• Zavarivanje i zavarene konstrukcije, Semester 1, position 5
• Procesna tehnika i zaštita životne sredine, Semester 1, position 5
• Hidroenergetika, Semester 1, position 5
• Mechanics, Semester 1, position 5

The goal of studying the subject is to learn and study important engineering problems related to the pipeline transport of fluids, and especially to the calculation methods of water pipelines, oil pipelines, gas pipelines and steam pipelines. The goal is also to get acquainted with the problems of: water hammer, corrosion of pipelines, methods of pipe support and techno-economic analysis of pipeline transport.

As a result of studying the subject, mastering theoretical assumptions, physical laws, approximations and calculation methods of one-dimensional fluid flows through special purpose pipelines, such as: water pipelines, hot water pipelines, oil pipelines, gas pipelines and steam pipelines. As a result of the course, practical knowledge is obtained to solve technical problems: water hammer in pipelines, corrosion of pipelines, thermal expansion of pipelines and ways of supporting pipes.

Physical properties of fluids, density and viscosity. Basic equations of one-dimensional flows in pipes. Flow losses. Friction coefficient, exact and approximate formulas, empirical methods, time effects on the change of friction coefficient. Calculation of branched and ring networks. Methods: Hardy-Cross, linearization and Newton-Raphson. Flow measurement in waterworks. TRANSIENT PROCESSES IN HYDROSYSTEMS. Water hammer.1D model of unsteady fluid flow. Speed ​​of sound in elastic tubes, and in the presence of undissolved gases. The influence of pipeline geometry on the speed of sound. Methods of protection against water hammer. Method of characteristics. TRANSPORTATION OF HEATED LIQUIDS Oil pipelines and hot water pipelines. Fluid temperature change along the pipeline. Ways of determining the pressure drop. OIL PIPELINES Deposits and composition of oil. Rheological model. Isothermal stationary oil flow. Temperature change along the oil pipeline at different current and thermal parameters. Determining the pressure drop of non-isothermal oil flow.

Energy flow losses. General form of Darcy's formula. Determination of the coefficient of friction. Transient processes in hydrosystems. Speed ​​of sound in elastic tubes. The influence of the tube support method on the speed of sound. Determination of the speed of sound in a liquid in the presence of undissolved gases. OIL PIPELINES Deposits. Determination of pressure drop. GAS PIPELINES Gathering, main and measuring-regulating stations. 1D model of isothermal and adiabatic flow with friction and inviscid flow with heat exchange.

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Total assigned hours: 75

New material: 25
Elaboration and examples (recapitulation): 5

Auditory exercises: 25
Laboratory exercises: 0
Calculation tasks: 5
Seminar paper: 0
Project: 0
Consultations: 0
Discussion/workshop: 0
Research study work: 0

Review and grading of calculation tasks: 0
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: 15

Activity during lectures: 0
Test/test: 50
Laboratory practice: 0
Calculation tasks: 0
Seminar paper: 0
Project: 0
Final exam: 50
Requirement for taking the exam (required number of points): 10

Marko Ivetic: Flow in pipes, Faculty of civil engineering, Belgrade, 1996 (in Serbian); Mane Sasic: Pipeline transport, Faculty of Mechanical Engineering Belgrade 1992 (in Serbian)