Pumps

• Hidroenergetika, Semester 1, position 2

Acquiring the knowledge of engineering application of pumps as machines for raising the energy to fluid. Ability to work in practice on various types of installations, as well as to design installations that contain a pump 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, 2. calculate the energy parameters of the pump, 3. calculate and apply dimensionless parameters (coefficients) of the pump, 4. determine the duty point of the system, 5. apply the energy characteristics of the pump when coupling and regulating the pump, 6. apply the most energy efficient way of regulation of the pumps, 7. choose the adequate pump, 7. calculate the cavitation reserve of the pump and plant.

Description of pumps. Energy balance. Defining internal head, impeller head and head. Definition of the pump head. Determination of the pump head by definition and according to the Bernoulli equation. Euler's equation for turbomachinery. Influence of output angle on impeller head and impeller reaction. Reduction of impeller head - the impact of the final number of blades. Powers and efficiency rates of pumps. Similarity laws. Coefficients of pump. The main flow phenomena in turbomachinery. Turbulent swirl flow phenomenon. The spiral casing. Classification of pumps by types. Cavitation. Cavitation reserve. Cavitation coefficient. Determination of the pump suction head. Influence of liquid viscosity on pump operating characteristics. Calculation of basic dimensions of pumps. Sealing at pumps. Coupling and regulation of pumps. Selection of pumps. Pump testing. Pumps in various facilities. Piston pumps - description, classification and principle of operation. Uneven flow. Indicator diagrams. Determination of power and pumping height. Description of rotary piston pumps.

Computational examples: Energy balance. Determination of pump head in the plant and according to the route of the pipeline. Euler's equation for turbomachinery. Degree of reaction. Slip factor. Powers and efficiency rates of pumps. Similarity laws. Coefficients of pumps. Determination of pump suction head. Operation and regulation of pumps in simple and complex pipelines. Pumps in various plants. Demonstration laboratory exercises: Institute (laboratory) for hydraulic machinery - demonstration of pump constructions and description of the role of individual parts. Pump installations and description of their work.

Passed Fluid Mechanics B.

1. Protić Z., Nedeljković M. (2021): Pumps and fans. Problems, solutions, theory, 7th ed. Faculty of Mechanical Engineering, University of Belgrade, Belgrade. 2. 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) 3. 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 М. (2021): Pumps and fans, Problems, solutions, theory, 7th edition, Faculty of Mechanical Engineering, Belgrade (in Serbian); Babić М, Stojković S. (1992): Turbomachinery, Prosveta, Belgrade (in Serbian).; 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)