.AixLib.Fluid.Geothermal.Borefields.BaseClasses.HeatTransfer.ThermalResponseFactors.infiniteLineSource

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

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, k_s is the soil thermal conductivity and h_ILS is the infinite line source solution.

The infinite line source solution is given by the exponential integral

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

Interface

function infiniteLineSource
  extends Modelica.Icons.Function;
  input Real t "Time";
  input Real aSoi "Ground thermal diffusivity";
  input Real dis "Radial distance between borehole axes";
  output Real h_ils "Thermal response factor of borehole 1 on borehole 2";
end infiniteLineSource;

Revisions

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