Fluid Mechanics

1 The Concept of Continuum and Kinematics.- 1.2 Kinematics.- 2 Fundamental Laws of Continuum Mechanics.- 2.1 Conservation of Mass, Equation of Continuity.- 2.2 Balance of Momentum.- 2.3 Balance of Angular Momentum.- 2.4 Momentum and Angular Momentum in an Accelerating Frame.- 2.5 Applications to Turbomachines.- 2.6 Conservation of Energy.- 3 Constitutive equations.- Problem 3-1 Velocity of a raft.- Problem 3-2 Energy balance in a journal bearing.- Problem 3-3 Pressure driven flow of paper pulp.- Problem 3-4 Flow of a non-Newtonian fluid.- Problem 3-5 Extensional flow.- 4 Equation of Motion for Particular Fluids.- 4.1 Newtonian Fluids.- 4.2 Inviscid flow.- 4.3 Initial and Boundary Conditions.- 5 Hydrostatics.- 5.1 Hydrostatic Pressure Distribution.- 5.2 Hydrostatic Lift, Force on Walls.- 6 Laminar Unidirectional Flow.- Problem 6-1 Flow in an annular gap.- Problem 6-2 Crude oil transport through pipeline.- Problem 6-3 Oscillating pipe flow.- Problem 6-4 Comparison of a Couette-Poiseuille flow of a Newtonian fluid, a Stokes fluid, and a Bingham material.- 7 Fundamentals of Turbulent Flows.- Problem 7-1 Turbulent Couette flow.- Problem 7-2 Velocity distribution in turbulent Couette flow with given Reynolds number.- Problem 7-3 Turbulent pipe flow.- Problem 7-4 Crystal growth on pipe walls.- Problem 7-5 Comparison of momentum and energy flux in laminar and turbulent flow in a pipe.- Problem 7-6 Velocity distribution in a turbulent pipe flow resulting from the Blasius friction law.- Problem 7-7 Location of a pipe leakage.- Problem 7-8 Cooling of superheated steam by water injection.- 8 Hydrodynamic Lubrication.- Problem 8-1 Bearing with step slider.- Problem 8-2 Friction torque transmitted by the shaft to the journal.- Problem 8-3 Slider load in squeeze flow: Comparison between different slider geometries.- 9 Stream filament theory.- 9.1 Incompressible Flow.- 9.2 Steady Compressible Flow.- 9.3 Unsteady Compressible Flow.- 10 Potential Flow.- 10.3 Incompressible Potential Flow.- 10.4 Plane Potential Flow.- 11 Supersonic Flow.- 11.1 Oblique Shock Waves.- 11.3 Reflection of Oblique Shock Waves.- 11.5 Prandtl-Meyer Flow.- 11.6 Shock Expansion Theory.- 12 Boundary Layer Theory.- Problem 12-1 Boundary layer momentum equation.- Problem 12-2 Flow over a wedge.- Problem 12-3 Diffuser with discontinuous change of the cross-section.- Problem 12-4 Drag coefficient of a diamond airfoil.