Second-Order Multipole Formulas for Thermal Resistance of Single U-tube Borehole Heat Exchangers
(2017) Research Conference Proceedings - IGSHPA Conference & Expo 2017 p.102-112- Abstract
- The borehole thermal resistance is both an important design parameter and a key performance characteristic of a borehole heat exchanger. Another quantity that is particularly important for deep borehole heat exchangers is the internal thermal resistance between the upward-flowing and downward-flowing fluid channels in the borehole. The multipole method is a well-known and robust method to compute both these thermal resistances. However, it has a fairly intricate mathematical algorithm and is thus not trivial to implement. Consequently, there is considerable interest in developing explicit multipole formulas. So far zeroth-order and first-order multipole formulas have been derived for cases where the two legs of the borehole are placed... (More)
- The borehole thermal resistance is both an important design parameter and a key performance characteristic of a borehole heat exchanger. Another quantity that is particularly important for deep borehole heat exchangers is the internal thermal resistance between the upward-flowing and downward-flowing fluid channels in the borehole. The multipole method is a well-known and robust method to compute both these thermal resistances. However, it has a fairly intricate mathematical algorithm and is thus not trivial to implement. Consequently, there is considerable interest in developing explicit multipole formulas. So far zeroth-order and first-order multipole formulas have been derived for cases where the two legs of the borehole are placed symmetrically in a borehole. This paper presents new explicit second-order multipole formulas, which provide significant accuracy improvements over the previous formulas. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/9f08ba87-d36d-4dcc-9129-b5a20c3550b5
- author
- S, Javed LU and Claesson, Johan LU
- organization
- publishing date
- 2017-03-14
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- keywords
- Borehole thermal resistance, Multipole method, Ground heat exchanger, Internal thermal resistance, Second-order multipole formulas
- host publication
- Research Conference Proceedings, International Ground Source Heat Pump Association Conference & Expo, March 14-16, 2017
- pages
- 102 - 112
- conference name
- Research Conference Proceedings - IGSHPA Conference & Expo 2017
- conference location
- Denver, United States
- conference dates
- 2017-03-14 - 2017-03-16
- DOI
- 10.22488/okstate.17.000535
- language
- English
- LU publication?
- yes
- id
- 9f08ba87-d36d-4dcc-9129-b5a20c3550b5
- date added to LUP
- 2017-03-16 22:40:03
- date last changed
- 2018-11-21 21:30:47
@inproceedings{9f08ba87-d36d-4dcc-9129-b5a20c3550b5, abstract = {{The borehole thermal resistance is both an important design parameter and a key performance characteristic of a borehole heat exchanger. Another quantity that is particularly important for deep borehole heat exchangers is the internal thermal resistance between the upward-flowing and downward-flowing fluid channels in the borehole. The multipole method is a well-known and robust method to compute both these thermal resistances. However, it has a fairly intricate mathematical algorithm and is thus not trivial to implement. Consequently, there is considerable interest in developing explicit multipole formulas. So far zeroth-order and first-order multipole formulas have been derived for cases where the two legs of the borehole are placed symmetrically in a borehole. This paper presents new explicit second-order multipole formulas, which provide significant accuracy improvements over the previous formulas.}}, author = {{S, Javed and Claesson, Johan}}, booktitle = {{Research Conference Proceedings, International Ground Source Heat Pump Association Conference & Expo, March 14-16, 2017}}, keywords = {{Borehole thermal resistance, Multipole method, Ground heat exchanger, Internal thermal resistance, Second-order multipole formulas}}, language = {{eng}}, month = {{03}}, pages = {{102--112}}, title = {{Second-Order Multipole Formulas for Thermal Resistance of Single U-tube Borehole Heat Exchangers}}, url = {{http://dx.doi.org/10.22488/okstate.17.000535}}, doi = {{10.22488/okstate.17.000535}}, year = {{2017}}, }