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

DEVELOPMENT OF A ROBOTIC SORTING NODE – DEVELOPMENT OF AN ALGORITHM FOR THE RECOGNITION OF MATERIALS OF OBJECTS

With the development of computing technology, it became possible to solve a number of problems arising in the course of life, to facilitate, accelerate, improve the quality of the result. The purpose of this work is to s...

SENSITIZATION STUDY IN FRICTION STIR WELDS OF INCONEL® 625

The new challenges of the oil and gas industry require noble materials with chemical stability and greater mechanical properties. Alloy 625, popularly known as Inconel® 625, is used as a cladding material for pipelines a...

MINIMIZING MISCONCEPTION OF IONIZATION ENERGY THROUGH THREE-TIER DIAGNOSTIC TEST

Research about conception and misconception of specific topics in science education is still sightseen among researchers. Ionization energy is one concept that possible generate mis(understanding) for students. Therefore...

SPECTROPHOTOMETRIC EVALUATION OF THE CONCENTRATIONS OF THE NITRATE ION IN WATER RESOURCES OF PARANAGUÁ AND PONTAL DO PARANÁ

Nitrogen is an important chemical element due to biological reactions, including nutrient cycling. This process transforms organic matter into food for plants and other organisms. Some species can absorb the ammonium ion...

PHYSICAL AND CHEMICAL CHARACTERIZATION OF HONEY BEES OF SOME MUNICIPALITIES OF STATE RORAIMA

The objective of this study was to characterize, through the physical-chemical parameters: pH, density, refractive index, moisture, total acidity, electrical conductivity, Lund test and ash, 20 honey bee samples from som...

Download PDF file
  • EP ID EP503203
  • DOI -
  • Views 200
  • Downloads 0

How To Cite

(2018). MATHEMATICAL MODELING OF THE STEFAN'S PROBLEMS WITH THE DETERMINATION OF THE COORDINATES AND THE VELOCITIES OF THE DYNAMICALLY MOVING BORDERS OF PHASE TRANSFORMATIONS. Periódico Tchê Química, 15(0), 377-389. https://europub.co.uk/articles/-A-503203