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On the local constitutive and directed graph network representations of response factors

Abstract

Many calculation procedures for determining the thermal transport through building walls are based on thermostat directed graph networks. A recent study showed that such design calculations were only accurate to the 50% level. Thermal transport processes can be represented in either a local constitutive convolution form or as a directed graph network. Both representations are based on response factors which can, in principle, be used to estimate dynamic thermal transmission of the building components. This paper shows that only the local constitutive equations yield, for all cases, consistent and accurate values for the physical properties of the materials under test. The directed graph network representations are unreliable because they are ill posed and are likely to lead to erroneous predictions for the performance of buildings. The constitutive representation allows the measurement of thermal conductivity and transmission of building components under real meteorological conditions. It is then used to measure the convective and radiative coefficients of a wall and the representation can be extended to the nonlinear thermal transport case. (7 figures, 2 tables). (Author)
Authors:
Irving, A D; [1]  Dudek, S; Warren, G; [2]  Dewson, T [3] 
  1. Rutherford Appleton Lab., Chilton (United Kingdom)
  2. Newcastle upon Tyne Univ. (United Kingdom). Dept. of Building Science
  3. Bristol Univ. (United Kingdom). Dept. of Mathematics
Publication Date:
Oct 01, 1993
Product Type:
Technical Report
Report Number:
RAL-93-075
Reference Number:
SCA: 320100; PA: GB-93:053664; EDB-94:029545; NTS-94:010565; ERA-19:009510; SN: 94001135381
Resource Relation:
Other Information: PBD: Oct 1993
Subject:
32 ENERGY CONSERVATION, CONSUMPTION, AND UTILIZATION; WALLS; HEAT TRANSFER; MATHEMATICAL MODELS; HEAT FLUX; 320100; BUILDINGS
OSTI ID:
10124771
Research Organizations:
Rutherford Appleton Lab., Chilton (United Kingdom)
Country of Origin:
United Kingdom
Language:
English
Other Identifying Numbers:
Other: ON: DE94733312; TRN: GB9353664
Availability:
OSTI; NTIS (US Sales Only)
Submitting Site:
GB
Size:
27 p.
Announcement Date:
Jul 04, 2005

Citation Formats

Irving, A D, Dudek, S, Warren, G, and Dewson, T. On the local constitutive and directed graph network representations of response factors. United Kingdom: N. p., 1993. Web.
Irving, A D, Dudek, S, Warren, G, & Dewson, T. On the local constitutive and directed graph network representations of response factors. United Kingdom.
Irving, A D, Dudek, S, Warren, G, and Dewson, T. 1993. "On the local constitutive and directed graph network representations of response factors." United Kingdom.
@misc{etde_10124771,
title = {On the local constitutive and directed graph network representations of response factors}
author = {Irving, A D, Dudek, S, Warren, G, and Dewson, T}
abstractNote = {Many calculation procedures for determining the thermal transport through building walls are based on thermostat directed graph networks. A recent study showed that such design calculations were only accurate to the 50% level. Thermal transport processes can be represented in either a local constitutive convolution form or as a directed graph network. Both representations are based on response factors which can, in principle, be used to estimate dynamic thermal transmission of the building components. This paper shows that only the local constitutive equations yield, for all cases, consistent and accurate values for the physical properties of the materials under test. The directed graph network representations are unreliable because they are ill posed and are likely to lead to erroneous predictions for the performance of buildings. The constitutive representation allows the measurement of thermal conductivity and transmission of building components under real meteorological conditions. It is then used to measure the convective and radiative coefficients of a wall and the representation can be extended to the nonlinear thermal transport case. (7 figures, 2 tables). (Author)}
place = {United Kingdom}
year = {1993}
month = {Oct}
}