Abstract

A new method for thermal calculations of the cross-flow tube heat exchangers was proposed. The temperature of both fluids and the wall temperature are determined. The heat exchanger is divided into control volumes, in which outlet fluid temperatures are calculated by closed analytical formulas. Two examples of the application of the method for the calculation of two-pass cross-co-current and cross-countercurrent superheaters were presented. An exact analytical model was also developed for both superheaters to estimate the accuracy of the proposed method. The results of the superheater calculations using the developed method are in good agreement with the results obtained by the exact analytical models. The proposed method can be used to calculate heat exchangers with a complicated flow system in which the physical properties of fluids are temperature-dependent.

Highlights

  • Heat exchangers are among the most common apparatus both in industry and in building heating systems [1]

  • The book by Shah and Sekulić describes theoretical calculation methods and experimental investigations of compact heat exchangers taking into account fouling processes on their heating surfaces

  • Relationships for calculating the logarithmic mean temperature difference between the fluids or their effectiveness are available in the literature only for typical flow systems of these heat exchangers [3]

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Summary

Introduction

Heat exchangers are among the most common apparatus both in industry and in building heating systems [1]. Numerical or semi-analytical methods must be developed for the calculation of such exchangers, in particular when the specific heat of the fluids is temperature dependent and the flow arrangement of a tube heat exchanger is complex. The numerical model of the radiator developed in [5] was used in the simultaneous determination of heat transfer correlations on the air and water side of the car radiator in [6]. The method is suitable for the calculation of cross-current heat exchangers made of plain tubes, individually finned tubes, and PFTHE. It is a fast and simple method for calculating high-temperature exchangers such as steam superheaters in sub and supercritical power boilers

A new method for thermal calculations of cross-flow tube heat exchangers
Two-pass cross-co-current superheater
Two-pass superheater cross-counter-current
Conclusions
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