Transient heat conduction from a vertical rod buried in a semi-infinite medium with variable heating strength

Duan, Xili; Naterer, G.F.; Lu, Ming; Mueller, W.

doi:10.1007/s00231-006-0124-8

Cited by 8 publications

(3 citation statements)

References 18 publications

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“…Duan et al [33] and Duan and Naterer [34] extended Zeng et al's model [16] for the case of a buried rod. They formulated the temperature profile in the soil around the rod.…”

Section: Analytical Approachmentioning

confidence: 93%

“…Transient heat conduction from a buried power transmission line tower has been investigated by formulating the problem of ground heat transfer with a line source of heat with varying heating strength along its length [33,34]. However, that problem involves conduction along a buried rod in the ground which differentiates it somewhat from borehole analysis.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

On Thermally Interacting Multiple Boreholes with Variable Heating Strength: Comparison between Analytical and Numerical Approaches

Koohi-Fayegh

Rosen

2012

Sustainability

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Abstract:The temperature response in the soil surrounding multiple boreholes is evaluated analytically and numerically. The assumption of constant heat flux along the borehole wall is examined by coupling the problem to the heat transfer problem inside the borehole and presenting a model with variable heat flux along the borehole length. In the analytical approach, a line source of heat with a finite length is used to model the conduction of heat in the soil surrounding the boreholes. In the numerical method, a finite volume method in a three dimensional meshed domain is used. In order to determine the heat flux boundary condition, the analytical quasi-three-dimensional solution to the heat transfer problem of the U-tube configuration inside the borehole is used. This solution takes into account the variation in heating strength along the borehole length due to the temperature variation of the fluid running in the U-tube. Thus, critical depths at which thermal interaction occurs can be determined. Finally, in order to examine the validity of the numerical method, a comparison is made with the results of line source method.

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“…Duan et al [33] and Duan and Naterer [34] extended Zeng et al's model [16] for the case of a buried rod. They formulated the temperature profile in the soil around the rod.…”

Section: Analytical Approachmentioning

confidence: 93%

Section: Introductionmentioning

confidence: 99%

On Thermally Interacting Multiple Boreholes with Variable Heating Strength: Comparison between Analytical and Numerical Approaches

Koohi-Fayegh

Rosen

2012

Sustainability

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show abstract

“…The key limitation in most of the previous studies is the assumption of constant and uniform strength of the heat input from the borehole into the ground, either when the borehole is assumed as a cylinder or when it is further simplified to a line source of heat. Duan et al [28] and Duan and Naterer [29] study the transient heat conduction from a buried power transmission line tower. In their study they formulated the problem of ground heat transfer with a line source of heat with varying heating strength along its length.…”

Section: Introductionmentioning

confidence: 99%

A Numerical Approach to Assessing Thermally Interacting Multiple Boreholes with Variable Heating Strength

Rosen

Koohi-Fayegh

2011

Proceedings of the 1st World Sustainability Forum

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The temperature response in the soil surrounding multiple boreholes is evaluated numerically. The assumption of constant heat flux along the borehole wall is examined by coupling the problem to the heat transfer problem inside the borehole and presenting a model with variable heat flux along the borehole length. A numerical finite volume method in a three dimensional meshed domain is used to model the conduction of heat in the soil surrounding the boreholes. In order to determine the heat flux boundary condition, the analytical quasi-three-dimensional solution to the heat transfer problem of the U-tube configuration inside the borehole [1] is used. This solution takes into account the variation in heating strength along the borehole length due to the temperature variation of the fluid running in the U-tube. Thus, critical depths at which thermal interaction occurs can be determined.

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Numerical and analytical study of a geo‐exchange borehole using conventional grout and bentonite‐based backfilling material

Bayomy

Wang²,

Dworkin

2021

Int J Energy Res

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Ground source heat pumps (GSHP) have been used in various types of residential and commercial buildings due to their high efficiency. Numerical models are useful to predict the overall performance and ground temperature response of these systems. This paper presents a hybrid model that contains a modified finite element model and an analytical solution for a single conventional vertical borehole system. In this modified finite element model, turbulent heat transfer equations were solved for the ground heat exchanger and the actual building load variation and heat pump performance variation were considered. The present model was then used to explore an emerging geo-exchange technology, which involves the use of a bentonite slurry enhanced with graphite flakes in the vicinity of a borehole heat exchanger. The results revealed slight increases in the mean average ground temperature in the vicinity of the borehole by 1.1 C over 4 years. Furthermore, the analytical solution of the ground temperature response was in good agreement with the results obtained using the finite element model within a maximum relative error of 3% (0.5 C). The results revealed that the 40 m depth bentonite-based borehole achieved better performance than the conventional design by 5% to 13% in the monthly average COP.

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Transient heat conduction from a vertical rod buried in a semi-infinite medium with variable heating strength

Cited by 8 publications

References 18 publications

On Thermally Interacting Multiple Boreholes with Variable Heating Strength: Comparison between Analytical and Numerical Approaches

On Thermally Interacting Multiple Boreholes with Variable Heating Strength: Comparison between Analytical and Numerical Approaches

A Numerical Approach to Assessing Thermally Interacting Multiple Boreholes with Variable Heating Strength

Numerical and analytical study of a geo‐exchange borehole using conventional grout and bentonite‐based backfilling material

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