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**2** 

**of Heat Exchanger** 

*Faculty of Technical Sciences, Novi Sad* 

D. Gvozdenac

*Serbia* 

**Analytical Solution of Dynamic Response** 

Two-fluid heat exchangers are widely used in almost every energy process such as those in power plants, gas turbines, air-conditioning systems, numerous chemical plants and home appliances. Every change of steady state or starting of a plant causes changes in the system which can considerably affect not only the observed process but also the safety of the plant's operations. In all above cases, it is important to know the dynamic behavior of a heat exchanger in order to choose the most suitable design, controls and operations. The traditional design based on stationary approach has become inadequate and nowadays, more attention is devoted to the analysis of the heat exchanger's dynamic behavior and its design is adjusted to such conditions of work. Although the process control technology has made considerable headway, its practical application requires the knowledge of the

Ever since Profos (Profos, 1943) showed the first dynamic model of a simple heat exchanger and Takahashi (Takahashi, 1951) published the first transfer functions for ordinary heat exchangers, there have been numerous studies of the heat exchanger's dynamic behavior. The historic overview of dynamic modeling is given in (Kays & London, 1984) and (Roetzel & Xuan, 1999) thus, the attention of this paper will be directed exclusively towards the review of some significant works in this area and works which this paper has been

The paper (Liapis & McAvoy, 1981) defines the conditions for obtaining analytical solutions of transient phenomena in the class of problems associated with heat and mass transfers in counter flow fluid streams. Their solutions take into account forced flow and the dependence of transient coefficient on the fluid's flow and do not involve the effect of wall finite heat capacity. The exact solution of dynamic behavior of a parallel heat exchanger in which wall heat capacity is negligible in relation to the fluid capacity was shown in (Li, 1986). These solutions are valid for both finite and nonfinite flow velocities. The paper (Romie, 1985) shows responses of outlet fluid temperatures for the equation of a step fluid inlet temperature change in a counter flow heat exchanger. The responses are determined by means of a finite difference method and involve the wall effect. The exact analytical solution for transient phenomena of a parallel flow heat exchanger for unit step change of inlet temperature of one of the fluids is given in (Romie, 1986). Although this solution includes the wall effect, it is limited to heat exchangers with equal fluid velocities or heat exchangers

dynamic behavior of both the plant's components and the plant as a whole.

**1. Introduction**

influenced by.

