| Key Words |
2D mathematical models; beech logs; freezing; thawing; icing degree; ambient air temperature. |
| Abstract |
This paper presents a methodology for mathematical modeling and research of two mutually connected problems: 2D non-stationary temperature distribution in logs subjected to many days and nights alternating freezing and thawing at periodically changing air temperature near them and change in the icing degree of the logs during these processes. Mathematical descriptions of the periodically changing ambient air temperature and of the icing degree of the logs under influence of that temperature have been carried out. These descriptions are introduced in our mutually connected 2D non-linear mathematical models of the 2D temperature distribution in logs during their freezing and thawing at convective boundary conditions. The paper presents solutions of the models with explicit form of the finite-difference method in the calculation environment of Visual FORTRAN. Results from a simulative investigation of 2D nonstationary temperature distribution and icing degree of beech logs with a diameter of 0.24 m, length of 0.48 m, moisture content of 0.6 kg·kg-1 , and initial temperature of 0 ?C during their 5 days and nights alternating freezing and thawing at sinusoidal change of the air ... |
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