A Mathematical Model of Extruding Biopolymer Material in Single-Screw Extruder

摘要

Extrusion processing is widely used for plant materials. We found that the plant materials in the extrusion process can be regarded as polymers of biological origin. This chapter considers the issue of traffic modeling biopolymer material in the area of seals and melting of single screw extruder, i.e., in the screw channel of the Auger. In this zone, the biopolymer material has properties of a pseudoplastic body. To simulate the movement of biopolymer material in the extruder, a single-screw applied element method has required invariants with respect to changes in the design parameters. To calculate the stress state of an extruded material and sealing zone, the melting extruder is divided into finite elements. By assuming that the sum of the forces and the sum of the moments of forces acting on elements equal to zero, we received systems of equilibrium equations. The received systems of equations are solved with boundary conditions, in which the design of the screw extruder and extrusion technology are used. The system receives a supplemental energy balance and rheology. Shear velocity y of rheological material is expressed through shear stress t. Moreover, we compiled a version of rheological equations, which includes material temperature. The obtained numerical solution of systems of equations are used in the calculation of parameters of a single screw extruder during its design. The mathematical model of movement of biopolymer material in the working zone melting extruder screw and seals, describes the physical properties of the material extruded to reflect a change in its states. A method formalized the process of extruding biopolymers, based on finite element analysis, which realized a single algorithm, the extruded properties of the material and extrusion technology for structural parameters of a single screw extruder. This allowed us to realize dependencies for calculation of design parameters of single screw extruders. Further research will seek to identify