Analytical Calculation on Temperature Field of Concrete Cylinder by Laplace Integral Transform

A mathematical model of the transient heat conduction in a cylinder was developed to investigate the temperature distribution of large concrete cylinder structures subjected to the solar radiation. As the first step, meteorological parameters were used to describe the boundary conditions. Further, the Laplace transform method was adopted to develop the analytical method for the temperature field of the cylinder. Consequently, the calculation was transformed from time domain to Laplace domain. Next, the solution to Laplace domain was inversely transformed to that in time domain by stehfest inversion. In order to comply the calculation of the temperature field, a mathematical software Maple was adopted to implement the analytical method. Furthermore, the temperature field obtained with the analytical tool is verified with the measured data, which can be used to calculate the temperature field of concrete cylinder at any time in case of the solar radiation.