2020
DOI: 10.1080/23744731.2020.1845072
|View full text |Cite
|
Sign up to set email alerts
|

Transient multipole expansion for heat transfer in ground heat exchangers

Abstract: A transient multipole method for short-term simulations of ground heat exchangers (GHEs) is presented. The two-dimensional unsteady heat equation over a GHE cross-section is separated into two problems: (i) a transient heat equation with homogeneous boundary conditions, and (ii) a steady-state heat equation with nonhomogeneous boundary conditions. An eigenfunction expansion is proposed for the solution of the transient heat equation, where the treatment of boundary conditions is considered by a multipole expan… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
2
1

Citation Types

0
20
0

Year Published

2021
2021
2022
2022

Publication Types

Select...
4
2

Relationship

2
4

Authors

Journals

citations
Cited by 6 publications
(20 citation statements)
references
References 39 publications
0
20
0
Order By: Relevance
“…α b and α s are the thermal diffusivities (α) of the grout and soil, respectively. The horizontal conduction heat transfer inside the GHE is studied in a transient state using the transient multipole expansion method developed by Prieto and Cimmino [36]. This solution is extended to consider time-dependent fluid temperatures inside the U-tube by means of a coefficient updating scheme.…”
Section: Mathematical Modelmentioning
confidence: 99%
See 4 more Smart Citations
“…α b and α s are the thermal diffusivities (α) of the grout and soil, respectively. The horizontal conduction heat transfer inside the GHE is studied in a transient state using the transient multipole expansion method developed by Prieto and Cimmino [36]. This solution is extended to consider time-dependent fluid temperatures inside the U-tube by means of a coefficient updating scheme.…”
Section: Mathematical Modelmentioning
confidence: 99%
“…Following the method of Prieto and Cimmino [36], the transient heat transfer problem with non-homogeneous boundary conditions for T d,j is separated into two sub-problems: a transient heat transfer problem with homogeneous boundary conditions for T d h ,j , and a steady-state heat transfer problem with non-homogeneous conditions for T d ss ,j . The complete solution is then given by superposition, with T d,j = T d h ,j + T d ss ,j .…”
Section: Transient Multipole Expansionmentioning
confidence: 99%
See 3 more Smart Citations