Analysis of the dynamic characteristics of a single class heat exchanger as a controlled object with distributed parameters

A model of a controlled convective heat exchanger in the class of systems with distributed parameters is considered. The Laplace transformation of the convective heat transfer equations makes it possible to construct a model of a heat exchanger as a control object in the image area. Of interest is the problem of analysing the circulation integral, which is an image of the temperature of the coolant at the outlet of heat exchangers. Possible approaches to the analysis of the integral are considered. One of them consists in isolating the residue at an essentially singular point of the integrand. Another approach to the analysis of the integral is to use the Bessel functions. On this basis, methods for analysing the dynamic characteristics (weight and unit transient functions) of the apparatus are proposed on a rigorous basis that fully takes into account the analytical nature of the images of dynamic characteristics. Along with the indicated representations for the weight g0(t) and unit transition h0(t) functions, a method is proposed for their calculation based on the integration of ordinary linear differential equations of the first order.