Hydraulics

Hydrostatic pressure. Euler hydrostatic equation. Pascal`s law.

Hydrostatic forces. Archimedes principal and buoyancy force. Floating bodies.

Characteristics of flow. Trajectories and streamlines. Local and average velocity, discharge. Types and regimes of flow. Conservation of mass (continuity equation), energy (Bernoulli equation) and momentum.  

Application of Bernoulli equation and continuity equation. Friction loss. Darcy-Weisbach equation. Friction loss coefficient and its determination, Moody diagram. Local losses – source of losses, coefficients of local losses.

Hydraulic solutions for pipelines. Underpressure in a pipeline – example: siphon. Pipe – pump systems. Pipeline networks. Water hammer.

Types of outflow. Free steady outflow of ideal liquid. Free steady outflow of real liquid from orifice in horizontal and vertical walls. Outflow from submerged orifice. Outflow jets and their decay.

Types of open-channel flow – steady and unsteady flow, uniform and non-uniform flow. Friction losses in uniform flow, Chezy equation, friction coefficient, velocity coefficient. Hydraulic solutions for open channels. Design of open channels, including compound channels and enclosed profiles with free water surface.

Flow regimes: critical, subcritical and supercritical flow – specific energy, critical flow condition. Determination of critical depth and flow regime. Non-uniform flow, development in water surface, backwater and headwater. Hydraulic jump.

Hydraulic jump. Acting forces in pressurized flow in pipe. Hydrodynamic force acting on sluice gate. Force impact of free jet on a solids body.

Overflow on spillways: sharp crested spillway, wide crested spillway. Flow through a bridge: hydraulic solution for bridge with one opening. Flow in culverts.

Filtration law. Plane flow – uniform and non uniform, drawdown curve under non-uniform flow on horizontal bedrock. Solution for ground water uptake from wells and drainage cuts.