Università Roma Tre

Physical Properties of Fluids
 Density and Compressibility
 Vapor Pressure
 Viscosity
 Surface Tension
 Fluid Statics
 Stress at a Point and Dependence on Direction
 Fundamental Equation of Fluid Statics
 Equilibrium of a Finite Mass of Fluid at Rest
 Effects of Compressibility on the Pressure Distribution in a Fluid at Rest Subjected to Gravity
 Buoyancy on a Flat Surface
 Buoyancy on a Curved Surface
 Rigid Motion of a Liquid. Relative Equilibrium

Fluid Kinematics
 The Material Derivative
 Reynolds' Theorem
 The Velocity Field Around a Point

Fluid Dynamics
 Conservation of Mass Equation
 Integral Form
 Differential Form
 Constitutive Relations
 Conservation of Momentum Equation
 Integral Form
 Differential Form
 The Euler Equation and Its Projection onto the Intrinsic Triple
 Conservation of Total Energy in a Nonideal Fluid
 Conservation of Momentum Equation

Applications of Bernoulli's theorem and the integral motion equations
 Behavior of the piezometric head in the steady flow of a liquid in a curved-axis tube
 Applications of Bernoulli's theorem
 Outflow from a circular hole at the bottom of a tank
 Outflow from a raised rectangular bulkhead at the bottom of a channel
 Outflow from a rectangular opening on a vertical wall
 The Pitot tube
 The Venturi tube
 Applications of the integral momentum conservation equation
 Thrust exerted by a free jet on a curved blade
 Drag force acting on a body immersed in a uniform flow
 Propeller
 Torque acting on the shaft of a hydraulic machine

Dimensionless Form of the Equations of Motion
Flows at Low Reynolds Numbers
 Steady Flow between Parallel Flat Plates
 Hydrodynamic Lubrication
 Sphere Impinged by a Uniform Flow of a Viscous Fluid
 Steady Flow of an Incompressible Viscous Fluid
inside a Pipe
 Steady Flow between Coaxial Circular Cylinders
Rotating

Boundary Layer
 Introduction
 Boundary Layer Equations
 Boundary Layer on a Flat Plate
 Effects of Pressure Gradients – Boundary Layer Detachment
 Forces Acting on Bodies Immersed in a Uniform Flow
 Flow Around a Cylinder as the Reynolds Number Increases
 Boundary Layer Equations in Integral Form

Ideal Fluids
 Equations of Motion
 Irrotational Flow
 2D Irrotational Flow
 Uniform Flow and Source/Sink Potentials
 Free Vortex Potential
 Doublet Potential
 Flow Around a Half-Body
 Flow Around a Cylinder
 D'Alembert's Paradox in Three-Dimensional Space

Uniform and steady flow in pipes
 Equations of motion, flow regimes
 Time averages in the turbulent regime
 The laminar regime
 Turbulent regime
 Experimental determination of the drag coefficient
 Concentrated pressure drops

Compressible Fluids
 Flow Regimes
 Steady Isentropic Flow of an Ideal Gas
 Stagnation Pressure
 Mass Flow Rate in a Convergent-Divergent Venturi Tube
 Flow in a Convergent-Divergent Venturi Tube
 Steady Flow of an Ideal Gas in a Long Tube with Constant Cross-Section
 Normal Shock Wave

Lecture notes and exercises distributed by the teacher.