To study Fluid Mechanics, it is recomended to have passed the subjects: Algebra, Calculus I, Calculus II, Mathematical Methods, Physics I, Physics II, Chemistry and Technical Thermodynamics and Heat Transfer.

Fluid Mechanics course, as part of the Thermofluid Dynamics subject, that covers the initial stage of introduction to fluid mechanics phenomena, coming to propose basic applications that ensure the handling of engineering tools in this field.

Course competences
Code	Description
CA01	Ability to carry out bibliographic searches, use databases and other sources of information for its application in tasks related to Technical Aeronautical Engineering.
CA02	Ability to efficiently design experimentation procedures, interpret the data obtained and specify valid conclusions in the field of Aeronautical Technical Engineering.
CA03	Ability to autonomously select and carry out the appropriate experimental procedure, operating the equipment correctly, in the analysis of phenomena within the scope of Engineering.
CA04	Ability to select advanced tools and techniques and their application in the field of Aeronautical Technical Engineering.
CA05	Knowledge of the methods, techniques and tools as well as their limitations in the application for the resolution of problems typical of Aeronautical Technical Engineering.
CA06	Ability to identify and assess the effects of any solution in the field of Aeronautical Technical Engineering within a broad and global context and the ability to interrelate the solution to an engineering problem with other variables beyond the technological field, which must be considered.
CB02	Apply their knowledge to their job or vocation in a professional manner and show that they have the competences to construct and justify arguments and solve problems within their subject area.
CB03	Be able to gather and process relevant information (usually within their subject area) to give opinions, including reflections on relevant social, scientific or ethical issues.
CB04	Transmit information, ideas, problems and solutions for both specialist and non-specialist audiences.
CB05	Have developed the necessary learning abilities to carry on studying autonomously
CE02	Understanding and command of the basic concepts of the general laws of mechanics, thermodynamics, fields and waves and electromagnetism and their application to solve engineering problems.
CE08	knowledge of the thermodynamic cycles that generate mechanical power and thrust.
CE10	Knowledge of flight dynamics based on aerodynamic forces and the role of the different variables involved in the phenomenon of flight
CE15	Knowledge applied to Engineering of: The principles of the mechanics of the continuous medium and the techniques for calculating its response.
CE16	Knowledge applied to Engineering of: The concepts and laws that govern the processes of energy transfer, the movement of fluids, the mechanisms of heat transmission and the change of matter and their role in the analysis of the main systems aerospace propulsion.
CE18	Knowledge applied to Engineering of: The fundamentals of fluid mechanics; the basic principles of flight control and automation; the main characteristics and physical and mechanical properties of materials.
CE19	Applied knowledge of: materials science and technology; mechanics and thermodynamics; fluid mechanics; aerodynamics and mechanics of flight; air traffic and navigation systems; aerospace technology; structure theory; air Transport; economy and production; Projects; environmental impact.
CE21	Knowledge applied to Engineering of: The fundamentals of fluid mechanics that describe flow in any regime and determine pressure distributions and aerodynamic forces.
CE25	Knowledge applied to Engineering of: The methods of calculation and development of defense materials and systems; the management of experimental techniques, equipment and measuring instruments typical of the discipline; the numerical simulation of the most significant physical-mathematical processes; inspection, quality control and fault detection techniques; the most appropriate repair methods and techniques.
CG01	Capacity for the design, development and management in the field of aeronautical engineering that have as their object, in accordance with the knowledge acquired as established in section 5 of order CIN/308/2009, aerospace vehicles, propulsion systems aerospace, aerospace materials, airport infrastructures, air navigation infrastructures and any space, traffic and air transport management system.
CG02	Planning, drafting, direction and management of projects, calculation and manufacturing in the field of aeronautical engineering that have as their object, in accordance with the knowledge acquired as established in section 5 of order CIN/308/2009, aerospace vehicles , aerospace propulsion systems, aerospace materials, airport infrastructures, air navigation infrastructures and any space, traffic and air transport management system.
CT03	Correct use of oral and written communication.

Course learning outcomes
Description
Knowledge of the phenomenology associated with fluids and applicable experimental measurement techniques.
Knowledge of the principles of fluid mechanics to evaluate their behavior
Additional outcomes
Not established.

• Unit 1: Vectors and cartesian tensors.
  • Unit 1.1: Matrices and linear transformations.
  • Unit 1.2: Cartesian tensors.
• Unit 2: Introduction to Fluid Mechanics.
  • Unit 2.1: Definition of fluid. Continuum hypothesis.
  • Unit 2.2: Volume and surface forces.
  • Unit 2.3: Stress tensor. Definition of pressure.
• Unit 3: Hydrostatics
  • Unit 3.1: Mechanical equilibrium in a fluid. Hydrostatic equation. International Standard Atmosphere (ISA). Pressure measurements. Hydrostability.
  • Unit 3.2: Hydrostatic forces. Buoyancy theory.
  • Unit 3.3: Fluid in rigid body motion.
• Unit 4: Integral relations for a control volume.
  • Unit 4.1: Flow clasification.
  • Unit 4.2: Kinematics. Pathlines, streamlines and streaklines.
  • Unit 4.3: Reynolds transport theorem.
  • Unit 4.4: Equation of continuity.
  • Unit 4.5: Conservation of momentum. Viscous tensor. Non-inertial frame of reference.
  • Unit 4.6: Conservation of angular momentum.
  • Unit 4.7: Conservation of energy. Heat transfer. Stagnation conditions.
  • Unit 4.8: Bernoulli equations.
  • Unit 4.9: One dimensional flow.
• Unit 5: Diferential relation for a fluid particle.
  • Unit 5.1: Reynolds transport theorem for an infinitesimal control volume.
  • Unit 5.2: Differential conservation equations. Navier-Stokes equations. Euler equations. Boundary conditions. Boundary layer. Shock and rarefaction waves.
  • Unit 5.3: Viscous laminar flow. Couette flow. Poiseuille flow. Lubrication theory.
• Unit 6: Dimensional analysis.
  • Unit 6.1: Dimensionless quantity.
  • Unit 6.2: Fundamental units.
  • Unit 6.3: Buckingham Pi theorem.
  • Unit 6.4: Dimensionless numbers in Fluid Mechanics.
  • Unit 6.5: Similarity.
  • Unit 6.6: Aerodynamics coefficients. Pipe flow. Turbomachinery.
  • Unit 6.7: Turbulence.
• Unit 7: Potential flow.
  • Unit 7.1: Pressure coefficient. Circulation. Steamline function. Velocity potential.
  • Unit 7.2: Laplace equation and solutions.
  • Unit 7.3: Flow over a semi-infinite body. Rankine oval. Flow over a cylinder. D'Alembert paradox.
  • Unit 7.4: Kutta-Joukowski theorem. Magnus effect.
  • Unit 7.5: Vorticity equation.
• Unit 8: Laboratory
  • Unit 8.1: Venturi effect. Gyroscopic instruments. Wind tunnels.
  • Unit 8.2: Pitot tube. Pitot-static system. Other instruments to measure flow velocity.
  • Unit 8.3: Examples of phenomena and devices in aerospace engineering.
  • Unit 8.4: Introduction to Computational Fluid Dynamics (CFD).

Training Activity	Methodology	Related Competences (only degrees before RD 822/2021)	ECTS	Hours	As	Com	Description
Class Attendance (theory) [ON-SITE]	Lectures	CA01 CA02 CA03 CA04 CA05 CA06 CB02 CB03 CB04 CB05 CE02 CE08 CE10 CE15 CE16 CE18 CE19 CE21 CE25 CG01 CG02 CT03	1.64	41	N	N	Development in the classroom of the theoretical contents.
Problem solving and/or case studies [ON-SITE]	Project/Problem Based Learning (PBL)	CA01 CA02 CA03 CA04 CA05 CA06 CB03 CB04 CB05 CE02 CE08 CE10 CE15 CE16 CE18 CE19 CE21 CE25 CG01 CG02 CT03	0.36	9	Y	N	Resolution of exercises and problems in the classroom in a collective way.
Laboratory practice or sessions [ON-SITE]	Practical or hands-on activities	CA01 CA02 CA03 CA04 CA05 CA06 CB03 CB04 CB05 CE02 CE08 CE10 CE15 CE16 CE18 CE19 CE21 CE25 CG01 CG02 CT03	0.24	6	Y	N	Laboratory experiments where the student developes the knowledge acquired in the theoretical classes through experimentation.
Writing of reports or projects [OFF-SITE]	Self-study	CA01 CA02 CA03 CA04 CA05 CA06 CB03 CB04 CB05 CE02 CE08 CE10 CE15 CE16 CE18 CE19 CE21 CE25 CG01 CG02 CT03	0.72	18	Y	Y	Continuining the work begun in laboratory, students must cooperatively prepare a report where they analyze and show the results and conclusions of their experiments. The student who obtains less than 40% of the maximum mark will be able to recover this part in the final exam.
Study and Exam Preparation [OFF-SITE]	Self-study	CA01 CA02 CA03 CA04 CA05 CA06 CB03 CB04 CB05 CE02 CE08 CE10 CE15 CE16 CE18 CE19 CE21 CE25 CG01 CG02 CT03	2.88	72	N	N	Self-study of theory and problems, from which the student parctices and fixes the knowledge learned in classes in the classroom.
Progress test [ON-SITE]	Assessment tests	CA01 CA02 CA03 CA04 CA05 CA06 CB03 CB04 CB05 CE02 CE08 CE10 CE15 CE16 CE18 CE19 CE21 CE25 CG01 CG02 CT03	0.06	1.5	Y	N	Mid-term written test (first one) to eliminate the subject, which contains problems and/or theoretical questions corresponding approximately to the first half of the course. The student who obtains less than 40% of the maximum mark will be able to pass this part in the final exam.
Final test [ON-SITE]	Assessment tests	CA01 CA02 CA03 CA04 CA05 CA06 CB03 CB04 CB05 CE02 CE08 CE10 CE15 CE16 CE18 CE19 CE21 CE25 CG01 CG02 CT03	0.1	2.5	Y	Y	Final test with problems and/or theoretical questions referring to the whole course.
Total:			6	150
Total credits of in-class work: 2.4			Total class time hours: 60
Total credits of out of class work: 3.6			Total hours of out of class work: 90

As: Assessable training activity
Com: Training activity of compulsory overcoming (It will be essential to overcome both continuous and non-continuous assessment).

Evaluation System	Continuous assessment	Non-continuous evaluation *	Description
Final test	50.00%	90.00%	C: it does not apply NC: final test (with the contents of all the partial tests)
Practicum and practical activities reports assessment	10.00%	10.00%	C: realization of laboratory experiments and delivery of a report NC: this part will be evaluated in the final test through questions related to the laboratory experiences.
Mid-term tests	40.00%	0.00%	C: mid-term tests with contents of the course NC: it does not apply
Total:	100.00%	100.00%

Not related to the syllabus/contents
Hours	hours
Writing of reports or projects [AUTÓNOMA][Self-study]	18
Study and Exam Preparation [AUTÓNOMA][Self-study]	72
Progress test [PRESENCIAL][Assessment tests]	1.5
Final test [PRESENCIAL][Assessment tests]	2.5

Unit 1 (de 8): Vectors and cartesian tensors.
Activities	Hours
Class Attendance (theory) [PRESENCIAL][Lectures]	2

Unit 2 (de 8): Introduction to Fluid Mechanics.
Activities	Hours
Class Attendance (theory) [PRESENCIAL][Lectures]	4

Unit 3 (de 8): Hydrostatics
Activities	Hours
Class Attendance (theory) [PRESENCIAL][Lectures]	6
Problem solving and/or case studies [PRESENCIAL][Project/Problem Based Learning (PBL)]	2

Unit 4 (de 8): Integral relations for a control volume.
Activities	Hours
Class Attendance (theory) [PRESENCIAL][Lectures]	8
Problem solving and/or case studies [PRESENCIAL][Project/Problem Based Learning (PBL)]	2

Unit 5 (de 8): Diferential relation for a fluid particle.
Activities	Hours
Class Attendance (theory) [PRESENCIAL][Lectures]	8
Problem solving and/or case studies [PRESENCIAL][Project/Problem Based Learning (PBL)]	2

Unit 6 (de 8): Dimensional analysis.
Activities	Hours
Class Attendance (theory) [PRESENCIAL][Lectures]	4
Problem solving and/or case studies [PRESENCIAL][Project/Problem Based Learning (PBL)]	2

Unit 7 (de 8): Potential flow.
Activities	Hours
Class Attendance (theory) [PRESENCIAL][Lectures]	6
Problem solving and/or case studies [PRESENCIAL][Project/Problem Based Learning (PBL)]	1

Unit 8 (de 8): Laboratory
Activities	Hours
Class Attendance (theory) [PRESENCIAL][Lectures]	3
Laboratory practice or sessions [PRESENCIAL][Practical or hands-on activities]	6

Global activity
Activities	hours

General comments about the planning:

This time distribution could be modified behind particular circumstances, happening during the development of the course, so advise. The contents, methodology and evaluation systems of the subject could be modified, with the authorization of the university authorities. In any case, the acquisition of the skills of the subject will be ensured.

Author(s)	Title	Book/Journal	Citv	Publishing house	ISBN	Year	Description	Link	Catálogo biblioteca
A. Crespo Martínez	Mecánica de Fluidos	Libro		Paraninfo	978-84-9732-475-5	2010
F.M. White	Mecánica de Fluidos	Libro		McGraw-Hill	978-84-4819-128-3	2008
G. K. Batchelor	Introducción a la Dinámica de Fluidos	Libro		Centro de Publicaciones Secretaría General Técnica Ministerio de Medio Ambiente	84-8320-015-5	1997
R. W. Fox, A. T. McDonald	Introducción a la Mecánica de Fluidos	Libro		McGraw-Hill	970-10-0669-0	1995