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Explicit Multipole Formulas for Calculating Thermal Resistance of Single U-Tube Ground Heat Exchangers

Claesson, Johan, 1943 (author)
Lund University,Lunds universitet,Avdelningen för Byggnadsfysik,Institutionen för bygg- och miljöteknologi,Institutioner vid LTH,Lunds Tekniska Högskola,Division of Building Physics,Department of Building and Environmental Technology,Departments at LTH,Faculty of Engineering, LTH
Javed, Saqib, 1978 (author)
Chalmers University of Technology
 (creator_code:org_t)
2018-01-16
2018
English.
In: Energies. - : MDPI AG. - 1996-1073 .- 1996-1073. ; 11:1
  • Journal article (peer-reviewed)
Abstract Subject headings
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  • Borehole thermal resistance is both an important design parameter and a key performance characteristic of a ground heat exchanger. Another quantity that is particularly important for ground heat exchangers is the internal thermal resistance between the heat exchanger pipes. Both these resistances can be calculated to a high degree of accuracy by means of the well-known multipole method. However, the multipole method has a fairly intricate mathematical algorithm and is thus not trivial to implement. Consequently, there is considerable interest in developing explicit formulas for calculating borehole resistances. This paper presents derivation and solutions of newly derived second-order and higher-order multipole formulas for calculating borehole thermal resistance and total internal thermal resistance of single U-tube ground heat exchangers. A new and simple form of the first-order multipole formula is also presented. The accuracy of the presented formulas is established by comparing them to the original multipole method. The superiority of the new higher-order multipole formulas over the existing formulas is also demonstrated.

Subject headings

TEKNIK OCH TEKNOLOGIER  -- Maskinteknik -- Energiteknik (hsv//swe)
ENGINEERING AND TECHNOLOGY  -- Mechanical Engineering -- Energy Engineering (hsv//eng)
TEKNIK OCH TEKNOLOGIER  -- Samhällsbyggnadsteknik -- Geoteknik (hsv//swe)
ENGINEERING AND TECHNOLOGY  -- Civil Engineering -- Geotechnical Engineering (hsv//eng)
TEKNIK OCH TEKNOLOGIER  -- Samhällsbyggnadsteknik -- Husbyggnad (hsv//swe)
ENGINEERING AND TECHNOLOGY  -- Civil Engineering -- Building Technologies (hsv//eng)

Keyword

second-order
borehole thermal resistance
multipole method
calculation
internal thermal resistance
third-order
boreholes
ground source heat pump (GSHP) systems
Borehole thermal resistance
Boreholes
Calculation
Ground source heat pump (GSHP) systems
Internal thermal resistance
Multipole method
Second-order
Third-order

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ref (subject category)

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ENGINEERING AND TECHNOLOGY
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