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Incompressible Fluid Mechanics

  • 1. Statics
    • 1.8. Exercises
      • 1.8.1. Exercise 1.1
      • 1.8.2. Exercise 1.2
      • 1.8.3. Exercise 1.3
      • 1.8.4. Exercise 1.4
      • 1.8.5. Exercise 1.5
      • 1.8.6. Exercise 1.6
  • 2. Surface Tension
    • 2.3. Exercises
      • 2.3.1. Exercise 2.1
      • 2.3.2. Exercise 2.2
      • 2.3.3. Exercise 2.3
  • 3. Kinematics
    • 3.5. Exercises
      • 3.5.1. Exercise 3.1
      • 3.5.2. Exercise 3.2
      • 3.5.3. Exercise 3.3
      • 3.5.4. Exercise 3.4
  • 4. Balance equations
    • 4.16. Approfondimenti su alcuni bilanci
    • 4.17. Introduction to exercises
    • 4.18. Galilean relativity
    • 4.19. Fluid dynamics in a non-inertial reference frame
    • 4.20. Exercises
      • 4.20.1. Exercise 4.1
      • 4.20.2. Exercise 4.2
      • 4.20.3. Exercise 4.3
      • 4.20.4. Exercise 4.4
      • 4.20.5. Exercise 4.5
      • 4.20.6. Exercise 4.6
      • 4.20.7. Exercise 4.7
      • 4.20.8. Exercise 4.8
      • 4.20.9. Exercise 4.9
      • 4.20.10. Exercise 4.9 - Experiment: wake defect
      • 4.20.11. Exercise 4.10
      • 4.20.12. Exercise 4.11
      • 4.20.13. Exercise 4.12
      • 4.20.14. Exercise 4.13
      • 4.20.15. Weighting a hidden bird
  • 5. Bernoulli theorems and vorticity dynamics
    • 5.5. Exercises
      • 5.5.1. Exercise 5.1
      • 5.5.2. Exercise 5.2
      • 5.5.3. Exercise 5.3
      • 5.5.4. Exercise 5.4
      • 5.5.5. Exercise 5.5
      • 5.5.6. Exercise 5.6
      • 5.5.7. Exercise 5.7
  • 6. Exact solutions of Navier-Stokes equations
    • 6.5. Exercises
      • 6.5.1. Exercise 6.1
      • 6.5.2. Exercise 6.2
      • 6.5.3. Exercise 6.3
      • 6.5.4. Exercise 6.4
      • 6.5.5. Exercise 6.5
      • 6.5.6. Exercise 6.6
      • 6.5.7. Exercise 6.7
      • 6.5.8. Exercise 6.8
  • 7. Similitude
    • 7.14. Exercises
      • 7.14.1. Exercise 7.1
      • 7.14.2. Exercise 7.2
      • 7.14.3. Exercise 7.3
      • 7.14.4. Exercise 7.4
      • 7.14.5. Exercise 7.5
      • 7.14.6. Exercise 7.6
  • 8. Incompressible Aerodynamics
    • 8.1. Theorems about vorticity
    • 8.2. Singularities in Poisson equation
    • 8.3. Steady Aerodynamics
      • 8.3.5. Steady Aerodynamics - 2-dimensional flows
      • 8.3.6. Steady Aerodynamics - 3-dimensional flows
      • 8.3.7. Weissinger method
    • 8.4. Exercises
  • 9. Boundary layer
    • 9.5. Exercises
  • 10. Instability and turbulence
    • 10.1. RANS and energy equations
    • 10.2. Scales of turbulence
    • 10.3. Boundary layer flows
    • 10.4. Exercises

Compressible Fluid Mechanics

  • 11. Introduction to Compressible Fluid Mechanics
  • 12. Bernoulli’s theorem in compressible fluid mechanics
  • 13. Vorticity equation
  • 14. Entropy equation
  • 15. Canonical flows
    • 15.1. Quasi-1-dimensional flows
    • 15.2. Normal shocks
    • 15.3. Oblique shocks
    • 15.4. Expansion fans - Prandtl-Meyer relation
  • 16. Jump conditions
  • 17. Characteristics
  • 18. Steady 2-dimensional flows
  • 19. Acoustics
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Introduction to Fluid Mechanics

Introduction to Fluid Mechanics#

This material is part of the basics-books project. It is also available as a .pdf document.

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Incompressible Fluid Mechanics

  • 1. Statics
  • 2. Surface Tension
  • 3. Kinematics
  • 4. Balance equations
  • 5. Bernoulli theorems and vorticity dynamics
  • 6. Exact solutions of Navier-Stokes equations
  • 7. Similitude
  • 8. Incompressible Aerodynamics
  • 9. Boundary layer
  • 10. Instability and turbulence

Compressible Fluid Mechanics

  • 11. Introduction to Compressible Fluid Mechanics
  • 12. Bernoulli’s theorem in compressible fluid mechanics
  • 13. Vorticity equation
  • 14. Entropy equation
  • 15. Canonical flows
  • 16. Jump conditions
  • 17. Characteristics
  • 18. Steady 2-dimensional flows
  • 19. Acoustics

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1. Statics

Di basics

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