Koneva S. 3. Development of methods for analysis and calculation of temperature control processes of heat carrier in spatial one- dimensional heat exchangers.

The thesis deals with a number of essential tasks in the field of theory and designing of spatial one dimensional heat exchangers and heat exchanger automatic control system that are widely used in engineering and industry. The typical elements of their mathematical presentation are the systems of differential equations in partial derivatives causing difficulties of mathematical part of research. Performance of these tasks is carried out by means of theoretical methods of analytical functions and Laplas theory of transformation. It enables to obtain the description of the system in terms of transfer functions. Transfer functions of objects studied are complex analytical ones, that are not considered to be of rational class of functions. This fact does not allow to apply classical methods for analysis of stability and quality of systems studied. The tasks of dynamic analysis of heat exchanger and automatic control system are characterized by adequate reflection of analytical properties of transfer functions that takes into account their specific features. Exponential ratings of dynamic characteristics processes of stable automatic control systems of heat exchangers enable to use traditional methods of automatic control system analysis (stability and quaity) with the class of stud ied system. Theoretical provisions and approaches enabling to consider main analytical nature of images are presented in practical schemes and calculating methods of heat exchangers and automatic control systems of heat exchangers. The correct form of methods proposed is supported by calculating experiment of making up the fields of stability as well as analysis of stability and quality of automatic control systems with convection type heat exchangers.