• Semester 5, position 5

Mastering the knowledge of the engineering application of pumps and fans as machines for raising fluid energy. Ability to work in practice on simpler installations that contain a pump or fan, as well as to design simpler installations that contain a pump or fan as a built-in element with its own function.

Upon successful completion of this course, students should be able to: 1. recognise and describe various types and constructions of pumps/fans, 2. determine the duty point of pumps/fans in simple systems, 3. calculate energy parameters of pumps/fans, 4. calculate the pump suction height, 5. know how to experimentally determine the pump effort in accordance with the international standard and 6. use the 3D technical documentation of the pump/fan manufacturer to draw the entire plant.

Description of pumps and fans (PV). Energy balance. Defining internal head, impeller head and head. Definition of the PV head. Velocity components in PV. Euler equation for turbomachinery. Determination of the PV head by definition and according to the Bernoulli equation. Characteristic curves of pumps and fans. Powers and efficiency rates of PV. Classification of PV by types. Cavitation. Determination of pump suction head. Determination of the pump duty point in simple hydraulic system. Regulation of the PV (rotation speed and by valve). Determination of the pump head after the international standard ISO 9906. Determination of the fan head after the international standard ISO 5801. Application of PV in various facilities. Pumps and fans soft start. Pumps' sealing. Basics of energy efficiency in the PV systems. 3D modelling of the PV. Using the 3D model of PV to create the technical documentation of the facility in 3D. The use of Computational fluid dynamics (CFD) in PV and facilities with PV.

Computational examples: Energy balance. Determination of the PV head in the facility according to the route of the pipeline. Powers and efficiency rates of PV. Determination of the pump suction head. PV regulation in simple hydraulic systems. PV in various plants. Demonstration laboratory exercises: Laboratories of the Hydraulic machinery and energy systems department - demonstration of PV constructions and description of the role of individual parts. PV installations and description of their work. Laboratory exercise (with report): Determination of pump head when working in two simple hydraulic systems (flow circulation and pumping in the upper reservoir). Demonstration of cavitation in a pumping system. Regulation of the pump by the valve and by changing the rotation speed. Determining power savings.

Knowledge of fluid mechanics.

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).; Krsmanović Lj., Gajić A. (1990): Fans, Faculty of Mechanical Engineering, 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)