General Mathematics


Computational Analysis of the Heat Gain of Buildings Through Their Roofs Using a Heat Transfer Transient Nonlinear Model Solved by Numerical Methods

Authors: Carlos Armando De Castro

In this paper heat transfer through roofs with one layer and with two layers of materials with an air gap between them is modeled. Solar radiation and infrared atmospheric radiation over the exterior surface of the roof are considered, also the convective and radiative heat exchange between the surfaces that limit the air gap in the roof. The transient partial differential heat equation is solved with the nonlinear time variant boundary conditions and the discrete heat equation considered like a system of nonlinear equations for each time step with the Newton-Raphson multidimensional iteration. A code in MATLAB was used to implement the algorithm of solution. With the temperature profile known the heat gain through the roof to the interior of the building is calculated considering a constant internal temperature, with meteorological conditions from the Caribbean Coast of Colombia and varying the roof surfaces’materials and properties to radiation.

Comments: 9 Pages.

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Submission history

[v1] 2015-08-08 23:31:46

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