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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.