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EN
The article describes the process of unsteady heat transfer that occurs between the impletion of regenerative heat exchanger and the surrounding air. A mathematical model of this phenomenon and its exemplary solution using the method of elementary balances were presented. Numerical calculations using Mathcad were applied. As a result, the set temperature field is formed in the heat exchanger wall. The influence of the geometrical dimensions (length of the filling) and air velocity on the temperature distribution in the fill were analysed.
EN
This paper describes a process for the non-stationary heat transfer that occurs between the vertical ground heat exchanger, surrounded by grout and the surrounding ground. Mathematical model of this phenomenon and its exemplary solution using the method of elementary balances were presented. Numerical calculations were performed using Mathcad. As a result, the set temperature field is formed in the wall of the heat exchanger, in the grout and also in the ground surrounding the U-tube and the amount of heat extracted from ground in the case of not including the occurrence of filling and using a variety of commonly used grouts.
EN
The article describes the process of unsteady heat transfer that occurs between the vertical ground heat exchanger and the surrounding soil at a depth that is independent from the temperature on the ground surface. A mathematical model of this phenomenon and its examplary solution using the method of elementary balances were presented. Numerical calculations using Mathcad were applied. As a result, the set temperature field is formed in the heat exchanger wall and the surrounding ground.
EN
The paper presents solution of a direct and inverse problem of circular infinite hollow cylinder cooling with a modified method of elementary balances. The idea of the method consists in division of the considered area into sub-domains. In each of the elements the solution is interpolated with the help of linear combination of base functions. The energy is subject to balancing around each of the mesh nodes. The idea is similar to CVFEM (Control Volume Finite Element Method); nevertheless, the base functions applied here in order to approximate the solution in the element are clearly specific for the method. The solution of the inverse problem with randomly disturbed boundary conditions of the flux and temperature at the outer infinite hollow cylinder boundary, with maximum error reaching 10 percent, gives very good results. The inverse problem solution is obtained in the sense of the SVD algorithm.
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