.IDEAS.Buildings.Components.BaseClasses.ConductiveHeatTransfer.MonoLayerDynamic

Information

For the purpose of dynamic building simulation, the partial differential equation of the continuous time and space model of heat transport through a solid is most often simplified into ordinary differential equations with a finite number of parameters representing only one-dimensional heat transport through a construction layer. Within this context, the wall is modeled with lumped elements, i.e. a model where temperatures and heat fluxes are determined from a system composed of a sequence of discrete resistances and capacitances R_{n+1}, C_{n}. The number of capacitive elements $n$ used in modeling the transient thermal response of the wall denotes the order of the lumped capacitance model.

where is the added energy to the lumped capacity, is the temperature of the lumped capacity, is the thermal capacity of the lumped capacity equal to for which rho denotes the density and is the specific heat capacity of the material and the equivalent thickness of the lumped element, where the heat flux through the lumped resistance and is the total thermal resistance of the lumped resistance and where are internal thermal source.

Revisions

• January 25, 2019, by Filip Jorissen:
  Revised initial equation implementation. See issue #971.
• January 25, 2018, by Filip Jorissen:
  Propagated T_start in the declaration of T. See issue #692.
• December 8, 2016, by Filip Jorissen and Damien Picard:
  Revised implementation of placeCapacityAtSurf_b, which has been renamed to addRes_b. This is for solving problems when linearising a model. See issue 591.
• February 10, 2016, by Filip Jorissen and Damien Picard:
  Revised implementation.