Mathematical model to analyze the flow and heat transfer problem in U-shaped geothermal exchangers

Nadaniela Egidi; Josephin Giacomini; Pierluigi Maponi

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Mathematical model to analyze the flow and heat transfer problem in U-shaped geothermal exchangers

机译：用于分析U型地热交换器中的流动和传热问题的数学模型

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摘要

In this study, we propose a mathematical model for U-shaped geothermal heat exchangers based on the unsteady Navier–Stokes problem. In the numerical solution of this problem, we divide the exchanger into two computational domains: rectilinear pipes where the temperature field is computed analytically, and a U-curved pipe where solutions for both the flow and heat exchange are calculated using a numerical procedure based on the Galerkin finite elements method. The results of some numerical simulations are provided and used to study the performance of geothermal exchangers by assessing the effective energy produced. We also present a validation analysis based on experimental measurements obtained from a real geothermal exchanger.

机译：在这项研究中，我们基于非稳态Navier–Stokes问题，提出了U型地热热交换器的数学模型。在此问题的数值解决方案中，我们将换热器划分为两个计算域：用于分析温度场的直线管和用于计算流动和热交换解的U形管。 Galerkin有限元方法。提供了一些数值模拟的结果，并将其用于通过评估产生的有效能量来研究地热交换器的性能。我们还基于从真实的地热交换器获得的实验测量结果提出了验证分析。

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来源
《Applied Mathematical Modelling》 |2018年第9期|83-106|共24页
作者
Nadaniela Egidi; Josephin Giacomini; Pierluigi Maponi;
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作者单位

School of Sciences and Technology, Mathematics Division, University of Camerino;

School of Sciences and Technology, Mathematics Division, University of Camerino;

School of Sciences and Technology, Mathematics Division, University of Camerino;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Heat transfer; Navier–Stokes; U-exchanger;

机译：传热;Navier–Stokes;U型交换器;

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专利

1. Mathematical Modeling of Gas Flow including Heat Transfer in Spiral Heat Exchanger [J] . Marian BOJKO, Radim KOCICH, Adéla MACHá?KOVá, Transactions of the VSB - Technical University of Ostrava: Mechanical Series . 2011,第2期

机译：螺旋换热器内包括传热在内的气体流动的数学模型
2. Development of Heat Transfer Model Package for Horizontal U-Shaped Heat Exchanger Submerged in Pool of Passive Safety System [J] . Seong-Su Jeon, Soon-Joon Hong, Hyoung-Kyu Cho, Nuclear Technology . 2016,第2期

机译：潜入被动安全系统池中的水平U形热交换器的传热模型套件的开发
3. New quasi-3D model for heat transfer in U-shaped GHEs (ground heat exchangers): Effective overall thermal resistance [J] . Ma WeiWu, Li Min, Li Ping, Energy . 2015,第OCTaPTa1期

机译：新的准3D模型用于U形GHE（地面热交换器）中的热传递：有效的整体热阻
4. Solution Strategies for Finite Elements and Finite Volumes Methods applied to Flow and Heat Transfer Problem in U-shaped Geothermal Exchangers [C] . Nadaniela Egidi, Josephin Giacomini, Pierluigi Maponi International Conference of Numerical Analysis and Applied Mathematics . 2016

机译：U形地热交换器中有限元和有限体积方法的有限元和有限卷方法的解决方案策略
5. Analytical and Numerical Modeling of Fluid Flow and Heat Transfer through Open-Cell Metal Foam Heat Exchangers [D] . Taheri, Mehrdad. 2015

机译：通过开孔金属泡沫热交换器进行流体流动和传热的分析和数值模型
6. Analysis of Heat Transfers inside Counterflow Plate Heat Exchanger Augmented by an Auxiliary Fluid Flow [O] . A.-R. A. Khaled -1

机译：辅助流体增加对流板式换热器内部传热的分析
7. High Time-resolution Analytical Models for Heat Transfer Through U-shaped Ground Heat Exchangers [O] . Min Li, TieMeng Sun, XueCheng Zhuo 2017

机译：通过U形接地热交换器进行热传输的高时间分辨率分析模型
8. Natural Convection Heat Transfer Models for Downhole Heat Exchanger Applications in Shallow Geothermal Systems [R] . Fukuda, M., Kreitlow, D. B., Culver, G. G., 1977

机译：浅埋地热系统中井下换热器的自然对流换热模型

Mathematical model to analyze the flow and heat transfer problem in U-shaped geothermal exchangers

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