• Semester 6, position 3

Achievement of basic academic competence in the field of turbomachinery. Obtaining fundamental theoretical and practical knowledge about the principles of energy transfer process in turbomachinery. Mastering the knowledge of the essential components, proprieties and particularities of various types of turbomachinery. Development of the ability to apply turbomachinery in various energy systems and to calculate their main parameters by the acquired basic knowledge use.

On successful completion of this course the students will be able to: - recognize different types of turbomachinery and describe the principles of their operation in various power plants and energy systems, - explain fundamental fluid flow and thermodynamic processes in turbomachinery, - describe and differentiate the essential components of various turbomachinery (hydraulic turbines, pumps, fans and turbocompressors) from the point of their functioning and roles in the energy transfer process, - define and calculate main specific geometry and energy parameters of turbomachinery, - develop and implement the acquired knowledge in order to efficiently continue further improvement in the specialized courses for each particular type of turbomachinery.

Definition and classification of turbomachinery. Principles of turbomachinery operation. Theoretical basis of fluid mechanics and thermodynamics within energy transfer process in turbines, pumps, compressors and fans. Energy balance. Main parameters – discharge, specific work (head, isentropic, polytropic, real work), pressure ratio, torque, powers and efficiencies. Euler equation for turbomachinery. Description of essential components of radial-flow, mixed-flow and axial-flow turbomachinery. Absolute and relative fluid flow in impeller/runner. Velocity triangles. Similarity laws and dimensional analysis applied at turbomachinery operating with compressible and incompressible flows. Definition and application of dimensionless turbomachinery parameters – specific performance factors. Cavitation in turbomachinery (net positive suction head, cavitation coefficient and determination of the suction height). Operation characteristics of hydraulic and thermal turbomachinery. Overview of practical implementation and application of turbomachinery in plants and systems in various fields of engineering (hydropower, thermal power, thermal science, process, aerospace, railway mechanical, motor vehicle, naval). Overview of contemporary trends in development of turbomachinery.

Auditory exercises and calculation examples: Fundamentals of turbоmachinery operation. Historical development, classification, properties and application of turbomachinery. Energy balance. Calculation of basic and main parameters of turbines, pumps, fans and compressors - specific work (isentropic, polytropic, real, head), discharge, torque, powers, efficiencies, hydraulic and mechanical power losses. Application of Euler equation for the turbomachinery. Determination of velocity triangles, relation between specific works of turbomachinery unit and impeller/runner, the degree of reaction and main construction dimensions. Determination and application of unit and specific turbine dimensionless parameters in practice. Calculation of suction height. Explanatory exercises in the laboratory for hydraulic machinery and energy systems: presentation of different types of turbomachinery constructions, essential components and their functions. Installations for testing turbines, pumps, fans and compressors. Presentation of numerical experiment – the fluid flow simulation in turbomachinery using the contemporary CFD techniques. Visiting the electric power systems, waterworks and process industry with the aim of demonstrating the practical operation of turbomachinery in the installations and plants.

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Books listed in the literature and more. Auditory exercises handouts. Laboratory hydraulic machines and energy systems - devices, installations for testing turbines, pumps, fans, measuring equipment and exhibits Faculty Computer Classroom

Total assigned hours: 75

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

Auditory exercises: 10
Laboratory exercises: 5
Calculation tasks: 13
Seminar paper: 0
Project: 0
Consultations: 0
Discussion/workshop: 2
Research study work: 0

Review and grading of calculation tasks: 6
Review and grading of lab reports: 0
Review and grading of seminar papers: 0
Review and grading of the project: 0
Test: 4
Test: 0
Final exam: 5

Activity during lectures: 5
Test/test: 40
Laboratory practice: 5
Calculation tasks: 10
Seminar paper: 0
Project: 0
Final exam: 40
Requirement for taking the exam (required number of points): 30

N. M. Obradović: Osnove turbomašina, Građevinska knjiga, Beograd, 1973; Крсмановић Љ., Гајић А., Турбомашине - теоријске основе, Машински факултет, Београд 2005.; Милун Ј. Бабић, Светислав Стојковић: Турбомашине - теорија и математичко моделирање, Просвета, Београд, 1997.; Milun J. Babić: Zbirka rešenih zadataka iz turbomašina, Naučna knjiga, Beograd, 1990.; Гајић А., Пејовић С.: Турбомашине - Илустративни и испитни задаци, Машински факултет, Београд, 1993.