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Analytical solution for transient response of counter flow heat exchanger with finite wall capacitance

Analytische Lösung für das transiente Verhalten eines Gegenstrom-Wärmetauschers mit endlicher Wärmekapazität der Wand

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Abstract

The Laplace Transform Method is applied to solve the transient response of the counter flow heat exchanger with finite wall capacitance problem. The mathematical model is based on three local energy balance equations which are solved assuming that only the fluid 1 inlet condition is perturbed (step change). As any counter flow problem could be reduced to an adequate integral equation, collocation method is used for solving such equation in the presented case. Results are given for the outlet temperatures of both fluids and temperature distributions for both fluids and the wall as an explicit analytical formula.

Zusammenfassung

Die Methode der Laplace-Transformation wird eingesetzt, um das Übertragungsverhalten des Gegenstrom-Wärmetauschers mit endlicher Wärmekapazität der Wand zu lösen. Das mathematische Modell fußt auf drei lokalen Energiebilanzgleichungen, welche unter der Voraussetzung gelöst werden, daß nur am Eintritt des Fluids 1 eine Störung (Sprung) auftritt. Da sich jedes Gegenstrom-Problem auf eine Integralgleichung zurückführen läßt, wird die Kollokationsmethode zur Lösung einer solchen, im vorliegenden Problem auftretenden Gleichung herangezogen. Die Ergebnisse in Form expliziter analytischer Ausdrücke betreffen die Austrittstemperaturen beider Fluide und die Wandtemperatur.

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Authors and Affiliations

  1. Institute of Thermal Energy and Process Engineering, University of Novi Sad, 21000, Novi Sad, Yugoslavia

    D. D. Gvozdenac

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  1. D. D. Gvozdenac
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Gvozdenac, D.D. Analytical solution for transient response of counter flow heat exchanger with finite wall capacitance. Wärme- und Stoffübertragung 28, 351–356 (1993). https://doi.org/10.1007/BF01539533

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  • DOI: https://doi.org/10.1007/BF01539533

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