In this paper, we discussed the development and validation of a 1D mathematical model for simulating heat transfer in a water-tube steam boiler. The furnace chamber was modeled as a uniform volume with a constant flue gas temperature and constant flue gas heat transfer coefficient to the refractory surface. The radiant and convective pass, as well as the steam superheaters, were modeled using the 1D cell method, where the heat transfer coefficient and all associated balance equations are calculated for each cell. The heat transfer through the economizer was calculated using the mean logarithmic temperature method. The temperatures of the media through all edge flow cross-sections of the heating surfaces are unknown, and in addition, the nature of the heat transfer is nonlinear, so we developed an algorithm for iterative solver. The validation results showed that the proposed mathematical model is suitable for dimensioning such energy devices and, with known dimensions, allows for simulation of the response to selected input parameters.
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