Modular Approach for Modelling Warming up Process in Water Installations with Flow-Regulating Elements

The paper presents a new method for modelling the warming up process of a water system with elements regulating the flow in a stochastic manner. The paper presents the basic equations describing the work of typical elements which the water installation is composed of. In the proposed method, a new c...

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Main Authors: Jacek Kropiwnicki, Mariusz Furmanek, Andrzej Rogala
Format: Article
Language:English
Published: MDPI AG 2021-07-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/14/15/4599
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author Jacek Kropiwnicki
Mariusz Furmanek
Andrzej Rogala
author_facet Jacek Kropiwnicki
Mariusz Furmanek
Andrzej Rogala
author_sort Jacek Kropiwnicki
collection DOAJ
description The paper presents a new method for modelling the warming up process of a water system with elements regulating the flow in a stochastic manner. The paper presents the basic equations describing the work of typical elements which the water installation is composed of. In the proposed method, a new computational algorithm was used in the form of an iterative procedure enabling the use of boundary conditions that can be stochastically modified during the warming-up process. A typical situation, when such a modification is processed, is the regulation of the medium flow through two-way or three-way valves or applying additional heat source. Moreover, the presented method does not require the transformation of the differential equations, describing the operation of individual elements, into a linear form, which significantly facilitates analytical work and makes it more flexible. The example of analysis of the operation of water installation used for controlling temperature of the process gases in a chemical installation shows the functionality and flexibility of the method. The adopted calculation schematics enable changing the direction of the heat flow while the heat exchanger is in operation. Additionally, the sequence of calculation processed in modules describing operation of installation elements is elective (there is no situation that output parameters from one element are used as input parameters for other element in the same calculation step).
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spelling doaj.art-cdd3d51d600745858e23f485f3cee8e02023-11-22T05:35:17ZengMDPI AGEnergies1996-10732021-07-011415459910.3390/en14154599Modular Approach for Modelling Warming up Process in Water Installations with Flow-Regulating ElementsJacek Kropiwnicki0Mariusz Furmanek1Andrzej Rogala2Faculty of Mechanical Engineering and Ship Technology, Gdansk University of Technology, Narutowicza 11/12, 80-223 Gdansk, PolandFaculty of Mechanical Engineering and Ship Technology, Gdansk University of Technology, Narutowicza 11/12, 80-223 Gdansk, PolandFaculty of Chemistry, Gdansk University of Technology, Narutowicza 11/12, 80-223 Gdansk, PolandThe paper presents a new method for modelling the warming up process of a water system with elements regulating the flow in a stochastic manner. The paper presents the basic equations describing the work of typical elements which the water installation is composed of. In the proposed method, a new computational algorithm was used in the form of an iterative procedure enabling the use of boundary conditions that can be stochastically modified during the warming-up process. A typical situation, when such a modification is processed, is the regulation of the medium flow through two-way or three-way valves or applying additional heat source. Moreover, the presented method does not require the transformation of the differential equations, describing the operation of individual elements, into a linear form, which significantly facilitates analytical work and makes it more flexible. The example of analysis of the operation of water installation used for controlling temperature of the process gases in a chemical installation shows the functionality and flexibility of the method. The adopted calculation schematics enable changing the direction of the heat flow while the heat exchanger is in operation. Additionally, the sequence of calculation processed in modules describing operation of installation elements is elective (there is no situation that output parameters from one element are used as input parameters for other element in the same calculation step).https://www.mdpi.com/1996-1073/14/15/4599water installation warming-up processiterative procedure for heat transfer modellingelements regulating the flowboundary conditions stochastically modifiedchemical installation temperature control
spellingShingle Jacek Kropiwnicki
Mariusz Furmanek
Andrzej Rogala
Modular Approach for Modelling Warming up Process in Water Installations with Flow-Regulating Elements
Energies
water installation warming-up process
iterative procedure for heat transfer modelling
elements regulating the flow
boundary conditions stochastically modified
chemical installation temperature control
title Modular Approach for Modelling Warming up Process in Water Installations with Flow-Regulating Elements
title_full Modular Approach for Modelling Warming up Process in Water Installations with Flow-Regulating Elements
title_fullStr Modular Approach for Modelling Warming up Process in Water Installations with Flow-Regulating Elements
title_full_unstemmed Modular Approach for Modelling Warming up Process in Water Installations with Flow-Regulating Elements
title_short Modular Approach for Modelling Warming up Process in Water Installations with Flow-Regulating Elements
title_sort modular approach for modelling warming up process in water installations with flow regulating elements
topic water installation warming-up process
iterative procedure for heat transfer modelling
elements regulating the flow
boundary conditions stochastically modified
chemical installation temperature control
url https://www.mdpi.com/1996-1073/14/15/4599
work_keys_str_mv AT jacekkropiwnicki modularapproachformodellingwarmingupprocessinwaterinstallationswithflowregulatingelements
AT mariuszfurmanek modularapproachformodellingwarmingupprocessinwaterinstallationswithflowregulatingelements
AT andrzejrogala modularapproachformodellingwarmingupprocessinwaterinstallationswithflowregulatingelements