Yakovenko V. The modeling of transport processes in the areas with moving boundaries under the action of high-frequency energy

Research object - the processes of energy transfer microwave electromagnetic fields, heat and mass in regions with moving boundaries. The purpose - development of the theory of mathematical modeling of transport processes in materials for regions with moving boundaries under the influence of energy of electromagnetic fields and microwave frequencies and improve the effective application of computational methods to solve the problems of modeling. Methods: to achieve this goal developed a method that combines a modified analytical method of finite integral transformations, computational methods, and method of dynamic programming. Theoretical and practical results: the proposed new integrated approach to mathematical modeling of processes materials processing power microwave frequency electromagnetic fields, which allow to take into account thermophysical properties, speed limits of different physical environments in the cells open and closed types. Scientific novelty: the first time: A mathematical model of process materials processing power microwave frequency electromagnetic fields; formulated class of problems modeling transport processes under the influence of electromagnetic fields of ultrahigh frequency for partial differential equations of parabolic, hyperbolic and elliptic types, developed a general method for solving a class of problems formulated mathematical physics equations for parabolic, hyperbolic and elliptic types, sophisticated method of finite integral transformations to determine the functions of transfer of electricity, heat and mass in regions with variable boundaries, methods of calculating the optimum heating considering viscous-elastic material properties and convective heat transfer in channels of different cross-section, mathematical models of the drying material, heat transfer during processing, heating, sintering materials including the impact velocity of propagation of heat, further elaborated: the theory of mathematical modeling of materials processing power microwave frequency electromagnetic fields, taking into account thermophysical properties of materials and thermal processes, the source which is the phase transformations in the material, speed limits of different physical environments, the use of computational methods for solving the Cauchy problem and boundary value problem of systems of ordinary differential equations in domains with moving boundaries, technical and economic optimization and application of microwave technology in a cyclic process of the environment. The practical significance of research results confirmed their introduction: in the State Design Office "Yuzhnoye" name M.K.Yangel"; on Government Enterprise "Production association "Yuzhniy machinostroitelniy zavod" name A.M. Makarov", in the agricultural enterprise "Mriya"; in the learning process of Academy of Customs Service of Ukraine.