Guia docente 2023_24
Escuela de Ingeniería de Minas y Energía
Grado en Ingeniería de los Recursos Mineros y Energéticos
 Subjects
  Fluid mechanics
   Contents
Topic Sub-topic
1.- Fundamental concepts of the fluids 1.1.- Concept of fluid.
1.2.- Continuum hypothesis.
1.3.- Viscosity.
1.4.- Basic rheology: Navier-Poisson's law and Newton's law of the viscosity.
1.5.- Pressure and head: static, dynamic and piezometric.
1.6.- Forces on fluids: body and surface forces.
1.7.- Stress tensor on a fluid particle.
1.8.- Other properties of interest in fluid mechanics.
2.- General study about the movement of the fluids 2.1.- Classical approaches: Euler vs. Lagrange.
2.2.- Concept of velocity field.
2.3.- Cinematic basic: acceleration and tensor of velocity variation.
2.4.- Stresses and deformations of the fluid particle: relationship with the tensor of velocity variation.
2.5.- Classification of fluid flows:
- according to cinematic conditions
- according to geometrical conditions
- according to mechanical conditions of the boundary
- according to conditions of the internal movement
2.6.- System vs. volume of control
2.7.- Integrals extended to fluid volumes: Reynolds Transport theorem.
2.8.- Integral relations for a volume of control: conservation of mass, conservation of momentum and conservation of energy.
2.9.- Differential relations for a fluid particle: continuity and second Newton's law. Navier-Stokes equations.
2.10.- Particular cases: Euler's equation, Bernoulli's theorem, in-compressible flow, and vorticity.
3.- Dimensional analysis and similarity flowed-dynamic. Applications. 3.1.- Introduction to the dimensional analysis.
3.2.- Pi Buckinghan's theorem.
3.3.- Dimensionless main groups in Fluid mechanics: physical significance.
3.4.- Similarity: partial and total. Effect of scale.
4.- Laminar flow 4.1.- Introduction.
4.2.- Simplified Navier-Stokes' equations: One-dimensional steady flow of liquids.
4.3.- Particular cases: Couette's flow and Hagen-Poiuseuille's flow.
4.4.- Head loss in laminar flow: friction factor.
5.- Turbulent flow 5.1.- Introduction.
5.2.- Statistical approach of the turbulence.
5.3.- RANS models for the turbulence.
5.4.- Other models of interest in modelling the turbulence.
5.5.- Description of the boundary layer.
5.6.- Measure and estimation of the head loss in turbulent flows:
- Nikuradse's chart
- Moody's diagram
- empirical formulae for flow in pipes
6.- Flow of liquids in pipes of variable section 6.1.- Introduction
6.2.- Secondary head loss:
- Loss at the entrance of a tube
- Loss at the tube exit
- Losses in valves
- Losses in elbows and other adapters
- Losses in valves
6.3.- Systems of pipes: series and parallel.
6.4.- Networks of pipes: equations for the nodes and equations for the meshes.
6.5.- System-pump coupling.
7.- Steady flow in channels 7.1.- Introduction.
7.2.- Energy losses.
7.3.- Equations for uniform steady flow: Optimal section.
7.4.- Equations for non-uniform steady flow.
7.5.- Energy conservation in transitions.
7.6.- Hydraulic jump.
7.7.- Measurement of flow and regulation: gates.
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