Simulation of Heat-Mass Transfer in the Gas-Solid System at Dowel Joints of Timber Structures Elements.Part 2. Dynamics of Temperature Fields at Arbitrary Law of Changes of Air Environment Temperature
Physical and mathematical models of heat transfer in the timber of dowel joint are presented. The physical model is based on the idea about timber as a colloid capillary-porous body. Itis shown that due to the significant difference of thermo-physical properties of a metal dowel and timber (above all, the coefficients of heat conductivity and temperature diffusivity differby an order and more) the change of dowel's temperature takes place in accordance with the change of operational air environment; at that, temperature profiles determined by thethermal conductivity law are formed in the wood. The mathematical model is based on the non-linear differential equation of heat conductivity of parabolic type with the non-linearboundary conditions of the first and second kind and on the general function which determines the initial temperature distribution. In case of the use of the “micro-processes” methodthe problem is linearized, its numerical-analytic solution becomes possible. Graphic illustrations of model calculations are presented.