A novel analytical multilayer cylindrical heat source model for vertical ground heat exchangers installed in layered ground

Pan, Aiqiang; McCartney, John S.; Lu, Lin; You, Tingting

doi:10.1016/j.energy.2020.117545

Cited by 35 publications

(5 citation statements)

References 34 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Park et al 3 used Green's function to obtain a spiral coil source model and its analytical solution. More recently, Zhou et al, 4 Pan et al, 5 and Wang 6 proposed analytical solutions for the heat transfer of energy piles in double-layered soil. Yang et al 7 proposed a cylindrical heat source model that considered different thermal properties inside and outside the heat source, referred to as the IDCSM.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Analytical solution for heat exchange in energy pile ground considering smear effects

Zhao,

Ni,

Liu

et al. 2023

Num Anal Meth Geomechanics

View full text Add to dashboard Cite

Due to the installation of energy piles, the surrounding soil will be inevitably disturbed, leading to a smaller void ratio and larger thermal conductivity. This study proposes a new closed‐form solution to calculate the heat exchange of energy pile foundations considering smear effects on the different soil thermal properties in the smear zone and undisturbed zone. The analytical model adopts the separation of variables to solve the governing equations. The eigenvalues are obtained according to a series of recurrence formulas and a transcendental equation. The solution is verified against existing analytical solutions in literature and numerical simulation, and an excellent agreement is obtained. The parametric study shows that a larger thermal conductivity of the soil in the smear zone results in a lower temperature at any given time. If the smear effects are not considered, the temperature will be overpredicted, especially for the pile and the soil in the smear zone. The proposed solution precisely predicts the soil temperature in the smear zone and undisturbed zone, which can contribute to the thermo‐mechanical behaviour of energy pile foundations in further work.

show abstract

Section: Introductionmentioning

confidence: 99%

“…used Green's function to obtain a spiral coil source model and its analytical solution. More recently, Zhou et al., 4 Pan et al., 5 and Wang 6 proposed analytical solutions for the heat transfer of energy piles in double‐layered soil. Yang et al 7 .…”

Section: Introductionmentioning

confidence: 99%

Analytical solution for heat exchange in energy pile ground considering smear effects

Zhao,

Ni,

Liu

et al. 2023

Num Anal Meth Geomechanics

View full text Add to dashboard Cite

show abstract

“…The analytical model of VBHE heat transfer under groundwater seepage conditions is generally based on the assumption that the seepage is uniform and the direction is parallel to the ground, and the diffusion-convection problem is converted into a pure heat conduction problem by using the theory of a moving heat source (Sutton et al 2003;Molina-Giraldo et al 2011). Thermal property differences between ground layers were found to result in additional vertical heat transfer across layer interfaces, which is not observed in homogeneous ground (Pan et al 2020).…”

Section: Introductionmentioning

confidence: 99%

Numerical investigation of vertical borehole heat exchanger heat transfer under coupled conditions of groundwater seepage and layered subsurface

Zhao

Zhang

et al. 2023

Geomech. Geophys. Geo-energ. Geo-resour.

View full text Add to dashboard Cite

Vertical borehole heat exchangers (VBHEs) have been considered to be one of the best sustainable geotechnical technologies for building heating or cooling. In most of the current numerical models for the analysis of VBHE heat transfer, the assumption of subsurface homogeneity is considered. However, the actual subsurface presents a layered structure, and some aquifer groups have groundwater seepage. An improved numerical model is proposed that takes into account not only the coupled condition of groundwater seepage and the layered subsurface but also the heat transfer of VBHEs at different locations, including inside the borehole, borehole wall and outside the borehole. The heat transfer characteristic at these different locations under groundwater seepage and layered subsurface coupled condition is investigated. Moreover, the model is applied to investigate the thermal behaviors of VBHE arrays in two typical arrangements (matrix and staggered arrangement). Furthermore, the influence of groundwater seepage in different layers on the heat transfer ability of the VBHE is discussed. The results demonstrate that the seepage can effectively improve the average heat transfer performance of VBHEs array, and the relative improvement rate is about 62.0%, Compared with the matrix arrangement, the average heat flow of staggered arrangement is about 0.09 kW higher, and the relative increase rate is about 3.3%.

show abstract

“…Thus, it is necessary to use a ground heat exchanger (GHE) to transfer heat from/to the ground [13,14]. There are different types of GHE configurations such as vertical [15,16] and horizontal [17,18]. Coiled GHEs have also been considered as enhancements of the conventional 4 types to decrease the volume of installations.…”

Section: Introductionmentioning

confidence: 99%

An investigation on organic Rankine cycle incorporating a ground-cooled condenser: Working fluid selection and regeneration

Mahmoud

Alkhedher

Ramadan

et al. 2022

Energy

View full text Add to dashboard Cite

A novel analytical multilayer cylindrical heat source model for vertical ground heat exchangers installed in layered ground

Cited by 35 publications

References 34 publications

Analytical solution for heat exchange in energy pile ground considering smear effects

Analytical solution for heat exchange in energy pile ground considering smear effects

Numerical investigation of vertical borehole heat exchanger heat transfer under coupled conditions of groundwater seepage and layered subsurface

An investigation on organic Rankine cycle incorporating a ground-cooled condenser: Working fluid selection and regeneration

Contact Info

Product

Resources

About