Analytical Model for Predicting Whole Building Heat Transfer

Authors: Xiaoshu Lu, Martti Viljanen

Abstract:

A new analytical model is developed which provides close-formed solutions for both transient indoor and envelope temperature changes in buildings. Time-dependent boundary temperature is presented as Fourier series which can approximate real weather conditions. The final close-formed solutions are simple, concise, and comprehensive. The model was compared with numerical results and good accuracy was obtained. The model can be used as design and control guidelines in engineering applications for analysing mechanical heat transfer properties for buildings.

Keywords: Analytical model, heat transfer, whole building.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1072175

References:

[1] X. Lu, D. Clements-Croome and M. Viljanen, "Past, present and future mathematical models for buildings: focus on intelligent buildings (I)", Intelligent Building International Journal, vol 1, pp23-38, 2009.
[2] H.S. Carslaw and J.C. Jaeger, Conduction of Heat in Solid (2nd ed.), Oxford University Press: Oxford, UK,1959.
[3] M.D. Mikhailov and M.N. Özisik, Unified Analysis and Solutions of Heat and Mass Diffusion, Dover Publications Inc.: Mineola, N.Y., 1994.
[4] T.P. Fredman, "An analytical solution method for composite layer diffusion problem with an application in metallurgy", Heat and Mass Transfer, vol. 39, pp. 285-295, 2003.
[5] G.P. Mitalas, "Calculation of transient heat flow through walls and roofs", ASHRAE Transactions, vol. 74, pp. 182-188, 1968.
[6] D.G. Stephenson and G.P. Mitalas, "Calculation of heat conduction transfer functions for multilayer slabs", ASHRAE Transaction, vol. 77, pp. 117-126, 1971.
[7] M.S. Bhandari and N. Bansal, "Solar heat gain factors and heat loss coefficients for passive heating concepts", Solar Energy, vol. 53, pp. 199-208, 1994.
[8] J. Boland, "The analytical solution of the differential equations describing heat flow in houses", Building and Environment, vol. 37, pp. 1027-1035, 2002.
[9] X. Lu, T. Lu and M. Viljanen, "A new analytical method to simulate heat transfer process in buildings", Applied Thermal Engineering, vol. 26, pp. 1901-1909, 2006.
[10] X. Lu, "Modelling heat and moisture transfer in buildings: (I) Model program", Energy and Buildings, vol. 34, pp. 1033-1043, 2002.