Hybrid semi analytical method for geothermal U shaped heat exchanger
In this paper, convective-conductive heat transfer processes between the all components of geothermal borehole heat exchanger (BHE) such as pipe-in, pipe-out and grout have been studied. A set of coupled partial differential equations subjected to general initial and boundary conditions are governed...
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Format: | Article |
Language: | English |
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Elsevier
2018-09-01
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Series: | Case Studies in Thermal Engineering |
Online Access: | http://www.sciencedirect.com/science/article/pii/S2214157X18301114 |
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author | P. Jalili D.D. Ganji S.S. Nourazar |
author_facet | P. Jalili D.D. Ganji S.S. Nourazar |
author_sort | P. Jalili |
collection | DOAJ |
description | In this paper, convective-conductive heat transfer processes between the all components of geothermal borehole heat exchanger (BHE) such as pipe-in, pipe-out and grout have been studied. A set of coupled partial differential equations subjected to general initial and boundary conditions are governed to this problem. Modified Homotopy perturbation method (MHPM) is a hybrid of discrete Fourier Transform, spectral analysis and Homotopy Perturbation Method that is developed in order to solve the partial differential equations of geothermal borehole systems. The results of MHPM are compared with the numerical solution for validation and, furthermore, the effectiveness and accuracy of the applied method have been shown. Keywords: Borehole heat exchanger, Heat conduction-convection, Discrete Fourier transformation, Homotopy perturbation method |
first_indexed | 2024-12-12T06:35:57Z |
format | Article |
id | doaj.art-ee7ef9bfb56e42b4b17a1853d29f795d |
institution | Directory Open Access Journal |
issn | 2214-157X |
language | English |
last_indexed | 2024-12-12T06:35:57Z |
publishDate | 2018-09-01 |
publisher | Elsevier |
record_format | Article |
series | Case Studies in Thermal Engineering |
spelling | doaj.art-ee7ef9bfb56e42b4b17a1853d29f795d2022-12-22T00:34:29ZengElsevierCase Studies in Thermal Engineering2214-157X2018-09-0112578586Hybrid semi analytical method for geothermal U shaped heat exchangerP. Jalili0D.D. Ganji1S.S. Nourazar2Department of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, IranDepartment of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, Iran; Correspondence to: Department of Mechanical Engineering, Babol University of Technology, PO BOX 484, Babol, Iran.Department of Mechanical Engineering, Amirkabir University of Technology, Tehran, IranIn this paper, convective-conductive heat transfer processes between the all components of geothermal borehole heat exchanger (BHE) such as pipe-in, pipe-out and grout have been studied. A set of coupled partial differential equations subjected to general initial and boundary conditions are governed to this problem. Modified Homotopy perturbation method (MHPM) is a hybrid of discrete Fourier Transform, spectral analysis and Homotopy Perturbation Method that is developed in order to solve the partial differential equations of geothermal borehole systems. The results of MHPM are compared with the numerical solution for validation and, furthermore, the effectiveness and accuracy of the applied method have been shown. Keywords: Borehole heat exchanger, Heat conduction-convection, Discrete Fourier transformation, Homotopy perturbation methodhttp://www.sciencedirect.com/science/article/pii/S2214157X18301114 |
spellingShingle | P. Jalili D.D. Ganji S.S. Nourazar Hybrid semi analytical method for geothermal U shaped heat exchanger Case Studies in Thermal Engineering |
title | Hybrid semi analytical method for geothermal U shaped heat exchanger |
title_full | Hybrid semi analytical method for geothermal U shaped heat exchanger |
title_fullStr | Hybrid semi analytical method for geothermal U shaped heat exchanger |
title_full_unstemmed | Hybrid semi analytical method for geothermal U shaped heat exchanger |
title_short | Hybrid semi analytical method for geothermal U shaped heat exchanger |
title_sort | hybrid semi analytical method for geothermal u shaped heat exchanger |
url | http://www.sciencedirect.com/science/article/pii/S2214157X18301114 |
work_keys_str_mv | AT pjalili hybridsemianalyticalmethodforgeothermalushapedheatexchanger AT ddganji hybridsemianalyticalmethodforgeothermalushapedheatexchanger AT ssnourazar hybridsemianalyticalmethodforgeothermalushapedheatexchanger |