Academic Journal

On a Mathematical Model of Melting Metal–Polymer Composites for Injection Molding in a Cylindrical Domain.

Bibliographic Details
Title: On a Mathematical Model of Melting Metal–Polymer Composites for Injection Molding in a Cylindrical Domain.
Authors: Stojanović, Kostadinka, Stevanovic, Vesna, Stevanovic, Malisa, Denić, Nebojša, Milovančević, Miloš
Superior Title: Journal of Vibration Engineering & Technologies; Feb2024, Vol. 12 Issue 2, p1341-1350, 10p
Subject Terms: METAL-filled plastics, MATHEMATICAL models, THERMODYNAMICS, MAXWELL-Boltzmann distribution law, GRANULAR flow, INJECTION molding, INJECTION molding of metals, SILICONE rubber
Abstract: This article devoted the mathematical model of the plasticization process for the injection molding processes in a cylindrical domain influenced from the main thermodynamic characteristics: particle velocity, pressure distribution, particle flow density, and melting temperature. Here is determined a thermodynamic relationship between the particle velocity vector and the scalar pressure function in which the particle velocity is defined by the three-dimensional Maxwell distribution satisfying the energy conservation law. The presented mathematical model has been described via the initial-boundary value problem for second-order parabolic equations in a cylindrical domain. Here the three-dimensional energy conservation law regulates the pressure instability effect according to the particle velocity vector in a turbulent flow. It is a new issue for defining the processing pressure distribution that is provided proofing the theorem of existence and uniqueness of their classical parameters. This result as Maxwell distribution of the particle velocity has great opportunity for studying the transient particle flows in multiscale modeling the thermodynamic diffusivity for the injection moldings processes. In the previous author's research was investigated a weak formulation of the Navier–Stokes problem. [ABSTRACT FROM AUTHOR]
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Database: Complementary Index
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