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Heat transfer analysis of a vertical ground heat exchanger using numerical simulation and multiple regression model

机译：基于数值模拟和多元回归模型的立式地面换热器传热分析

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摘要

Because of the importance of ground heat exchanger (GHE) design in a ground-source heat pump system, a three-dimensional, unsteady, and numerical model of a vertical GHE was developed using the finite volume method. The construction and boundary conditions were described in a Cartesian coordinate system. To evaluate the effects of different characteristics such as thermal conductivity, volumetric heat capacity, inlet flow, inlet water temperature, soil porosity, Darcy's velocity, and borehole depth on the heat flux of GHE, >101 cases were studied. The numerical results were compared by varying the temperature of circulating water along the inlet and outlet pipes. Nine correlations that passed significance test were obtained by monadic regression and curve-fitting analysis using all the parameters. Further investigation was carried out to obtain the prediction equation of heat flux, and the fitted expression was derived by multiple stepwise regression analysis based on the orthogonal experimental design of five levels for nine parameters. A group of experimental tests were carried out in Nanjing, China to validate the prediction equation, and the results indicate that it can estimate the heat flux of GHE with the root mean square error of 15.23 W/m. (C) 2016 Elsevier B.V. All rights reserved.
机译：由于在地面源热泵系统中地面换热器（GHE）设计的重要性，因此使用有限体积法开发了三维GHE，非稳态数值模型和垂直GHE。构造和边界条件在笛卡尔坐标系中描述。为了评估导热系数，体积热容量，入口流量，入口水温，土壤孔隙度，达西速度和井眼深度等不同特征对GHE热通量的影响，研究了> 101例。通过改变沿进水管和出水管的循环水温度来比较数值结果。通过单因素回归和所有参数的曲线拟合分析，获得了通过显着性检验的九个相关性。进行了进一步的研究以获得热通量的预测方程，并基于五个水平的九个参数的正交实验设计，通过多次逐步回归分析，得出了拟合表达式。在中国南京进行了一组实验测试，验证了该预测方程的有效性，结果表明该模型可以估计均方根误差为15.23 W / m的GHE热通量。 （C）2016 Elsevier B.V.保留所有权利。

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