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Principles of modelling of slinky-coil groundheat exchangers

Larwa Barbara, Kupiec Krzysztof

Chemical and Process Engineering

2020

Vol. 41, nr 2

81--93

The paper presents analytical relationships based on the theory of Green’s functions. The relationshipsrefer to instantaneous and continuous as well as point and ring heat sources which are discussed. Therelationship relating to continuous ring source is the basis for modelling and designing of spiral groundheat exchangers. Heat transfer in the infinite and semi-infinite body was considered. In the latter case,the image method was discussed. Using the results of measurements regarding heat transfer in theground with a heat exchanger in the form of a single coil installed, a comparison of calculated groundtemperatures with measured values was presented.

Study of temperature distribution in the ground

Larwa Barbara, Kupiec Krzysztof

Chemical and Process Engineering

2019

Vol. 40, nr 1

123–-137

Knowledge of the temperature distribution in subsurface layers of the ground is important in thedesign, modelling and exploitation of ground heat exchangers. In this work a mathematical model ofheat transfer in the ground is presented. The model is based on the solution of the equation of transientheat transfer in a semi-infinite medium. In the boundary condition on the surface of the groundradiation fluxes (short- and long-wave), convective heat flux and evaporative heat flux are taken intoaccount. Based on the developed model, calculations were carried out to determine the impact ofclimatic conditions and the physical properties of the ground on the parameters of the Carslaw-Jeagerequation. Example results of calculated yearly courses of the daily average temperature of the surfaceof the ground and the amount of particular heat fluxes on the ground surface are presented. Thecompatibility of ground temperature measurements at different depths with the results obtained fromthe Carslaw–Jaeger equation is evaluated. It was found thatthe temperature distribution in the groundand its variability in time can be calculated with good accuracy.