Course: Modelling of Manufacturing Processes

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Course title Modelling of Manufacturing Processes
Course code TUIP/TEZMZ
Organizational form of instruction Lecture
Level of course Master
Year of study not specified
Semester Summer
Number of ECTS credits 0
Language of instruction English
Status of course Compulsory
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Čermák Roman, prof. Ing. Ph.D.
Course content
1. Rheology, Deborah number, viscoelasticity, Newton's and Maxwell's models in tensor form. Tensor analysis of shear flow, shear viscosity, first and second normal stress differences, Weissenberg phenomenon and free surface curvature in tilted trough. 2. Relaxation time, time dependent stress, shear viscosity (dependence on shear rate, time and shear stress). 3. Drag flow and pressure driven flow, dissipation, flow curve (Graessley theory), influence of Mw, polydispersity, branching, temperature and pressure on the flow curve, measured rheological characteristics in shear flow, viscosity models. 4. Capillary rheometer, pressure profile, determination of shear rate and shear stress, Bagley and Rabinowitsch corrections, wall slip. 5. Tensor analysis of uniaxial elongational flow, elongational viscosity, roles and measurements (Cogswell formulas), Rouse relaxation time. 6. Tensor analysis of planar and biaxial elongational flow, film deformation in post die area. 7. Basic equations for flow description, flow analysis between two parallel plates (stress, velocity and pressure profile), effect of non-Newtonian behavior index on velocity profile, finite difference method and finite element method. 8. Designing melt screw pump, determination of output and operating point for melt fed extruder. 9. Analysis of solids conveying (role of friction coefficients), melting (Tadmor model, characterization of melting process, methods of detection of melting instabilities) and melt pumping in extruder (mixing, transport and temperature profile), process modeling. 10. Screw extruder types (conventional and modified single flighted screws, multi-flighted screws, barrier screws, Maillefer screw vs. Barr screw), mixing elements (dispersive and distributive mixing), principle of function. 11. Extrusion dies - division and function, design requirements and criteria, negative phenomena during extrusion - methods for their detection and elimination, influence of die exit geometry on the post die stretching stability. 12. Flat die, principle of function, basic sections of flat die - design requirements, methods and factors influencing melt distribution (die desing, shear and elongational viscosity), process modeling. 13. Profile die, design, principle of function, negative phenomena in profile extrusion, die desing methodology, development of flow channel inside profile die, influence of presure drop and index of non-Newtonian flow behaviour on melt distribution. 14. Annular die, division, principle of function, advantages-disadvantages, rheological design, thicknes distribution, mandrel support die, side-fed die, modeling. 15. Spiral mandrel die, flat spiral die, principle of function, design, basic characteristics, melt distribution, modeling, die design evaluation, port lines. 16. Coextrusion, principle of function, application, basic types of flat coextrusion dies, negative phenomena during coextrusion, principle of their origin and factors that affect them, methodologies to eliminate coextrusion instabilities, modeling. 17. Injection molding, MAD, melt filling process, fountain flow, weld line, melt injection with glass fibers, influence of polymer matrix rheology on fiber orientation, influence of elongational and shear viscosity on injection molding process, jetting, tiger stripes, ghost marks 18. Stability of multicomponent injection, pseudoconcentration model, optimization. 19. Flow analysis in meltblown technology, film blowing, thermoforming and extrusion blow molding, time dependent extensional viscosity. 20. Issues of the extrudate cooling process, energy conservation equation, substantial derivative, Laplace operator, banana effect.

Learning activities and teaching methods
  • Preparation for examination - 50 hours per semester
teaching methods
Knowledge
Individual work of students
Individual work of students
Skills
Individual work of students
Individual work of students
assessment methods
Knowledge
Oral examination
Oral examination
Grade (Using a grade system)
Grade (Using a grade system)
Recommended literature
  • According to the literature listed for the included subjects.
  • According to the literature listed for the included subjects.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester