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

Information

This function evaluates the cylindrical heat source solution. This solution gives the relation between the constant heat transfer rate (per unit length) injected by a cylindrical heat source of infinite length and the temperature raise in the medium. The cylindrical heat 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 cylindrical source, Q' is the heat injection rate per unit length, k_s is the soil thermal conductivity, Fo is the Fourier number, aSoi_s is the ground thermal diffusivity, r_b is the radius of the cylindrical source and G is the cylindrical heat source solution.

The cylindrical heat source solution is given by:

The integral is solved numerically, with the integrand defined in AixLib.Fluid.Geothermal.Borefields.BaseClasses.HeatTransfer.ThermalResponseFactors.cylindricalHeatSource_Integrand.

Interface

function cylindricalHeatSource
  extends Modelica.Icons.Function;
  input Modelica.Units.SI.Time t "Time";
  input Modelica.Units.SI.ThermalDiffusivity aSoi "Ground thermal diffusivity";
  input Modelica.Units.SI.Distance dis "Radial distance between borehole axes";
  input Modelica.Units.SI.Radius rBor "Radius of emitting borehole";
  output Real G "Thermal response factor of borehole 1 on borehole 2";
end cylindricalHeatSource;

Revisions

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