Thermohydraulics Design of Nuclear Devices 2

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Code Completion Credits Range Language
17THNJ2 Z,ZK 3 2+1 Czech
Garant předmětu:
Dušan Kobylka
Dušan Kobylka
Department of Nuclear Reactors

With this course, students are introduced into problem of thermohydraulic calculations. Step by step they will learn more about fluid mechanics. The most important part dedicated to fundamentals: description of flow, definition of quantities and equations, pressure drops, 1D description of flow, turbulence and its influences on the flow characteristics, boundary layers and centrifugal pumps. That way students obtain knowledge which are necessary for insight into convection as well as into fundamental principles of devices in nuclear power plants.



Syllabus of lectures:

1. Introduction to fluid mechanics, definition of terms and quantities

Time range: 1 lecture

Introduction to fluid mechanics, definition of basic quantities in fluid mechanics (pressure, velocity field, etc.), description of basic fluid properties (viscosity, surface tension, etc.), Newton?s law, fluid classification according to viscosity.

2. Fluid statics

Time range: 2 lecture

Hydrostatic pressure, Archimedes principle and floating, force caused on areas in fluid (plane, general), derivation of hydrostatic Euler?s equation and their use: fluids in relative equilibrium, equipotential surfaces.

3. Fluid kinematics

Time range: 1 lecture

Basic terms (flow line, vorticity, vortex line, velocity circulation, etc.) and laws (Helmholtz?s theorem, theorem of Stokes, etc.), derivation of mass conservation equation (equation of continuity), potential flow (definition), complex potential function and its use for calculation, flow around basic shapes.

4. Equations of fluid dynamics

Time range: 2 lectures

Basic definition in fluid dynamics, Euler?s equation of fluid dynamics, Navier-Stokes equations for uncompressible and compressible fluids (derivation, boundary conditions) calculation of basic types of flow, definition of hydraulic diameter.

5. Turbulent flow

Time range: 1 lecture

Definition of turbulent flow and its description according to Euler and Lagrange, methods of description and calculation of turbulent flow: Reynolds equations and their closure, Reynolds tensions, turbulent kinetic energy, basic features of turbulence, Boussinesque hypothesis, turbulent viscosity, influence of turbulence on flow characteristics.

6. 1D flow and pressure drops

Time range: 3 lectures

Derivation of Bernoulli's equation and Euler-Lagrange?s equation, use of equations for 1D flow calculations, loss energy, simplification of selected flows on 1D flow and their solving: outflows, shrouds, Prandtl and Pitott pipes, transient 1D flow, Definition of pressure drops, pressure drops on local losses ? coefficients of local losses: bends, valves and fittings, restrictions, etc., local losses in nuclear reactors (entrance, exit, spacer grids, ?), friction pressure losses, friction factor and its determination, acceleration pressure loses, televation pressure losses, calculations of pressure drops, use of pressure losses for calculation of velocity profile in circular pipe (power law).

7. Theorem about momentum flow change

Time range: 1 lecture

Derivation of theorem about momentum flow change, use of theorem about momentum flow change for calculations: action of force on channels, walls and curved areas, Pelton bucket, Pelton turbine, jet pumps.

8. Flow of real fluid around surfaces, boundary layer

Time range: 1 lecture

Definition, origin and types of boundary layer, basic features of boundary layer, description and solving of plane boundary layer, flow around curved walls and separation of boundary layer, calculation of forces.

9. Rotating channel centrifugal pumps

Time range: 1 lecture

Theory of rotating channel, equation of rotating channel, aplocation in vcentrifugasl pump, pumping equipment and specific pump energy, pump characteristics (Q-H characteristic), pump choice for piping.

Syllabus of tutorials:

Selected chapters are demonstrated on simple examples (hydrostatic pressure, force caused on areas in fluid, Archimedes principle and floating, complex potential function, Navier-Stokess equation, pressure drops, Bernoulli's equation and Euler-Lagrange?s equation, Theorem about momentum flow change, pumping equipment, ...)

Study Objective:

Knowledge: students will get basic knowledge about field of fluid mechanics and heat transfer, which they can use especially in solving of thermohydraulic of primary circuit and nuclear reactors core. This basic knowledge will allow them to get in detail designs of another devices of the nuclear power plants (for example heat exchangers, steam generators, condensators, pumps, etc.) and they will allow them to understand their operational and physical features.

Abilities: Students will be better orientated in the given problematics and they will be able to work on basic simplified designs. Obtained knowledge will use in the following parts of this course (17THN3) and all consecutive course, which are focused on thermal and hydraulics problematic or designing of single devices in nuclear power plant. On base of given knowledge students will be able to understand and analyse behavior and control of nuclear power plant as a complex.

Study materials:

Tong, L.S., Weisman, J.: Thermal Analysis of Pressurized Water Reactors, American Nuclear Society, Illinois USA, 1996, ISBN: 0-89448-038-3

Time-table for winter semester 2023/2024:
Time-table is not available yet
Time-table for summer semester 2023/2024:
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The course is a part of the following study plans:
Data valid to 2024-04-23
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