Analytical-numerical method for calculating cross-flow tube heat exchangers considering temperature-dependent fluid heat capacities

Author(s):  
Katarzyna Węglarz ◽  
Dawid Taler ◽  
Magdalena Jaremkiewicz ◽  
Jan Taler ◽  
Mateusz Marcinkowski
2021 ◽  
Vol 323 ◽  
pp. 00032
Author(s):  
Katarzyna Węglarz ◽  
Dawid Taler ◽  
Jan Taler ◽  
Mateusz Marcinkowski

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.


2014 ◽  
Vol 35 (14-15) ◽  
pp. 1334-1343 ◽  
Author(s):  
Dawid Taler ◽  
Marcin Trojan ◽  
Jan M. Taler

2011 ◽  
Vol 32 (1) ◽  
pp. 7-19 ◽  
Author(s):  
Dawid Taler ◽  
Marcin Trojan ◽  
Jan Taler

Mathematical modelling of tube heat exchangers with complex flow arrangement General principles of mathematical modelling of transient heat transfer in cross-flow tube heat exchangers with complex flow arrangements which allow a simulation of multipass heat exchangers with many tube rows are presented. First, a system of differential equations for the transient temperature of both fluids and the tube wall with appropriate boundary and initial conditions is formulated. Two methods for modelling heat exchangers are developed using the finite difference method and finite volume method. A numerical model of multipass steam superheater with twelve passes is presented. The calculation results are compared with the experimental data.


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