• Motori SUS, Semester 2, position 4

Theoretical background in turbomachinery basic principles. Practical, engineering knowledge in turbomachinery and their applications, with focus on rotodynamic pumps, fans and turbocompressors.

Upon successful completion of this course, students should be able to: 1. identify and describe the various types and constructions of turbomachinery, as well as the principles of their work, 2. calculate and apply dimensionless parameters (characteristic coefficients), 3. determine the duty point of the hydraulic turbomachine and system, 4. select the appropriate pump or fan, as well as the most energy efficient way of their regulation, 5. calculate the pump duty point in terms of cavitation, 6. calculate the thermodynamic and energy parameters of the turbocompressor, 7. plan the fan testing according to the international standard.

Description of various types of turbomachines. Design of hydraulic machinery and turbocompressors. Main geometry characteristics. Definition of the quantities for energy balance. Euler equation for turbomachines. Thermodynamic basis of turbocompressors. Expressions for power and energy efficiency rates for hydraulic machines and turbocompressors. Similarity law. Dimensionless quantities. Slip factor definition. Definition of the degree of reaction. Cordier diagram. Cavitation. Calculation of the basic geometry parameters of turbopumps, fans and turbocompressors. Application of pumps and fans in various facilities - determination of the system and machines duty points. Regulation of the operation of the pumps, fans and turbocompressors. Unstable Q-H curves. Optimal parameters determination for increasing system energy efficiency. Calculation of the fan-electromotor start time. Sealing. Influence of the working fluid properties on the pump and fan characteristics. International standards for testing of the fans and turbopumps. Operating curves of hydraulic turbo transmission.

1. Exercises: Application and regulation of the turbopumps and fans. Determination of the system and machine duty points. Selection of the pumps and fans. Thermodynamic analysis for turbocompressors. Dimensionless quantities determination (pumps, fans and turbocompressors). 2. Presentation of the axial turbocompressor project. 3. Laboratory exercises: 3.1. Demonstration in the Laboratory for hydraulic machinery: - pumps, hydraulic turbine, fans, hydraulic turbo transmission and turbcompressors - constructions - systems with turbomachines. 3.2. Exercises: Determination of the pump/fan energy characteristics.

Passed exams: Fluid Mechanics B and Thermodynamics B.

1. Books listed in literature and reference list available for students. 2. Lectures and exercises outlines. 3. Instructions for design of the multistage axial turbocompressor and centrifugal pump. 4. Laboratory with test rigs and measurement equipment for hydraulic turbomachinery - pumps, turbines, fans, hydraulic turbo transmission, as well as turboblowers and turbocompressors.

Total assigned hours: 75

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

Auditory exercises: 21
Laboratory exercises: 3
Calculation tasks: 6
Seminar paper: 0
Project: 0
Consultations: 0
Discussion/workshop: 0
Research study work: 0

Review and grading of calculation tasks: 5
Review and grading of lab reports: 0
Review and grading of seminar papers: 0
Review and grading of the project: 1
Test: 4
Test: 0
Final exam: 5

Activity during lectures: 0
Test/test: 60
Laboratory practice: 10
Calculation tasks: 0
Seminar paper: 0
Project: 0
Final exam: 30
Requirement for taking the exam (required number of points): 30

Protić Z., Nedeljković М. (2021): Pumps and fans, Problems, solutions, theory, 7th edition, Faculty of Mechanical Engineering, Belgrade (in Serbian); Obradović N. (1962): Fundamentals of turbomachinery, Građevinska knjiga, Belgrade (in Serbian); Genić S.,Stamenić M.,Živković B.,Čantrak Đ.,Nikolić A.,Brdarević Lj. (2017):Manual for energy managers' training in the industry energetics,Fac. of Mech. Eng.,University of Belgrade,Belgrade (in Serb); Babić М., Stojković S. (1992): Turbomachinery, Prosveta, Belgrade. (in Serbian); Logan E. Jr. (1993): Turbomachinery, Basic theory and applications, 2nd edition, Marcel Dekker, Inc., New York