ID: 1423
Course type: theoretical and methodological
Course coordinator: Čantrak S. Đorđe
Lecturers: Janković Z. Novica, Čantrak S. Đorđe
Contact: Čantrak S. Đorđe
Level of studies: M.Sc. (graduate) Academic Studies – Mechanical Engineering
ECTS: 6
Final exam type: written+oral
Department: Department of Hydropower Engineering
Acquiring the knowledge of engineering application of pumps and fans as machines for raising the energy to fluid. Ability to work in practice in various industries, as well as to design installations that contain a pump or fan as a built-in element with its function.
Upon successful completion of this course, students should be able to: 1. recognise and describe various types and designs of pumps/fans, 2. calculate the energy parameters of the pump/fan, 3. calculate and apply dimensionless parameters (coefficients) of the pump/fan, 4. determine the operating point of the system and pump/fan, 5. choose the adequate pump/fan, 6. apply the energy most efficient way of regulation of the pump/fan when coupling, 7. calculate the cavitation reserve of the pump and facility, 8. calculate the characteristics of the fan at a different density.
Description of pumps and fans (PV). Energy balance. Defining internal head, impeller head and head. Definition of the PV head. Determination of the PV head by definition and according to the Bernoulli equation. Euler's equation for turbomachinery. Influence of the impeller outlet angle on impeller head and impeller degree of reaction. Reduction of impeller head - the impact of the final number of blades. Powers and efficiency rates of PV. Similarity laws. Coefficients of PV. The main flow phenomena in turbomachinery. Turbulent swirling flow phenomena. Classification of PV by types. Cavitation. Cavitation reserve. Cavitation coefficient. Determination of pump suction head. Influence of working fluid properties on PV characteristics - influence of liquid viscosity on pump operating characteristics, and influence of gas density on fan characteristics. Calculation of basic dimensions of PV. Coupling and regulation of PV. Choice of PV. PV testing. Application of PV in various plants. Reciprocating pumps - description, classification and principle of operation. Uneven flow. Indicator diagrams. Determination of power and pumping height. Description of radial piston pumps.
Computational examples: Energy balance. Determination of PV head in the plant and according to the route of the pipeline. Euler's equation for turbomachinery. Slip factor. Powers and efficiency rates of PV. Similarity laws. Coefficients of PV. Cavitation reserve. Determination of pump head. Coupling and regulating PV. PV in various plants. Piston pumps - mode of operation. Demonstration laboratory exercises: Laboratories of the Department for hydraulic machinery and energy systems - demonstration of the PV constructions and description of the role of individual parts. PV installations and description of their work. Demonstration laboratory exercise with a pump facility: operation of the pump with a simple and complex pipeline (determining the duty point of the pump and corresponding flow rates), determining the characteristic curves of the pump and determining the hydraulic curve of the pipeline.
Knowledge of fluid mechanics.
1. Čantrak Đ. (2022): Handouts for the subjects Pumps, Pumps and fans, Turbomachinery, Fans and turbocompressors, The First part, Faculty of Mechanical Engineering, University of Belgrade, Belgrade (only electronic edition) 2. Laboratory for hydraulic machinery - devices, installations, measuring equipment.
Total assigned hours: 75
New material: 20
Elaboration and examples (recapitulation): 10
Auditory exercises: 26
Laboratory exercises: 2
Calculation tasks: 2
Seminar paper: 0
Project: 0
Consultations: 0
Discussion/workshop: 0
Research study work: 0
Review and grading of calculation tasks: 10
Review and grading of lab reports: 0
Review and grading of seminar papers: 0
Review and grading of the project: 0
Test: 0
Test: 0
Final exam: 5
Activity during lectures: 0
Test/test: 70
Laboratory practice: 0
Calculation tasks: 0
Seminar paper: 0
Project: 0
Final exam: 30
Requirement for taking the exam (required number of points): 21
Protić Z., Nedeljković M. (2021) Pumps and fans. Problems, solutions, theory, 7th ed. Faculty of Mechanical Engineering, University of Belgrade, Belgrade. ; Čantrak Đ.S.(2022):Investigation of the Turbulent Rankine Vortex in Pipe behind Axial Fan Impeller Using Optical (PIV and LDA) Measurement Methods and Visualization,NTI,Vol.59,No.1,MTI,Belgrade(Serb); Babić М. (1980): Practical Problems in Turbomachinery, Naučna knjiga, Belgrade, (in Serbian).; Banjac М. et al. (2025), Manual for training of the energy advisors, Faculty of Mechanical Engineering, Belgrade (in Serbian), ISBN 978-86-6060-213-0; 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)