Registration Number
0218U003448,
0115U003566
, R & D reports
Title
Creation and research of mathematical models of transfer processes in regular and irregular disperse structures, continuum models of nanomechanics and mathematical methods of processing experimental data
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Head
Pyanylo Ya.D., Chaplya Ye.Ya., Chernukha O.Yu.,
Registration Date
15-02-2018
Organization
Centre of Mathematical Modelling Institute of Applied Problems Mechanic and Mathematic named after Ya. S.Pidstryhach NAS Ukraine
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Object of research - mathematical models of processes: heat-mass transfer, local physical changes (degradation, decay, phase, mass displacement, etc.) and mechanical, biomechanical and electromagnetic processes, in bodies with microstructure; as well as methods for processing experimental data. The purpose of the work is development of methods of construction and research of mathematical models of processes of heat and mass transfer, local physical changes (degradation, decay, phase, mass displacement) and mechanical, biomechanical and electromagnetic processes, in bodies with microstructure; as well as methods for processing experimental data. Methods of research - methods of nonequilibrium thermodynamics, continuum mechanics, functional analysis, mathematical physics and differential equations and generalized functions. Main results. A mathematical model of dynamic behavior of a longitudinally heterogeneous viscoelastic rod under the action of longitudinal forces was constructed and investigated. A mathematical model of diffusion in two-phase randomly non-uniform layered bodies is proposed and studied, taking into account jumps of concentration and its derivative on the boundaries of phase contact at different phase configurations. A complete nonlinear system of equations of the model of physical processes during the cascade decomposition of diffusing substances was constructed and studied. The proposed minim max spline approximation for approximation in the low temperature region, applying exponential exponential and exponential expressions, and for higher temperatures, is a polynomial approximation. Adaptive numerical-analytic iterative methods for solving problems of mathematical physics in finding the flow distribution of gas are constructed and studied. The algorithms of detection of latent periodicity and calculation of their parameters in competitor activity of athletes are offered. A mathematical model was developed for studying physical fields in elastic bodies, taking into account the roughness of their surface, and established regularities in thin films, fibers and small particles. A closed system of equations of a gradient model of elastic solids and viscous compressible liquids is formulated and used for studying near-surface and dimensional effects in a ball and a layer of viscous fluid. The mathematical models of drying process of dense packing of layers of homogeneous and double-layered grain for convective pulsed drainage were constructed. Field of application: Ecology, geophysics, medicine, microelectronics, mechanical engineering, technology of drying granular materials, etc.
Product Description
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Білущак Юрій Ігорович
Гайвась Богдана Іванівна
Гера Богдан Васильович
Грицина Ольга Романівна
Лопатьєв Анатолій Олександрович
Лянце Ганна Теофілівна
Малачівський Петро Стефанович
Нагірний Тарас Семенович
Торський Адріан Романович
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2020-04-02
