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Report A3132.1 <br /> Page 12 <br /> that includes optimization routines. This method was documented and applied <br /> for determining the in-situ thermal resistance of roof insulations (Gomberg and <br /> Kumaran, 1994) <br /> 2-Dimensional Analysis <br /> The analysis technique for EIBS study was adapted to account for two significant <br /> differences in the test set-up: <br /> 1. The 200 mm concrete wall was interposed between the reference insulation layer <br /> and the test specimen. Analysis showed that the concrete layer modifies the heat <br /> flux leaving the reference specimen through heat storage and through heat flow up <br /> and along the concrete wall. <br /> 2; Temperatures in the soil did not vary significantly on a diumal basis, so that a <br /> statistically valid relationship between specimen conductivity and temperature was <br /> not needed to the-extent considered for the roofing specimens. <br /> The analysis was therefore adapted to assess the heat storage effects and two <br /> dimensional heat loss through and up the wall. A second, more elaborate method was <br /> developed to assess the heat loss in the third dimension, along the wall, and to suggest <br /> what corrections to the 2-D results would be needed. <br /> The 2-D analysis consisted of calculating the horizontal heat flux (inside to outside) and <br /> vertical heat flux (boftom to top) through all materialsinthe control volume defined in <br /> Figure 13. A finite difference technique was used to solve the heat transfer equations <br /> for dynamic heat flow through solids with known boundary conditions, at each point of a <br /> nodal network used to represent the materials in the control volume (see Figure 14). <br /> Using this analysis technique, the temperature differences across the specimen and the <br /> concrete were calculated for each measurement interval. The temperature difference <br /> across the reference insulation determines the heat flux into the concrete. Finite <br /> difference analysis was used to assess the direction and magnitude of heat flux in the <br /> concrete as well as the amount of heat stored or released by the concrete. After these <br /> quantities are evaluated through the concrete, the resulting net heat flux into the <br /> specimen was assessed. Using this heat flux and a postulated thermal conductivity of <br /> the specimen, the resultant temperature differences across the specimen were <br /> calculated. The calculated temperature differences are then compared to measured <br /> results, every ten minutes. Mean errors were calculated on a weekly basis. An iterative <br /> technique was devised to minimize the mean error between calculated temperature <br /> differences and measured, by adjusting the postulated conductivity of the insulated <br /> specimen on a weekly basis. <br /> The factor by which the conductivity was adjusted relative to lab-determine <br /> conductivities of the specimens was labelled 'conductivity adjustment factor'. These <br /> were recorded and plotted on a weekly basis. As well as the reciprocal—the thermal <br /> resistance adjustment factors was plotted. As a final step in the analysis process, the <br />