functiongroundCouplingFactors

Geometric factors for buried pipe-ground coupling

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

Information

This function computes the multiple buried pipe system coupling matrix P described by Kusuda (1981).

For a network of n buried pipes that are coaxial, the matrix P of size n x n is computed from the system geometry:

image

where:
ai = horizontal position of pipe i
di = depth of pipe i
ri = external radius of pipe i

References

Kusuda, T. (1981). Heat transfer analysis of underground heat and chilled-water distribution systems. National Bureau of Standards.

Inputs

TypeNameDefaultDescription
IntegernPipNumber of pipes
Modelica.Units.SI.Length[nPip]depPipes Buried Depth
Modelica.Units.SI.Length[nPip]posPipes Horizontal Coordinate (to an arbitrary reference point)
Modelica.Units.SI.Length[nPip]radPipes external radius

Outputs

TypeNameDefaultDescription
Real[nPip,nPip]PThermal coupling geometric factors

Revisions

  • March 17, 2021, by Baptiste Ravache:
    First implementation.