Abstract
| The issue of mathematical modeling in order to simulate physical processes or physical systems, permanently preoccupy a significant number of researchers. The sustained efforts being made in this direction are determined by the benefits that simulation can provide and by the development of software packages capable of performing such simulations. It is obvious that mathematical modeling followed by simulation allows the study of possible situations that would be difficult to achieve in real systems and could lead to an irremediable defect. If the mathematical modeling of stationary processes with respect to time is pretty well set, for the transient process simulation is still much to study. The mathematical equations describing such processes are generally of higher order, sometimes they are transcendent, and thus harder to solve. In the paper the authors are concerned with the modeling of transient thermal processes. When analyzing electrical heating systems, the main problem occurs due to heat transfer through the walls. This phenomenon appears at multilayered cylindrical walls, when heat is transferred through it, and a part of it is stored into the wall as internal energy. This paper aims to determine some mathematical relationships which describe the heat storage processes in components with cylindrical geometry. Determined mathematical equations will be used furthermore in the modeling of transient thermal processes in structures with cylindrical geometry. This allows the simulation of multilayer insulation systems under a transient thermal regime for a long time, using Matlab-Simulink toolkit. |
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