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 192
- Downloads 0
CRYSTAL STRUCTURE AND HIRSHFELD SURFACE ANALYSIS OF A ONE-DIMENSIONAL COORDINATION ORGANIC/INORGANIC HYBRID [(MoO3)(biim)]n
A new one-dimensional organic/inorganic hybrid [(MoO3)(biim)]n has been synthesized by a hydrothermal method in a reactor Parr. Its structure was characterized by FT-IR spectroscopic studies and single-crystal X-ray diff...
METHOD OF ALIGNING THE LURCHES OF OBJECTS WITH LARGE-SIZED FOUNDATIONS AND INCREASED LOADS ON THEM
The basic scheme for calculating the bottoms of large-sized foundations is at present a scheme of a linearly deformed layer of finite thickness. A large operational experience and the results of long-term observations fo...
NUMERICAL SIMULATION OF HEAT TRANSFER PROCESSES IN LINING AND OPTIMIZATION OF HEAT WORK OF THE UNIT
The features of heat and mass transfer inlining of high-temperature tunnel kiln for the burning of refractory materials are revealed by numerical simulation of heat transfer processes. Use of modern computer calculation...
HYDROCHEMICAL CHARACTERIZATION OF URBAN SPRING WATERS FROM TIJUCO STREAM, SUB-BASIN OF RIBEIRÃO DO ONÇA, CENTRAL-NORTH REGION OF BELO HORIZONTE
This work focuses on drawing up the hydrochemical profile of water samples collected in five springs of the Tijuco stream. The evaluation was based on quantification of the elements Al, As, Ba, Be, B, Ca, Cd, Co, Cr, Li,...
THE INCREASING OF WORK EFFICIENCY OF MIXING MACHINES
The article describes the effectiveness of the mixing apparatus of feed additives for animals with a horizontal and vertical mixing device. The characteristics of the interaction of a particle with a mixer blade are cons...