کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1730979 | 1521442 | 2016 | 8 صفحه PDF | دانلود رایگان |
• Non steady-state physical and mathematical model of underground spaces.
• Solution of the Fourier's equation with 3rd kind time-varying boundary condition.
• Determination of the heat fluxes also air and wall temperatures.
• Graphics: evolution of the heat flux, air and wall temperature.
• Influence of thermal insulation, internal heat load and supply air parameters.
In this paper our primary aim is to define the changes of air and internal wall temperature in underground spaces in time domain. As an additional aim the change of heat flux through the wall in time domain has been calculated. Based on the heat balance, the dynamic basic equation of the space has been defined. The basic equation is a differential equation which contains the internal heat sources and the heat capacity of the space. For solving the basic equation, the initial condition, the time-varying boundary condition of the third kind and the Fourier's conductivity differential equation are necessary. The convolution integral of the solution function has been obtained by the use of the integral-differential equation acquired by substituting the temperatures and heat fluxes into the basic equation. The solution of the acquired equation can be obtained in a numerical way. Our new mathematical approach to the solution of the physical model makes it possible to investigate the air and wall temperatures, as well as the heat flow through the wall in underground spaces.
Journal: Energy - Volume 106, 1 July 2016, Pages 520–527