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 193
- Downloads 0
ANALYTICAL AND NUMERICAL STUDY OF HEAT AND MASS TRANSFER IN COMPOSITE MATERIALS ON THE BASIS OF THE SOLUTION OF A STEFAN-TYPE PROBLEM
An analytic solution of a Stefan-type problem with one non-stationary moving boundary of phase transformations simulating linear heat transfer in an inhomogeneous medium is considered. In simulating the heat and mass tra...
BIOTECHNOLOGICAL APPROACHES IN PROCESSING OF SECONDARY RAW MATERIALS OF MEAT INDUSTRY
The radical change in the quality of the processed meat raw materials, which does not meet the standards, calls for the necessity to apply biotechnology methods in order to improve the quality and obtain high nutritional...
EVALUATION OF NEW STRAWBERRY LINES FOR FRUIT QUALITY TRAITS
In recent years, inbreeding has been increasing the attention to obtaining new varieties of fruit crops with high nutritional and tasting quality of fruits. The purpose of this study was to evaluate a number of selected...
STUDY OF LOW COST MATERIALS FOR THE ENHANCEMENT OF SOLAR SEAWATER DESALINATION
Highly efficient water evaporation under solar illumination is of key importance for the performance of seawater desalination stills. Thermal vapor generation efficiency increases markedly through thermal insulation of t...
Extraction, CHEMICAL CHARACTERIZATION and ANTIMICROBIAL POTENCY of ESSENTIAL OIL of TAHITI lemon (Citrus latifolia Tanaka)
The increase in bacterial resistance to antibiotics induce the emergence of more virulent strains, with ability to cross natural barriers of defense of the organism and of becoming pathogenic, even when present in low nu...