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.
Authors and Affiliations
Keywords
Related Articles
- EP ID EP503203
- DOI -
- Views 188
- Downloads 0
MODIFICATION OF EXPANDED PERLITE WITH ORTHOPHENANTHROLINE FOR FORMATION OF ACTIVE SITES FOR ACID DYES: PREPARATION AND CHARACTERIZATION
The expanded perlite (aluminosilicate naturally acid) has been modified with orthophenanthroline (Lewis base). The material was characterized by TG/DTA, XRD and IR. The thermogravimetric curve of the modified expanded pe...
ASSESSMENT OF PRE-SERVICE PRIMARY TEACHERS’ PEDAGOGICAL KNOWLEDGE IN ELEMENTARY SCIENCE: EFFECTS FROM SCIENCE EDUCATION TRAINING
Pedagogical knowledge (PK) can be understood as the set of educational analysis and instructional technics; and also, management strategies that primary teachers use to teach. For its assessment, a previously validated i...
SPATIAL EVALUATION OF THE WATER QUALITY FROM THE VELHAS RIVER CHANNEL, IN THE STATE OF MINAS GERAIS
This study presents an evaluation of the water quality variability of 19 monitoring stations located in the channel of the Velhas river, using multivariate statistical techniques - Cluster Analysis (CA) and Principal Com...
DETAILED LITHOFACIES ANALYSIS OF PAY ZONES OF LAYER Y11 AS A TASK OF PETROLEUM FIELD GEOLOGY
The determination of facies by material composition and structural and textural features contributes to the determination of minerals. That’s why it was studied lithofacies analysis of pay zones of the Y1 layer, which is...
CHEMICAL AND PHYSICOCHEMICAL CHANGES WITH SUCCESSIVE APPLICATIONS OF RAW DOMESTIC SEWAGE AS A FINAL DISPOSAL ALTERNATIVE OF FORAGE CULTIVATION
Considering the significant expenses with fertilizer and irrigation, the use of wastewater in fertirrigation has been studied as an alternative, since it can supply part of the water demand and provide nutrients to the p...