Multiphase flow

• Biomedical Engineering, Semester 3, position 5
• Procesna tehnika i zaštita životne sredine, Semester 3, position 5
• Hidroenergetika, Semester 3, position 5

The main objective of the course is to master the knowledge, calculation models and appropriate practical skills that treat the problems of one-dimensional flows of mixtures of fluids and solids in pipes and ducts. In the field of flow of homogeneous and non-homogeneous machinists, important engineering problems are particularly studied, such as: fluidization, pneumatic transport, hydraulic transport, pneumo-hydraulic elevators and problems of particle separation from fluid.

The student has knowledge of a special field of flow of mixtures of fluids and solids. He knows and knows that he uses: characteristic particle shapes, various forms of volume and mass concentration, physical properties of mixtures, deposition rate, critical fluid velocity, and characteristic current magnitudes of one-dimensional flows. The basic outcomes of the course are learning and mastering the calculation skills for different classes of fluid flow of mixtures of fluids and particulates, such as: application of appropriate calculation models that provide basic engineering current parameters: pressure, flow rate, flow rate and pressure drop in pipes and ducts at specific flows: in fluidized beds, hydraulic and pneumatic transport and pneumo-hydraulic lift. An important part of learning outcomes is learning about different modes of transport, selecting and calculating separators.

TRANSPORTATION OF MIXTURES. The concept and types of mixtures. Granulometry. Eulerian and Lagrangian approaches to studying the flow of mixtures. Particle acting forces. Resistance force and Stokes solution for spherical particle. Deposition rate: solitary particles, dilute mixtures and in non-Newtonian fluids. Porosity. Concentrations - volume and mass. Viscosity and density of mixtures. FLUIDIZATION. Fluidization application. Pressure drop in fluidized bed at incompressible fluid flow. Calculation of pressure change in isothermal compressible flow. The first and second critical fluidization velocities. PNEUMATIC TRANSPORT.Application, Advantages and Disadvantages, and Pneumatic Transport Systems. Horizontal pneumatic transport. Fluid lift. FLYING PNEUMATIC TRANSPORT. Isothermal compressible streams of the mixture. Critical Stream Speed. Changing the pipe diameter along the pipeline route. HYDRAULIC TRANSPORT. Suspension rheology. Laminar suspension flow. Hydraulic transport of inhomogeneous mixture in horizontal, vertical and oblique pipelines. Determination of pressure drop during hydraulic transport of mixtures. Application and calculation of pneumo-hydraulic lift. SEPARATORS.EJECTORS.

TRANSPORTATION OF MIXTURES. Particle shape. Form factor. Equivalent particle. The force of resistance. Resistance coefficient. Mass concentration measurement. FLUIDIZATION. The movement of a particle through a fluidized bed. Porosity of fluidized bed. PNEUMATIC TRANSPORT. Change in pressure in an incompressible and compressible fluidized bed as a function of supplementary resistance. FLYING PNEUMATIC TRANSPORT. Pneumatic transport systems. Vacuum cleaners. Dispensers. SEPARATION. Degree of separation. Selection criteria for separator type. Solid material separation chambers. Canvas and electrostatic filters. Cyclones. HYDRAULIC TRANSPORT. Application, division, critical fluid velocity and viscosity of the homogeneous mixture. Hydraulic transport systems. EJECTORS. Application, ejector characteristics. Determination of optimal ejector parameters.

Regular class attendance, completed and defended lab work. It is desirable that the course of Fluid Mechanics M be heard and explained.

Chair Book and Collection (in the library). Laboratory equipment and installations.

Total assigned hours: 75

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

Auditory exercises: 26
Laboratory exercises: 4
Calculation tasks: 0
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: 2
Review and grading of seminar papers: 0
Review and grading of the project: 0
Test: 5
Test: 3
Final exam: 5

Activity during lectures: 5
Test/test: 35
Laboratory practice: 5
Calculation tasks: 0
Seminar paper: 0
Project: 0
Final exam: 55
Requirement for taking the exam (required number of points): 10

Crnojević C., Transport of solid materials through pipes, Faculty of Mechanical Engineering, Belgrade, 2002. (in Serbian); Šašić M., Transport of fluids and solid materials through pipes. Scientific book, Belgrade, 1990. (in Serbian); Šašić M., Calculation of the transport of fluids and solid materials through pipes. Scientific book, Belgrade, 1985. (in Serbian)