{"paper":{"title":"Heat and mass transfer through fabric: a model for fabric drying with heated cylinders","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"A mathematical model of heat and mass transfer predicts fabric drying time and residual moisture on heated cylinders.","cross_cats":["cs.NA","math.OC"],"primary_cat":"math.NA","authors_text":"Adriano Milazzo, Alessandra Papini, Nicol\\`o Fiorini, Stefania Bellavia","submitted_at":"2026-05-06T08:45:37Z","abstract_excerpt":"Textile drying is a key operation in the textile production cycle as it represents one of the most energy-intensive stages and plays a critical role in determining both product quality and overall process efficiency. In this work we propose a mathematical model for the drying process of a generic textile material using heated cylinders, operating under low-pressure conditions. The model's parameters are estimated by nonlinear least squares regression. Given a specific fabric, the developed model allows to predict the drying time and the residual moisture content. The model is validated using r"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"Given a specific fabric, the developed model allows to predict the drying time and the residual moisture content. 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The model is validated using real world data provided by a major Italian textile company.","one_line_summary":"A heat and mass transfer model for fabric drying with heated cylinders predicts drying time and residual moisture after fitting parameters to industrial data.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The heat and mass transfer processes in the fabric can be adequately captured by the chosen differential equations with a small set of constant parameters that remain valid across the operating range, and that nonlinear least squares fitting on the available data yields values that generalize beyond the fitting set.","pith_extraction_headline":"A mathematical model of heat and mass transfer predicts fabric drying time and residual moisture on heated cylinders."},"integrity":{"clean":false,"summary":{"advisory":3,"critical":1,"by_detector":{"doi_compliance":{"total":4,"advisory":3,"critical":1,"informational":0}},"informational":0},"endpoint":"/pith/2605.04644/integrity.json","findings":[{"note":"DOI in the printed bibliography is fragmented by whitespace or line breaks. 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