Mecanica Fluidelor

1. BASIC MATHEMATICS 11
2. FLUID PROPRIETIES 17
2.1 Compressibility 18
2.2 Thermal dilatation 20
2.3 Mobility 22
2.4 Viscosity 22
3. EQUATIONS OF IDEAL FLUID MOTION 29
3.1 Euler’s equation 29
3.2 Equation of continuity 32
3.3 The equation of state 34
3.4 Bernoulli’s equation 35
3.5 Plotting and energetic interpretation of Bernoulli’s equation for liquids 39
3.6 Bernoulli’s equations for the relative movement of ideal non-compressible fluid 40
4. FLUID STATICS 43
4.1 The fundamental equation of hydrostatics 43
4.2 Geometric and physical interpretation
of the fundamental equation of hydrostatics 45
4.3 Pascal’s principle 46
4.4 The principle of communicating vessels 47
4.5 Hydrostatic forces 48
4.6 Archimedes’ principle 50
4.7 The floating of bodies 51
5. POTENTIAL (IRROTATIONAL) MOTION 57
5.1 Plane potential motion 59
5.2 Rectilinear and uniform motion 63
5.3 The source 66
5.4 The whirl 69
5.5 The flow with and without circulation around a circular cylinder 71
5.6 Kutta – Jukovski’s theorem 75
6. IMPULSE AND MOMENT IMPULSE
THEOREM 77
7. MOTION EQUATION OF THE REAL FLUID 81
7.1 Motion regimes of fluids 81
7.2 Navier – Stokes’ equation 83
7.3 Bernoulli’s equation under the permanent regime of a thread of real fluid 87
7.4 Laminar motion of fluids 90
7.4.1 Velocities distribution between two plane parallel boards of infinit length 90
7.4.2 Velocity distribution in circular conduits 93
7.5 Turbulent motion of fluids 97
7.5.1 Coefficient in turbulent motion 99
7.5.2 Nikuradze’s diagram 102
8. FLOW THROUGH CIRCULAR CONDUITS 105
9. HYDRODYNAMIC PROFILES 113
9.1 Geometric characteristics of hydrodynamic profiles 113
9.2 The flow of fluids around wings116
9.3 Forces on the hydrodynamic profiles 119
9.4 Induced resistances in the case of finite span profiles 123
9.5 Networks profiles 125