Аналіз процесу індукованого тепломасообміну методом фазового простору

Abstract

Обґрунтовано аналіз процесу тепломасообміну в термостаті методом фазового простору як одного із способів якісного аналізу стану системи. Побудовано фазовий портрет тепломасообміну в термостаті для можливих характерних шляхів еволюції системи. На фазовому портреті ідентифіковано особливі точки. Описано та проілюстровано характерні шляхи еволюції системи між нестійким станом рівноваги та стійким. Відзначено особливості фазових траєкторій тепломасообміну в термостаті за умови реалізації індукованого тепломасообміну.

The purpose of the investigation is the development of theoretical background of the process of the induced heat and mass transfer using phase space method. Getting new experimental data in the study of the induced heat and mass transfer and analysis of the database for the mixed heat transfer drying will make it possible to supplement and generalize information concerning physical mechanism of the induced heat and mass transfer. Generalization of the information and development of phenomenological physical and physico-mathematical models describing kinetic and dynamic regularities, mechanisms and driving forces of heat and mass transfer will allow develop theoretical bases of the induced heat and mass transfer and explain its peculiarities. The result of the development of theoretical bases of the induced heat and mass transfer and its modelling will be, first, identification of the opportunities of its application in different technologies and techniques and, secondly, efficient control of heat and mass transfer according to the chosen purpose of its application The desired results or products with the predetermined qualities are to be obtained. The analysis of heat and mass transfer in thermostat using phase space method is substantiated. The phase space method is one of the ways of qualitative analysis of the system. The temperature of thermostat internal environment, partial pressure of water vapour in it, and ratio of the energy absorbed by the thermostat internal environment to the energy dissipated by this environment are chosen as the generalized phase space coordinates for heat and mass transfer in thermostat. Phase portrait of heat and mass transfer in the thermostat for possible ways of this dynamical system evolution is designed. Specific points on phase portraits are identified: the state of unstable equilibrium, the state of stable equilibrium and bifurcation point. Characteristic ways for the system evolution between unstable and stable equilibrium are described and illustrated. The peculiarities of phase trajectories of the induced heat and mass transfer in the thermostat are specified: availability of the sites in a negative phase trajectory of the phase plane.