MATHEMATICAL MODELING OF THE STEFAN'S PROBLEMS WITH THE DETERMINATION OF THE COORDINATES AND THE VELOCITIES OF THE DYNAMICALLY MOVING BORDERS OF PHASE TRANSFORMATIONS
Journal Title: Periódico Tchê Química - Year 2018, Vol 15, Issue 0
Abstract
Dynamic problem of heat conduction in multiphase media with many dynamically moving boundaries of phase transformations, the coordinates and velocities of which are not known in advance and are determined based on experience considering heat flow balances at moving boundaries of phase transformations after determining the temperature fields inside each phase. The urgency of this kind of problem is explained by the various problems of designing thermal protection from composite materials for hypersonic aircrafts upon absorption of thermal energy due to physical and chemical transformations in area constrained by dynamically moving boundaries. Determining the coordinates and velocities of the moving boundaries of phase ransformations is reduced to solving a system of transcendental equations in an amount equal to the number of dynamically moving boundaries. Examples of calculations are given below.
Relative Sustainability of the Altai Transborder Ecosystems
Mountainous natural complexes of Altai cross-border territory is a unique object of studies into their durability against an external impact since they represent a complex mosaic structure. Authors used an integral chara...
KINETIC STUDY IN REMOVAL OF DYE IN AQUEOUS SOLUTION BY THE BABASSU COCONUT CHARCOAL MODIFIED WITH CITRIC ACID
Dyes are among the class of compounds considered dangerous to aquatic flora and fauna, thus it is important to treat waste water contaminated by this substances. Among different treatment techniques, adsorption shows an...
PROPOSAL FOR SIZING A WATER SUPPLY SYSTEM FOR ALGODOAL DISTRICT IN ABAETETUBA CITY - PARÁ
Water is a natural resource indispensable to the life of every human being. However, supply issues may cause lack of water in some localities. Thus, the objective of this paper was to carry out a new proposal for the siz...
RATIONALE FOR WATER SOIL WASHING TECHNOLOGIES BY GROWTH REGULATION
When irrigation of land in the arid zone, one of the mandatory elements for maintaining the water-salt balance is soil washing. At present, washing standards are calculated and recommended for different soils. However, t...
STRUCTURAL CHARACTERIZATION OF THE NEW DIAMOND-LIKE SEMICONDUCTOR CuNbGaSe3
The chalcogenide compound CuNbGaSe3, belonging to the system I-II-III-VI3, has been investigated by means of X-ray powder diffraction and its crystal structure has been refined by the Rietveld method.This is a material o...