APPLICATION OF DIMENSIONAL ANALYSIS IN HEAT LOSS DETERMINING IN DISTRICT HEATING SYSTEMS

Existing procedures for determining the heat loss in heat distribution use balance relations, or rather they are based on the theory of heat and mass transfer. Dimensional analysis enables a new point of view that demonstrated the functionality of heat loss from selected physical quantities that con...

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Main Authors: Mária Čarnogurská, Romana Dobáková, Miroslav Příhoda
Format: Article
Language:English
Published: CTU Central Library 2016-04-01
Series:Acta Polytechnica
Subjects:
Online Access:https://ojs.cvut.cz/ojs/index.php/ap/article/view/3444
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spelling doaj-b82b9cc30baa4a3d98822b037e2f7d532020-11-24T23:48:46ZengCTU Central LibraryActa Polytechnica1210-27091805-23632016-04-01562818710.14311/AP.2016.56.00813189APPLICATION OF DIMENSIONAL ANALYSIS IN HEAT LOSS DETERMINING IN DISTRICT HEATING SYSTEMSMária Čarnogurská0Romana Dobáková1Miroslav Příhoda2Technical University of Košice, Faculty of Mechanical Engineering, Department of Power Engineering, Vysokoškolská 4, 042 00 Košice, SlovakiaTechnical University of Košice, Faculty of Mechanical Engineering, Department of Power Engineering, Vysokoškolská 4, 042 00 Košice, SlovakiaVŠB – Technical University of Ostrava, Faculty of Metallurgy and Materials Engineering, Department of Thermal Engineering, 17. listopadu 15, 708 33 Ostrava-Poruba, Czech RepublicExisting procedures for determining the heat loss in heat distribution use balance relations, or rather they are based on the theory of heat and mass transfer. Dimensional analysis enables a new point of view that demonstrated the functionality of heat loss from selected physical quantities that contribute to heat loss. The solution provides one complex criterion and four simplex criteria of similarity. Transforming these criteria of similarity leads to the formulation of the functional dependence of only two criteria, on the basis of which the amount of heat loss can be determined. The resulting criterial dependency is simple, and is calculated in this paper for a pipe one meter in longth. The mathematic model for demonstrating the heat loss is of universal validity, and applies to a wide range of piping used for hot water distribution. However, for each nominal diameter of piping it is necessary to take into account the mutual dependency of the dimensionless arguments <em>p</em><sub>5</sub> on <em>p</em><sub>1</sub>, the form of which is always different. In the paper, this dependency is demonstrated for two nominal diameters DN65 and DN125.https://ojs.cvut.cz/ojs/index.php/ap/article/view/3444heat loss, dimensional analysis, modelling
collection DOAJ
language English
format Article
sources DOAJ
author Mária Čarnogurská
Romana Dobáková
Miroslav Příhoda
spellingShingle Mária Čarnogurská
Romana Dobáková
Miroslav Příhoda
APPLICATION OF DIMENSIONAL ANALYSIS IN HEAT LOSS DETERMINING IN DISTRICT HEATING SYSTEMS
Acta Polytechnica
heat loss, dimensional analysis, modelling
author_facet Mária Čarnogurská
Romana Dobáková
Miroslav Příhoda
author_sort Mária Čarnogurská
title APPLICATION OF DIMENSIONAL ANALYSIS IN HEAT LOSS DETERMINING IN DISTRICT HEATING SYSTEMS
title_short APPLICATION OF DIMENSIONAL ANALYSIS IN HEAT LOSS DETERMINING IN DISTRICT HEATING SYSTEMS
title_full APPLICATION OF DIMENSIONAL ANALYSIS IN HEAT LOSS DETERMINING IN DISTRICT HEATING SYSTEMS
title_fullStr APPLICATION OF DIMENSIONAL ANALYSIS IN HEAT LOSS DETERMINING IN DISTRICT HEATING SYSTEMS
title_full_unstemmed APPLICATION OF DIMENSIONAL ANALYSIS IN HEAT LOSS DETERMINING IN DISTRICT HEATING SYSTEMS
title_sort application of dimensional analysis in heat loss determining in district heating systems
publisher CTU Central Library
series Acta Polytechnica
issn 1210-2709
1805-2363
publishDate 2016-04-01
description Existing procedures for determining the heat loss in heat distribution use balance relations, or rather they are based on the theory of heat and mass transfer. Dimensional analysis enables a new point of view that demonstrated the functionality of heat loss from selected physical quantities that contribute to heat loss. The solution provides one complex criterion and four simplex criteria of similarity. Transforming these criteria of similarity leads to the formulation of the functional dependence of only two criteria, on the basis of which the amount of heat loss can be determined. The resulting criterial dependency is simple, and is calculated in this paper for a pipe one meter in longth. The mathematic model for demonstrating the heat loss is of universal validity, and applies to a wide range of piping used for hot water distribution. However, for each nominal diameter of piping it is necessary to take into account the mutual dependency of the dimensionless arguments <em>p</em><sub>5</sub> on <em>p</em><sub>1</sub>, the form of which is always different. In the paper, this dependency is demonstrated for two nominal diameters DN65 and DN125.
topic heat loss, dimensional analysis, modelling
url https://ojs.cvut.cz/ojs/index.php/ap/article/view/3444
work_keys_str_mv AT mariacarnogurska applicationofdimensionalanalysisinheatlossdeterminingindistrictheatingsystems
AT romanadobakova applicationofdimensionalanalysisinheatlossdeterminingindistrictheatingsystems
AT miroslavprihoda applicationofdimensionalanalysisinheatlossdeterminingindistrictheatingsystems
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