Fluid Mechanics

5-year combined undergraduate / graduate Engineering programs

General Data
Academic program	General Engineering Program			:
Type d'EC	Classes
Lectures : 31h00 Tutorials : 15h00 Lab Work : 12h00 Total duration : 83h00	Status :	Period : SEMESTER 5	Education language : French/English

Learning Outcomes
Acquire basic concepts of Fluid Mechanics, in statics and dynamics. Acquire technical vocabulary related to various kinds of fluids and flows. Ability to apply Fluid Mechanics basic / governing equations on a control volume of incompressible viscous fluid in a steady state flow. Ability to design and size a simple industrial system related to Fluid Mechanics, linked to an industrial application associated to statics, Aeraulics or Hydraulics. Acquire a rigorous scientific approach in order to characterize an existing mechanical / energy industrial setup linked to Fluid Mechanics. Acquire a rigorous scientific approach in order to design and size a future mechanical / energy industrial setup linked to Fluid Mechanics.

Learning Outcomes

Acquire basic concepts of Fluid Mechanics, in statics and dynamics.
Acquire technical vocabulary related to various kinds of fluids and flows.
Ability to apply Fluid Mechanics basic / governing equations on a control volume of incompressible viscous fluid in a steady state flow.
Ability to design and size a simple industrial system related to Fluid Mechanics, linked to an industrial application associated to statics, Aeraulics or Hydraulics.
Acquire a rigorous scientific approach in order to characterize an existing mechanical / energy industrial setup linked to Fluid Mechanics.
Acquire a rigorous scientific approach in order to design and size a future mechanical / energy industrial setup linked to Fluid Mechanics.

Content
Scope of industrial Fluid Mechanics. Presentation of various kinds of fluids (liquids and gas, physical properties of fluids, etc.). Presentation of various kinds of industrial flows. Kinematics concepts: Lagrange and Euler approaches, total derivative, streamlines, streaklines and pathlines. Presentation of basic / governing equations of mass, momentum and energy. Presentation of these equations through their reduced formulations and analysis of their application conditions. Presentation of Euler, Navier-Stokes and Generalized Bernoulli Equations. Industrial implementations of these governing equations to simple flows (streamtube of steady state flow of incompressible viscous fluid). Minor (/ local) and major (/ friction) head losses formulations for viscous flows. Presentation of head losses adding (/ coupling) laws: series coupling and parallel coupling head losses – Presentation of Electrical analogy Study of hydraulic networks and sizing of pumping systems and hydroelectric energy setups. Implementations of Generalized Bernoulli equation – Duty point concept: selection of a pumping system adapted to a required flow rate in an existing hydraulic network. Boundary layer concept. Drag and lift forces - Implementations to aeronautics. Modeling a complex physical phenomenon through dimensional analysis (Vaschy-Buckingham theorem). Using similarity analysis in order to adjust established analytical models via experimental investigation on scaled models: defining experimental conditions on scaled model and transferring obtained results from scaled model to unity scale prototype.

Content

Scope of industrial Fluid Mechanics.
Presentation of various kinds of fluids (liquids and gas, physical properties of fluids, etc.).
Presentation of various kinds of industrial flows.
Kinematics concepts: Lagrange and Euler approaches, total derivative, streamlines, streaklines and pathlines.
Presentation of basic / governing equations of mass, momentum and energy.
Presentation of these equations through their reduced formulations and analysis of their application conditions. Presentation of Euler, Navier-Stokes and Generalized Bernoulli Equations.
Industrial implementations of these governing equations to simple flows (streamtube of steady state flow of incompressible viscous fluid).
Minor (/ local) and major (/ friction) head losses formulations for viscous flows.
Presentation of head losses adding (/ coupling) laws: series coupling and parallel coupling head losses – Presentation of Electrical analogy
Study of hydraulic networks and sizing of pumping systems and hydroelectric energy setups. Implementations of Generalized Bernoulli equation – Duty point concept: selection of a pumping system adapted to a required flow rate in an existing hydraulic network.
Boundary layer concept. Drag and lift forces - Implementations to aeronautics.
Modeling a complex physical phenomenon through dimensional analysis (Vaschy-Buckingham theorem). Using similarity analysis in order to adjust established analytical models via experimental investigation on scaled models: defining experimental conditions on scaled model and transferring obtained results from scaled model to unity scale prototype.

Pre-requisites / co-requisites
Mathematics and Mechanics courses completed in Preparatory Classes

Bibliography
- Polycopié de cours de mécanique des fluides – ECAM Lyon – Vincent Caillé - "Introduction to Fluid Mechanics" – 6th edition - Edition Wiley (2004) - R. W. Fox, A. T. McDonald, P. J. Pritchard - “Fluid Mechanics Fundamentals and Applications” - McGraw-Hill College (2017) - Yunus Çengel, John M. Cimbala

Assessment(s)
N°	Nature	Coefficient	Observable objectives
1	Implementations of governing equations of Fluid Mechanics: statics, mass, momentum and energy equations for conservative systems	1	Acquire basic concepts of Fluid Mechanics, in statics and dynamics. Acquire technical vocabulary related to various kinds of fluids and flows. Ability to apply Fluid Mechanics basic / governing equations on a control volume of incompressible inviscid fluid in a steady state flow. Ability to design and size a simple industrial system related to Fluid Mechanics, linked to an industrial application associated to statics, Aeraulics or Hydraulics. Acquire a rigorous scientific approach in order to characterize an existing mechanical industrial setup linked to Fluid Mechanics. Acquire a rigorous scientific approach in order to design and size a future mechanical industrial setup linked to Fluid Mechanics.
2	Study of hydraulic networks for viscous flows (head losses), aero/hydro-dynamic forces, implementations of Dimensional Analysis and Similarity conditions	1	Acquire basic concepts of Fluid Mechanics in dynamics. Acquire technical vocabulary related to various kinds of fluids and flows. Ability to apply Fluid Mechanics basic / governing equations on a control volume of incompressible viscous fluid in a steady state flow. Ability to design and size a simple industrial system related to Fluid Mechanics, linked to an industrial application associated to statics, Aeraulics or Hydraulics. Acquire a rigorous scientific approach in order to characterize an existing mechanical / energy industrial setup linked to Fluid Mechanics. Acquire a rigorous scientific approach in order to design and size a future mechanical / energy industrial setup linked to Fluid Mechanics.
3	Experimental implementations of Fluid Mechanics concepts through laboratory work (head losses, aerodynamic forces, Venturi tube, centrifugal pump, etc.)	1	Acquire basic concepts of Fluid Mechanics, in statics and dynamics. Acquire technical vocabulary related to various kinds of fluids and flows. Ability to apply Fluid Mechanics basic / governing equations on a control volume of incompressible viscous fluid in a steady state flow. Ability to design and size a simple industrial system related to Fluid Mechanics, linked to an industrial application associated to statics, Aeraulics or Hydraulics. Acquire a rigorous scientific approach in order to characterize an existing mechanical / energy industrial setup linked to Fluid Mechanics. Acquire a rigorous scientific approach in order to design and size a future mechanical / energy industrial setup linked to Fluid Mechanics.