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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Main Authors: P. Jalili, D.D. Ganji, S.S. Nourazar
Format: Article
Language:English
Published: Elsevier 2018-09-01
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
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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