Abstract
The objective of this study is to analyze the dynamic behaviour of room air and surface temperatures when (a) the system parameters are time dependent, (b) the radiant heat exchange between interior surfaces or the multi-space heat transfer has to be considered and (c) the modern optimal control theory is applied to these control systems. State variable vector is applicable to solve these problems. In this paper, the mathematical modeling of the multi-layer heat transfer system is described and the accuracy of its approximate transfer functions is discussed in detail by using vector locus of the frequency response. The summaries are as follows : 1) Various aspects to analyze the multi-layer heat transfer system are investigated. They are; (a) basic equation describing the system, (b) analytical domain and (c) state space concept. 2) Sensitivities of the heat flux response at the surface of a concrete wall against the air temperature exitation are examined to the parameter variation. Heat flux at the surface is very sensitive to the variation of the exited-side film conductance. 3) The frequency responses of several transfer functions models are compared with the exact one by using vector locus. An approximate transfer functions model is proposed to describe the heat flux response at the surface of multi-layer slabs against the surface temperature exitation. This model is based on the approximate 2-P chain matrix of each layer. 4) This model is applied to various kinds of multi-layer walls and roofs. Sufficient results can be obtained.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Transactions of the Architectural Institute of Japan
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
