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Second-Order Multipole Formulas for Thermal Resistance of Single U-tube Borehole Heat Exchangers

S, Javed LU and Claesson, Johan LU (2017) Research Conference Proceedings - IGSHPA Conference & Expo 2017 In Research Conference Proceedings, International Ground Source Heat Pump Association Conference & Expo, March 14-16, 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)
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author
organization
publishing date
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
in
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
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
2017-03-27 14:41:29
@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 },
  keyword      = {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},
  year         = {2017},
}