@ARTICLE{Kropiwnicki_Jacek_The, author={Kropiwnicki, Jacek and Dawidowicz, Bartosz and Wojewódka, Przemysław and Rogala, Andrzej}, volume={Accepted articles}, journal={Chemical and Process Engineering: New Frontiers}, howpublished={online}, publisher={Polish Academy of Sciences Committee of Chemical and Process Engineering}, abstract={At the design stage of heat exchange installation used for gas conversion it is required to test the stability of the installation operation for the expected variable heat loads. For this purpose, a numerical model of the installation can be used. The paper presents an original concept of modelling the operation of heat exchange installations for randomly changing temperatures. Accumulation elements with lumped parameters were used in the model, which significantly facilitates the definition of model parameters and the calculation itself at the design stage. Due to the randomly changing temperatures supplying the accumulation element by the heating medium and the non-linear nature of the functions used in the calculation model, the iterative procedure was used for calculations. The process of validation of the proposed computational model of the accumulation element with lumped parameters was carried out for a water installation powered by a natural gas-fired boiler. The obtained results showed very good accuracy of the applied approach, the root mean square error for tested data has reached 1°C to 3°C, depending on the analysed case.}, type={Article}, title={The use of accumulation elements with lumped parameters to model the operation of heat exchange installations under randomly changing temperatures}, URL={http://journals.pan.pl/Content/132434/e66_CPE-00160-2023-03-Accepted%20Article.pdf}, doi={10.24425/cpe.2024.149461}, keywords={heat transfer modelling, warming-up process, chemical installation temperature control, randomly modified conditions}, }