functioninfiniteLineSource

Infinite line source model for borehole heat exchangers

Extends from Modelica.Icons.Function (Icon for functions).

Information

This function evaluates the infinite line source solution. This solution gives the relation between the constant heat transfer rate (per unit length) injected by a line heat source of infinite length and the temperature raise in the medium. The infinite line source solution is defined by

image

where ΔT(t,r) is the temperature raise after a time t of constant heat injection and at a distance r from the line source, Q' is the heat injection rate per unit length, ks is the soil thermal conductivity and hILS is the infinite line source solution.

The infinite line source solution is given by the exponential integral

image

where αs is the ground thermal diffusivity. The exponential integral is implemented in Buildings.Utilities.Math.Functions.exponentialIntegralE1.

Inputs

TypeNameDefaultDescription
RealtTime
RealaSoiGround thermal diffusivity
RealdisRadial distance between borehole axes

Outputs

TypeNameDefaultDescription
Realh_ilsThermal response factor of borehole 1 on borehole 2

Revisions

  • March 22, 2018 by Massimo Cimmino:
    First implementation.