluation by means of a written exam at the end of the semester.
(see other comments) 		35 %
(see other comments)
Practicals using information and communication technologies (ICTs) in computer rooms Evaluation by means of exercises carried out throughout the semester.
(see other comments) 		30 %
(see other comments)
Lecture Evaluation by means of a written exam at the end of the semester.
(see other comments) 		35 %
(see other comments)
 
Other comments and second call
The assessment of the student's knowledge will be carried out as described in detail below:

There will be a written exam at the end of the semester, in each of the calls, which will consist of a clear and reasoned answer to different questions. In this exam the student will have to demonstrate the understanding of the fundamental concepts of the subject and his capacity to apply these concepts to the resolution of problems.

The student will be asked to solve different questions and exercises during any of the theoretical or practical classes throughout the semester. In them the student will have to show his capacity to reason and solve problems, especially by means of computer models and simulation. These exercises must be carried out in the classroom during the corresponding class.

In order to pass the course, it is required to obtain a minimum grade in the final written exam of 5 points out of 10. If the score of the written exam does not reach that minimum grade then the student will not have passed the exam and will obtain a numerical grade equal to the score of that exam.

If the grade of the final written exam is equal or higher than 5 points out of 10, then the student will have passed the course and will have at least a grade of 5 points in the global certification. The overall numerical grade of the call will be higher than 5 points if the weighting by 70% of the grade of the written exam and 30% of the grade of the exercises performed in class results in a score higher than 5.

The grade obtained in the exercises performed during the classes throughout the semester will be maintained and applied with the same criteria in the final evaluation of the second call, but not for subsequent courses.

During the development of the tests and exercises, only the material and aids explicitly permitted by the professor in advance may be used. In particular, during the course of the exams, the possession and use of unauthorized mobile and/or electronic devices is strictly forbidden. The simple possession of such devices, as well as unauthorized notes, books, folders or other materials during the evaluation tests, will result in the immediate withdrawal and expulsion from the exam and the grade of 0 in the subject, transferring the incident to the corresponding Academic Authority to carry out the appropriate regulatory actions provided for in the regulations of the University of León.

Sources of information
Access to Recommended Bibliography in the Catalog ULE

Basic J.R. Taylor, Classical Mechanics, University Science Books, 2005
E.J. Shaughnessy, I.M. Katz, J.P. Schaffer, Introduction to Fluid Mechanics, Oxford University Press, 2005
D.J. Tritton, Physical Fluid Dynamics, Oxford University Press, 1988

– Wolfram Mathematica and Wolfram Language Resources: https://www.wolfram.com/support/learn

– Mecánica de Fluidos: https://www.youtube.com/user/miguelzorita/playlists

– MIT STEM Concept Videos: https://ocw.mit.edu/resources/res-tll-004-stem-concept-videos-fall-2013/videos/
Complementary F. M. White, Fluid Mechanics, McGraw-Hill, 2015
P.J. Kundu, I.M. Cohen, D.R. Dowling, Fluid Mechanics, Academic Press, 2016
M.L. Boas, Mathematical Methods in the Physical Sciences, John Wiley & Sons, 2006
– MIT 8.01 Physics I (Classical Mechanics): https://www.youtube.com/playlist?list=PLUdYlQf0_sSsb2tNcA3gtgOt8LGH6tJbr

Recommendations


Subjects that it is recommended to have taken before
LINEAR ALGEBRA AND GEOMETRY / 00710301
DIFFERENTIAL AND INTEGRAL CALCULUS / 00710302
PHYSICAL FUNDAMENTALS / 00710303
NUMERICAL AND STATISTICAL METHODS / 00710306
EXTENSION OF PHYSICS / 00710307
INFORMATICS / 00710309
 
Other comments
Previous computer skills is highly recommended. Regular attendance and active participation in the classes is essential. Equally important is the previous preparation of the classes and the study of the subject matter.