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Heat transfer in a borehole heat exchanger: Frequency domain modeling

Monteyne, Griet ; Javed, Saqib LU and Vandersteen, Gerd (2014) In International Journal of Heat and Mass Transfer 69. p.129-139
Abstract
This paper proposes a new frequency domain method to model the heat transfer between the injected/extracted heat and the temperature of the fluid exiting a borehole heat exchanger. The method is based on in situ measurements and focuses particularly on the short-term borehole heat transfer. It uses a rational function of the Warburg variable in the Laplace domain to model the borehole heat transfer. The rational model is transformed to a time domain model using inverse Laplace transformation. This time domain model makes it possible to calculate the temperature response on a random heat variation signal. The paper also demonstrates a new way to perform the classical thermal response test. Instead of injecting a constant amount of heat, the... (More)
This paper proposes a new frequency domain method to model the heat transfer between the injected/extracted heat and the temperature of the fluid exiting a borehole heat exchanger. The method is based on in situ measurements and focuses particularly on the short-term borehole heat transfer. It uses a rational function of the Warburg variable in the Laplace domain to model the borehole heat transfer. The rational model is transformed to a time domain model using inverse Laplace transformation. This time domain model makes it possible to calculate the temperature response on a random heat variation signal. The paper also demonstrates a new way to perform the classical thermal response test. Instead of injecting a constant amount of heat, the experiments have been performed using multiple short-duration heat injections. In this way, the obtained rational heat transfer model contains information about both the short- and the long-term heat transfer. The results obtained using the proposed modeling method are compared with those obtained from a state-of-the-art analytical method. The time domain model can be used to design a controller to optimize the performance of a Ground Source Heat Pump system, the efficiency of which depends strongly on the temperature of the fluid exiting the borehole. (Less)
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author
; and
publishing date
type
Contribution to journal
publication status
published
subject
in
International Journal of Heat and Mass Transfer
volume
69
pages
11 pages
publisher
Pergamon Press Ltd.
external identifiers
  • scopus:84887219949
ISSN
0017-9310
DOI
10.1016/j.ijheatmasstransfer.2013.10.015
language
English
LU publication?
no
id
2d59ac9f-c558-4dbc-aaac-c681a0861521
date added to LUP
2016-05-26 00:10:29
date last changed
2022-11-11 12:00:00
@article{2d59ac9f-c558-4dbc-aaac-c681a0861521,
  abstract     = {{This paper proposes a new frequency domain method to model the heat transfer between the injected/extracted heat and the temperature of the fluid exiting a borehole heat exchanger. The method is based on in situ measurements and focuses particularly on the short-term borehole heat transfer. It uses a rational function of the Warburg variable in the Laplace domain to model the borehole heat transfer. The rational model is transformed to a time domain model using inverse Laplace transformation. This time domain model makes it possible to calculate the temperature response on a random heat variation signal. The paper also demonstrates a new way to perform the classical thermal response test. Instead of injecting a constant amount of heat, the experiments have been performed using multiple short-duration heat injections. In this way, the obtained rational heat transfer model contains information about both the short- and the long-term heat transfer. The results obtained using the proposed modeling method are compared with those obtained from a state-of-the-art analytical method. The time domain model can be used to design a controller to optimize the performance of a Ground Source Heat Pump system, the efficiency of which depends strongly on the temperature of the fluid exiting the borehole.}},
  author       = {{Monteyne, Griet and Javed, Saqib and Vandersteen, Gerd}},
  issn         = {{0017-9310}},
  language     = {{eng}},
  pages        = {{129--139}},
  publisher    = {{Pergamon Press Ltd.}},
  series       = {{International Journal of Heat and Mass Transfer}},
  title        = {{Heat transfer in a borehole heat exchanger: Frequency domain modeling}},
  url          = {{http://dx.doi.org/10.1016/j.ijheatmasstransfer.2013.10.015}},
  doi          = {{10.1016/j.ijheatmasstransfer.2013.10.015}},
  volume       = {{69}},
  year         = {{2014}},
}