Hydraulics
Civil Engineering
Properties of Fluids
Fundamental properties of fluids including density, specific weight, specific gravity, viscosity, surface tension, and compressibility.
Hydrostatics: Pressure & Manometry
Fluid pressure concepts, Pascal's Law, pressure variation with depth, and manometers.
Hydrostatics: Forces on Surfaces
Calculating hydrostatic forces on plane and curved submerged surfaces, including magnitude and location (Center of Pressure).
Hydrostatics: Buoyancy & Stability
Archimedes' principle, flotation, metacentric stability, free-surface effects, and stability of floating and submerged bodies.
Relative Equilibrium of Liquids
Analysis of liquids subjected to uniform linear acceleration and rigid-body rotation.
Fluid Kinematics
Eulerian and Lagrangian descriptions, material acceleration, flow classification, continuity, deformation, vorticity, stream functions, velocity potentials, and flow nets.
Fluid Dynamics: Energy & Momentum
Euler and Navier-Stokes equations, Bernoulli and extended energy equations, hydraulic and energy grade lines, control-volume momentum, correction coefficients, jets, vanes, and cavitation limits.
Flow in Pipes: Fundamentals & Losses
Laminar and turbulent flow, Reynolds number, friction factor, and calculation of head loss in pipes.
Flow in Pipes: Systems & Networks
Series, parallel and branching pipes, resistance formulations, equivalent systems, three-reservoir problems, Hardy Cross and nodal-head network methods, pumps, valves, demands, and hydraulic transients.
Flow Measurement
Devices and methods for measuring flow rate, including orifices, venturi meters, and weirs.
Open Channel Flow: Uniform Flow
Open-channel geometry, uniform-flow resistance, normal depth, and hydraulically efficient sections.
Open Channel Flow: Non-Uniform Flow
Specific energy, critical controls, momentum function, hydraulic jumps, gradually varied flow equations and profiles, and direct- and standard-step computations.
Hydraulic Machinery
Pump and turbine energy transfer, system and machine curves, operating points, efficiencies, affinity laws, series and parallel operation, BEP, NPSH, cavitation, specific speed, and selection.
Dimensional Analysis & Similitude
Dimensional homogeneity, Buckingham Pi theorem, dimensionless hydraulic parameters, model–prototype scale laws, distorted models, and scale effects.