A new analytical method to simulate heat transfer process in buildings

A new analytical method 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. Applying the periodic properties of the boundary condition, an approximately analytical solution for heat transfer is obtained. No numerical work is needed. The adopted method presents an extension of the novel analytical approach developed for one-dimensional heat conduction in composite slab. The final close-formed solutions are simple and concise which can be used as design and control guidelines in building engineering applications.