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Statique des fluides et écoulements simplesPO MRI 1 (STPI)

FISE STPI Semester 3 Pre-Orientation MRI 1 Machine translation

Fluid Statics and Simple Flows

Teaching unit PO MRI 1
3ECTS (EU)
1Coefficient
24:00Hours

Séquencement

C TD C TD C TD C TD C TD C TD C TD C TD C TD C TD C TD C TD C TD

Learning objectives

  • To introduce the concept of pressure, the forces exerted by a fluid at rest.
  • Describe the movement of a fluid according to 2 approaches (Lagrangian and Eulerian)
  • Know how to recognize the characteristics of a system to simplify fundamental equations.

Prerequisites

ModuleTeaching unitSemester
Thermodynamics 1Optional Constitutive Elements 1S1
ThermodynamicsPhysics - Chemistry 2S2

Program

  • Description of a fluid: mesoscopic scale, concept of pressure.
  • Fluid Static: fundamental law of fluid static, Archimedes theorem.
  • Cinematic of a deformable medium: Lagrangian and Eulerian description of movement, particulate derivative, trajectories, current lines, continuity equation, volume and superfacial flows.
  • Examples of simple flows: stationary (conservation of mass flow) and incompressible (conservation of volume flow).

References

  • Hprepa thermodynamics 1st year, Hprepa mechanical fluids2nd year PC-PSI, Hachette.
  • Pearson, Cape Prepa Physical Year 1 MPSI-PCSI-PTSI and Year 2 PC-PC*, Hachette.

Skills

6
Ref.VerbDescriptionLevel
C_1_1describeDescribe a mesoscopic fluid: value of continuous approach2
C_1_1illustrateTo illustrate a diagram with the density forces (heavy force) and the surface forces (pressure) –1
C_1_2recognizeRecognize the description Lagrangienne and the description Eulerian. Use this to demonstrate the local mass conservation equation. Apply to the stationary flow of an incompressible fluid.2
C_1_3solvesolve the fundamental principle of fluid static in the case of the uniform gravity field in different cases (constant density/variable density). Applications: recite and apply the Archimedes principle –2
C_1_3calculateCalculate the particulate derivative of a given field and interpret each of its terms2
C_1_3solvesolving the differential equation of a path or field line2