Model results of solidification processes as a bridge between individual sciences are presented. There is a historical analysis of the development of knowledge and methodologies in different sciences. A methodological scientific approach has been used. It is proposed to develop known scientific methodologies with the expansion of new results. Representations are modeling results in low volume solidification. These tasks are convenient in a mathematical description of an additive approach.
Author: Bushev St.
MATHEMATICAL MODELLING OF TECHNOLOGICAL PROCESSES AND SYSTEMS
This article uses mathematical mathematical models of tasks by Stefan and Stefan-Schwarz describing the technologies of IMSCHA "Acad. A. Balevski ". Described are processes for solidifying a drop (droplet) over a surface of a metal substrate. Processes of solidifying of metal melts in the form of spheres having a radius of 50 nm are described. The temperature fields of the open thermodynamic system drop / substrate system are presented. The influence of the change of specific parameters from the hardening process is represented by the type of the temperature field of the OTS.
This article presents that the main result of the final structure molded frosted or casting require the full capabilities of mathematics and a micro-foundry.
This article presents fundamental results in mathematics and mathematical physics on the example of a theoretical model of structure formation in casting. Basic scientific results are innovations for all micro-foundries.
THEORETICAL PROBLEMS IN INNOVATIONS
Presents the basics of methodology to use the full knowledge of micro-producer (personality, micro-foundry) based on: methodology of mathematics, foundations of mathematics and mathematical physics. Example – phase transition of the first order of Stefan’s problems, scattering connection with new structures.