Thermal Step Response of N-Layer Composite Walls—Accurate Approximative Formulas

Hagentoft, Carl-Eric; Pallin, Simon B.

doi:10.1115/1.4045642

Title: Thermal Step Response of N-Layer Composite Walls—Accurate Approximative Formulas

Journal Article · 16 January 2020 · Journal of Heat Transfer

DOI: https://doi.org/10.1115/1.4045642 · OSTI ID:1606949

Hagentoft, Carl-Eric ^[1];

^[2]

Chalmers Univ. of Technology, Gothenburg (Sweden)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

For many industrial applications, heat flow through composites relates directly to energy usage and thus is of highest interest. For multilayer composites, the heat flow is a result of multiple variables, such as the temperature gradient over the surface boundaries and each material's thermal conductivity, specific heat, and thickness. In addition, the transient heat flux also depends on how the materials are aligned together. The heat flow through composites can be estimated using advanced computer simulations for applied heat transfer. Although these tools are powerful, they are also time consuming. Therefore, approximations that allow the estimation of heat flow through composites can be very useful. This paper presents approximations to solve transient heat transfer in multilayer composites, with and without an interior surface resistance. Since the energy use for various applications relates to the heat transferred at the surface boundary, the main focus of this paper is to define approximate solutions for interior heat flow. In other words, these approximations are found by applying a unit step change in temperature on one side of a composite and then in real-time emulating the surface heat flux on the opposite side from which the step change occurs. Finally, the approximations are presented based on lumped analyses and Laplace network solutions and are validated against analytical and numerical solutions.

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Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: Swedish Governmental Core; USDOE Office of Energy Efficiency and Renewable Energy (EERE)

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 1606949

Journal Information:: Journal of Heat Transfer, Journal Name: Journal of Heat Transfer Journal Issue: 3 Vol. 142; ISSN 0022-1481

Publisher:: ASMECopyright Statement

Country of Publication:: United States

Language:: English

References (12)

The convective heat exchange at the external surface of buildings Cole, R. J.; Sturrock, N. S. Building and Environment, Vol. 12, Issue 4 https://doi.org/10.1016/0360-1323(77)90021-X	journal	January 1977
The role of thermal mass on the cooling load of buildings. An overview of computational methods Balaras, C. A. Energy and Buildings, Vol. 24, Issue 1 https://doi.org/10.1016/0378-7788(95)00956-6	journal	January 1996
A reciprocal theorem in two-dimensional heat transfer and its implications Schulgasser, K. International Communications in Heat and Mass Transfer, Vol. 19, Issue 5 https://doi.org/10.1016/0735-1933(92)90047-L	journal	September 1992
Wall transient heat flow using time-domain analysis Davies, M. G. Building and Environment, Vol. 32, Issue 5 https://doi.org/10.1016/S0360-1323(97)00007-3	journal	September 1997
The impact of thermal mass on building energy consumption Reilly, Aidan; Kinnane, Oliver Applied Energy, Vol. 198 https://doi.org/10.1016/j.apenergy.2017.04.024	journal	July 2017
Analytical optimization of specific heat of building internal envelope Jiang, Feng; Wang, Xin; Zhang, Yinping Energy Conversion and Management, Vol. 63 https://doi.org/10.1016/j.enconman.2012.01.038	journal	November 2012
On the Necessity of Positive Semi-Definite Conductivity and Onsager Reciprocity in Modeling Heat Conduction in Anisotropic Media Powers, Joseph M. Journal of Heat Transfer, Vol. 126, Issue 5 https://doi.org/10.1115/1.1798913	journal	October 2004
Laplace Transform Solution for Heat Transfer in Composite Walls With Periodic Boundary Conditions Zedan, M. F.; Mujahid, A. M. Journal of Heat Transfer, Vol. 115, Issue 1 https://doi.org/10.1115/1.2910659	journal	February 1993
Numerical Inversion of Laplace Transform for Time Resolved Thermal Characterization Experiment Toutain, J.; Battaglia, J. -L.; Pradere, C. Journal of Heat Transfer, Vol. 133, Issue 4 https://doi.org/10.1115/1.4002777	journal	January 2011
A Closed Form Solution of Dual-Phase Lag Heat Conduction Problem With Time Periodic Boundary Conditions Biswas, Pranay; Singh, Suneet; Bindra, Hitesh Journal of Heat Transfer, Vol. 141, Issue 3 https://doi.org/10.1115/1.4042491	journal	February 2019
The MATLAB ODE Suite Shampine, Lawrence F.; Reichelt, Mark W. SIAM Journal on Scientific Computing, Vol. 18, Issue 1 https://doi.org/10.1137/S1064827594276424	journal	January 1997
Development and Validation of Numerical Models for Evaluation of Foam-Vacuum Insulation Panel Composite Boards, Including Edge Effects Biswas, Kaushik Energies, Vol. 11, Issue 9 https://doi.org/10.3390/en11092228	journal	August 2018