• Hidroenergetika, Semester 1, position 1

Introduction of theoretical knowledge of fluid flow in turbomachinery. Studying of energy and exploitation characteristics of turbomachinery in dimensional and non-dimensional forms and their application in mechanical systems. Obtaining of practical skills application of hydraulic turbines, pumps, fans and turbocompressors in power systems.

On successful completion of this course, students should be able to: 1. Identify and describe the different types and designs of turbomachinery (hydraulic turbines, pumps, fans and turbocompressors), 2. Explain the flow process and exchange of energy in turbomachinery, 3. Identify and analyze energy and exploitation characteristics of turbomachinery, 4. Explain the cavitation phenomenon in pumps and hydraulic turbines.

- Description, classification, and the working principle of turbomachinery. - The principles of energy exchange анд еnergy balance in turbomachinery. Phenomena in fluid flow in turbomachinery. - Тhe theoretical basis of thermodynamic. Multi-stage compression in the compressors (work and efficiencies). - Definition of the internal work and impeller work. Euler equation for turbomachinery. Specific hydraulic energy. - The impact of the impeller outlet angle on the impeller head and on the reaction factor. - Impeller head reduction - the impact of a finite number of blades. - Powers and efficiencies of pumps. Losses in turbomachinery. - The laws of similarity. Characteristic coefficients of turbomachinery. - Cavitation - phenomenon, stages. Cavitation reserve. The cavitation coefficient. - Control of turbomachinery. - Hydro (aero) profiles. Method of lifting surfaces.

Turbomachinery in hydraulic, ventilation and compressor systems. Different types of runners and impellers. Exploatation of turbomachines. Laboratory exercises - showing turbomachinery constructions and description of the role of individual parts. Calculation examples of the lectured material: Calculation of specific hydraulic energy of pumps, fans and compressors. Euler equations for turbomachines. Powers and efficiencies of turbomachinery. Operating characteristics of turbomachinery. The laws of similarity and non-dimensionless characteristics. Cavitation reserve. Control of turbomachinery.

Compulsory examinations passed: Fluid Mechanics, Thermodynamics. Preferred exams passed: Basis of Turbomachinery, Pumps and Fans.

Lectures in written and partially in electronic form, handouts for the exercises.

Total assigned hours: 75

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

Auditory exercises: 10
Laboratory exercises: 10
Calculation tasks: 0
Seminar paper: 10
Project: 0
Consultations: 0
Discussion/workshop: 0
Research study work: 0

Review and grading of calculation tasks: 0
Review and grading of lab reports: 0
Review and grading of seminar papers: 10
Review and grading of the project: 0
Test: 0
Test: 0
Final exam: 5

Activity during lectures: 10
Test/test: 0
Laboratory practice: 0
Calculation tasks: 0
Seminar paper: 40
Project: 0
Final exam: 50
Requirement for taking the exam (required number of points): 30

Ljubisav Krsmanović, Aleksandar Gajić: Turbomachinеry: theoretical fundamentals, Faculty of Mechanical Engineering in Belgrade, 2005.; Miroslav Benišek "Hydraulic Turbines," Mechanical Engineering in Belgrade, 2020.; Zoran Protić, Miloš Nedeljković: Pumps and fans: problems, solutions, theory, Faculty of Mechanical Engineering in Belgrade, 2021.