functionfiniteLineSource_SteadyState

Steady-state finite line source solution

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

Information

This function evaluates the steady-state value of finite line source solution. This solution gives the relation between the constant heat transfer rate (per unit length) injected by a line source of finite length H₁ buried at a distance D₁ from a constant temperature surface (T=0) and the average temperature raise over a line of finite length H₂ buried at a distance D₂ from the constant temperature surface. The finite line source solution is defined by:

where ΔT_1-2(t,r,H₁,D₁,H₂,D₂) is the temperature raise after a time t of constant heat injection and at a distance r from the line heat source, Q' is the heat injection rate per unit length, k_s is the soil thermal conductivity and h_FLS is the finite line source solution.

The steady-state finite line source solution is given by:

Inputs

Type	Name	Default	Description
Modelica.Units.SI.Distance	dis		Radial distance between borehole axes
Modelica.Units.SI.Height	len1		Length of emitting borehole
Modelica.Units.SI.Height	burDep1		Buried depth of emitting borehole
Modelica.Units.SI.Height	len2		Length of receiving borehole
Modelica.Units.SI.Height	burDep2		Buried depth of receiving borehole
Boolean	includeRealSource	true	True if contribution of real source is included
Boolean	includeMirrorSource	true	True if contribution of mirror source is included

Outputs

Type	Name	Default	Description
Real	h_21		Thermal response factor of borehole 1 on borehole 2

Revisions

June 9, 2022 by Massimo Cimmino:
First implementation.