Two-Phase Flows with Phase Transition

ID: 0325
Course type: theoretical and methodological
Course coordinator: Stevanović D. Vladimir
Lecturers: Milivojević S. Sanja, Stevanović D. Vladimir
Contact: Stevanović D. Vladimir
Level of studies: M.Sc. (graduate) Academic Studies – Mechanical Engineering
ECTS: 6
Final exam type: written+oral
Department: Department of Thermal Power Engineering

Lectures

Goal

The aim is acquiring academic knowledge about two-phase flow patterns, mechanisms of transport processes in two-phase flows, intensity of evaporation and condensation and methods for two-phase flows simulation and analyses within design, safety analyses and prescription of operating conditions and parameters of energy plants.

Outcome

The students are trained to perform computer simulation and analyses of gas-liquid two-phase flows within design of energy plants, safety analyses, operating conditions diagnostics, defining of operating conditions, etc.

Theoretical teaching

Two-phase flow patterns and related maps. Two-phase flow modeling by multi-fluid models and corresponding closure laws for interface transport processes. Mechanisms of pressure change in two-phase flow and prediction methods. The effect of flooding in counter-current gas-liquid flow. Pool boiling and convective boiling. The critical heat flux and prediction methods. Condensation of pure vapour and condensation in the presence of noncondensables. Sonic waves propagation in two-phase flow. The chocked two-phase flow. Numerical methods for the solving of two-phase flow models. Computation of two-phase flows in components of energy and process plants.

Practical teaching

Prediction of two-phase flow parameters: static, flow and thermodynamic quality, void fraction, two-phase flow density, superficial velocity, slip factor, drift velocity, etc. Empirical correlations for the prediction of void fraction, slip factor and drift velocity. The influence of the pressure level on the two-phase flow parameters. Prediction of pressure change in two-phase flow. Development of multi-fluid models of two-phase flow: balance equations, closure laws and solving methods. Application of the multi-fluid two-phase flow model to energy and process equipment, such as: evaporating channel, condensation in a pipe, heat exchangers with phase transitions, evaporators, steam boilers with boiling around tubes in a bundle, evaporating tubes in steam boiler furnace, condensers, pressurizers, feedwater tanks, steam boiler drum, steam accumulator, pipelines, etc.

Attendance requirement

Passed exams in Thermodynamics, Fluid Mechanics and Numerical Methods.

Resources

Course handouts. Computer equipment. Computer codes for thermal-hydraulic simulations of two-phase flows and pressure transients in pipelines, pressurized vessels, heat exchangers with boiling or condensation in tube bundles.

Assigned hours

Total assigned hours: 75

Active teaching (theoretical)

New material: 20
Elaboration and examples (recapitulation): 10

Active teaching (practical)

Auditory exercises: 15
Laboratory exercises: 15
Calculation tasks: 0
Seminar paper: 0
Project: 0
Consultations: 0
Discussion/workshop: 0
Research study work: 0

Knowledge test

Review and grading of calculation tasks: 0
Review and grading of lab reports: 5
Review and grading of seminar papers: 0
Review and grading of the project: 0
Test: 5
Test: 0
Final exam: 5

Knowledge test (100 points total)

Activity during lectures: 5
Test/test: 35
Laboratory practice: 30
Calculation tasks: 0
Seminar paper: 0
Project: 0
Final exam: 30
Requirement for taking the exam (required number of points): 30

Literature

Whalley, P.B., Two-Phase Flow and Heat Transfer, Oxford University Press, Oxford, 1996.; Wallis, G.B., One-Dimensional Two-Phase Flow, McGraw-Hill, New York, 1969. ; Clift, R., Grace, J.R., Weber, M.E., Bubbles, Drops and Particles, Academic Press, New York, 1978.; Delhaye, J.M., Giot, M., Rietmuller, M.L., Thermalhydraulics of Two-Phase Systems for Industrial Design and Nuclear Engineering, McGraw-Hill, 1981.; Stevanovic, V., Thermal-Hydraulics of Steam Generators – Modelling and Numerical Simulation, University of Belgrade, Faculty of Mechanical Engineering, 2006.