Three-dimensional conduction z-transfer function coefficients determined from the response factors |
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| Affiliation: | 1. Department of Eco-Building Engineering, Polish Academy of Sciences, Swietokrzyska 21, 00 049 Warsaw, Poland;2. Oak Ridge National Laboratory, Buildings and Materials Group, Building 3247, M.S. 6070, Oak Ridge, TN 37831-6070, USA;1. Department of Mechanical Engineering, Indian Institute of Technology Ropar, Rupnagar 140001, India;2. Department of Mechanical Engineering, State University of New York Binghamton, Binghamton University, NY 13902, USA;3. Department of Mechanical Engineering, Indian Institute of Technology Madras, Chennai 600036, India;1. Institute of Inter-disciplinar Mathematics (IMI) and Department of Analysis and Applied Mathematics, Complutense University of Madrid, Madrid 28040, Spain;2. Department of Mathematics, University of Wisconsin-Madison, Madison, WI 53706, USA;1. Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai, 201800, China;2. Center for Excellence in TMSR Energy System, Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai, 201800, China;3. University of Chinese Academy of Sciences, Beijing, 100049, China |
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| Abstract: | A method of derivation of the conduction z-transfer function coefficients from response factors, for three-dimensional wall assemblies, is described.Results of the conduction z-transfer function coefficients calculations are presented for clear walls and separated details which are listed in ASHRAE research project 1145-TRP: “Modeling Two- and Three-Dimensional Heat Transfer Through Composite Wall and Roof Assemblies in Hourly Energy Simulation Programs”. Resistances, three-dimensional response factors and so-called structure factors, have been computed using the finite-difference computer code HEATING 7.2. The z-transfer function coefficients were then derived from a set of linear equations, constituting relationships with the response factors, which were solved using the minimum-error procedure.Test simulations show perfect compatibility of the heat flux calculated using three-dimensional response factors and three-dimensional z-transfer function coefficients, derived from the response factors. |
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