Approximating the solution of the discharging process in a domestic hot water storage tank

Frank Müller

Mathematical and Computer Modelling of Dynamical Systems, 2021, vol. 27, issue 1, 141-161

Abstract: In this article a new approximation procedure for the temperature during the discharging process in a domestic hot water storage tank is developed. The main idea of this procedure is the mathematical description of the dynamic behaviour of a boundary layer that appears inside the storage tank. This leads to an approximate solution of a simple structure but a high accuracy throughout the whole discharging process for the temperature distribution inside the storage tank. For validation the approximate solution is compared with the exact solution that is constructed with help of generalized Fourier coefficients and a numerical solution that is obtained by a semi-discretization method. Adapting the method leads also to an approximation procedure for charging processes.

Date: 2021
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DOI: 10.1080/13873954.2021.1887277

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