A method is proposed for determining the temperature dependences of thermal effects (the amount of heat released when the temperature changes) based on data on the temperature-concentration dependences of the free energies of the phases of metallic systems. These dependences are necessary for modeling of the processes of crystallization of alloys. They make it possible to obtain temperature dependences of the dimensions of the thermal effects without introducing the results of measurements of direct calorimetry. The peculiarity of calculating of the temperature dependences of thermal effects upon cooling of binary metal systems from the liquid state to room temperature (including crystallization) is shown using the example of the alloy of the system Pb-Sn.
Author: Donii O.
MATHEMATICAL MODELLING OF TECHNOLOGICAL PROCESSES AND SYSTEMS
The basic principles of functioning of subsystems of the information-technological complex, which is intended for the forecast of structure and properties of the cast metal, are presented. The basis of subsystems are mathematical and simulation models of crystallization. The subsystem of thermal analysis is based on mathematical models, which were developed within the framework of the dynamic theory of metallic castings The subsystem of modeling of crystallization is based on a combination of mathematical models of heat conduction and diffusion with cellular automata. The model makes it possible to investigate in computational experiment the effect of various cooling conditions on the process of formation of the structure during crystallization. The results of computer experiment are shown.
MATHEMATICAL MODELLING OF SOCIO-ECONOMIC PROCESSES AND SYSTEMS
The hypothese concerning encoding of information in the peripheral part of the human’s auricular analyzer are presented. A brief critical analysis of contemporary trends in theoretical concepts concerning principles of work of the cochlea of the inner ear are conducted. Prerequisites for the construction of an alternative theory of coding of information in it are formulated in order to optimize the design and software of cochlear implants. The principle of constructing an imitation model of the generation of electric signals formed in the cochlea of the inner ear are proposed.
Simulation model of crystallization, which is based on combination of mathematical modeling methods and a probabilistic cellular automaton, is presented here. Such combination makes it possible to predict process of metals and alloys structure formation whiles crystallization under various cooling conditions, and also to study this process both in the course of homogeneous and heterogeneous nucleation.