The Programme of Lectures
1 Basic concepts of fluid mechanics, physical properties of liquids
2 Pressure and pressure forces, the liquid at rest, Euler's equation of hydrostatics, constant pressure levels, Pascal's law
3 Pressure force acting on flat and curved submerged surfaces, Archimedes law,
fluids in moving container
4 Introduction to fluid flow, continuity equation and Bernoulli's equation for ideal fluid flow
5 Application of Bernoulli's equation for the flow of an ideal fluid, measurement of pressure and flow in pipes
6 Real fluid flow, Navier-Stokes equation, Bernoulli's equation for an incompressible viscous fluid in a gravity field, Bernoulli's equation for a compressible fluid
7 Steady flows in pipes, laminar and turbulent flow in pipes of circular cross section
8 Hydraulic resistances by friction and local loss, hydraulic calculations of pipelines, characteristics of pipelines
9 Bernoulli equation for the rotating channel, centrifugal pump, pump characteristic curves, pump in the piping system
10 Liquid outflow from a small orifice, emptying of containers, the liquid discharge through large rectangular hole in the side wall of the container
11 Unsteady flow of incompressible and compressible liquid through a pipe, hydraulic shock
12 Theorem about change of momentum and its application
13 Force effects of flowing fluid on surfaces and bodies, flow around submerged bodies
Program of exercises and seminars + individual student work:
1 Physical properties of fluids
2 Hydrostatic pressure, pressure levels, Pascal's law, pressure force on plane surfaces
3 Pressure force on curved surfaces, liquid in moving container
4 Control test No. 1 - Hydrostatics
5 Continuity equation, Bernoulli's equation for an ideal liquid, measurement of pressure and velocities in pipelines
6 Bernoulli's equation for a real liquid, specific energy loss, Reynolds number
7 Hydraulic frictional resistances in laminar and turbulent flow, local resistances
8 Laboratory measurements (friction and local losses, pump curve)
9 Hydraulic calculations of pipelines
10 Bernoulli's equation for a rotating channel, a centrifugal pump, a pump and a pipe
11 Control test no. 2 - Hydrodynamics
12 Unsteady flow of incompressible and compressible liquid through pipes, hydraulic shock
13 Application of the theorem on change of momentum, flow around bodies
List of exam questions:
1 Fluids - basic concepts, physical properties of fluids - definitions and units
2 Liquids at rest, the law of pressure propagation in liquids, Pascal's law and its applications (hydraulic press, energy transfer)
3 Euler's equation of hydrostatics, differential equation of pressure function, surface areas and their practical significance
5 Pressure force on flat surfaces (magnitude and location of centre of pressure force, load patterns)
6 Pressure forces on curved surfaces (method of components and substitute surfaces), buoyancy and floating of bodies, Archimedes' law
7 Basic concepts of fluid dynamics, distribution of fluid flow (according to properties and kinematic aspects)
8 Continuity equation and Euler's equation for one-dimensional flow of an ideal fluid
9 Bernoulli's equation for an ideal fluid, applications
10 Measurement of the local and mean velocity of the liquid in the pipeline
11 Bernoulli's equation for a real liquid, specific energy loss, Reynolds number
12 Steady laminar flow in a circular pipe (velocity profile, mean velocity, hydraulic frictional resistances)
13 Turbulent flows in a circular pipe (velocity profile, mean velocity, hydraulic frictional resistances)
14 Local hydraulic resistances, determination of the local loss coefficient by measurement
15 Hydraulic calculations of pipes (Continuity equation, Bernoulli's equation, hydraulic resistances, pipe characteristics)
16 Hydrodynamic pumps, pumping system, pump parameters, calculation of the specific energy of the pump, characteristics of the hydrodynamic pump
17 Unsteady flows of an incompressible liquid in a pipe_ extended Bernoulli's equation
18 Unsteady flows of compressible liquid in pipeline, hydraulic shock
19 Theorem about change of momentum and its application in fluid mechanics
20 Flow around bodies, force effects on surfaces and bodies, their calculation
1 Basic concepts of fluid mechanics, physical properties of liquids
2 Pressure and pressure forces, the liquid at rest, Euler's equation of hydrostatics, constant pressure levels, Pascal's law
3 Pressure force acting on flat and curved submerged surfaces, Archimedes law,
fluids in moving container
4 Introduction to fluid flow, continuity equation and Bernoulli's equation for ideal fluid flow
5 Application of Bernoulli's equation for the flow of an ideal fluid, measurement of pressure and flow in pipes
6 Real fluid flow, Navier-Stokes equation, Bernoulli's equation for an incompressible viscous fluid in a gravity field, Bernoulli's equation for a compressible fluid
7 Steady flows in pipes, laminar and turbulent flow in pipes of circular cross section
8 Hydraulic resistances by friction and local loss, hydraulic calculations of pipelines, characteristics of pipelines
9 Bernoulli equation for the rotating channel, centrifugal pump, pump characteristic curves, pump in the piping system
10 Liquid outflow from a small orifice, emptying of containers, the liquid discharge through large rectangular hole in the side wall of the container
11 Unsteady flow of incompressible and compressible liquid through a pipe, hydraulic shock
12 Theorem about change of momentum and its application
13 Force effects of flowing fluid on surfaces and bodies, flow around submerged bodies
Program of exercises and seminars + individual student work:
1 Physical properties of fluids
2 Hydrostatic pressure, pressure levels, Pascal's law, pressure force on plane surfaces
3 Pressure force on curved surfaces, liquid in moving container
4 Control test No. 1 - Hydrostatics
5 Continuity equation, Bernoulli's equation for an ideal liquid, measurement of pressure and velocities in pipelines
6 Bernoulli's equation for a real liquid, specific energy loss, Reynolds number
7 Hydraulic frictional resistances in laminar and turbulent flow, local resistances
8 Laboratory measurements (friction and local losses, pump curve)
9 Hydraulic calculations of pipelines
10 Bernoulli's equation for a rotating channel, a centrifugal pump, a pump and a pipe
11 Control test no. 2 - Hydrodynamics
12 Unsteady flow of incompressible and compressible liquid through pipes, hydraulic shock
13 Application of the theorem on change of momentum, flow around bodies
List of exam questions:
1 Fluids - basic concepts, physical properties of fluids - definitions and units
2 Liquids at rest, the law of pressure propagation in liquids, Pascal's law and its applications (hydraulic press, energy transfer)
3 Euler's equation of hydrostatics, differential equation of pressure function, surface areas and their practical significance
5 Pressure force on flat surfaces (magnitude and location of centre of pressure force, load patterns)
6 Pressure forces on curved surfaces (method of components and substitute surfaces), buoyancy and floating of bodies, Archimedes' law
7 Basic concepts of fluid dynamics, distribution of fluid flow (according to properties and kinematic aspects)
8 Continuity equation and Euler's equation for one-dimensional flow of an ideal fluid
9 Bernoulli's equation for an ideal fluid, applications
10 Measurement of the local and mean velocity of the liquid in the pipeline
11 Bernoulli's equation for a real liquid, specific energy loss, Reynolds number
12 Steady laminar flow in a circular pipe (velocity profile, mean velocity, hydraulic frictional resistances)
13 Turbulent flows in a circular pipe (velocity profile, mean velocity, hydraulic frictional resistances)
14 Local hydraulic resistances, determination of the local loss coefficient by measurement
15 Hydraulic calculations of pipes (Continuity equation, Bernoulli's equation, hydraulic resistances, pipe characteristics)
16 Hydrodynamic pumps, pumping system, pump parameters, calculation of the specific energy of the pump, characteristics of the hydrodynamic pump
17 Unsteady flows of an incompressible liquid in a pipe_ extended Bernoulli's equation
18 Unsteady flows of compressible liquid in pipeline, hydraulic shock
19 Theorem about change of momentum and its application in fluid mechanics
20 Flow around bodies, force effects on surfaces and bodies, their calculation