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This research is devoted to studying the drying process of ceramic parts with arbitrary shapes based on Fick\u2019s second law of diffusion and energy conservation. Herein, the mathematical procedure to obtain the exact solutions of the model equations using the Galerkin-based integral method is provided. In the mathematical modeling are considered constant properties and equilibrium conditions at the surface of the material. Emphasis is given to clay ceramic flat plate. Analytical results of the average moisture content, local temperature, and moisture content and temperature fields within the ceramic parts are presented, followed by an in-depth discussion.<\/jats:p>","DOI":"10.3390\/buildings14092674","type":"journal-article","created":{"date-parts":[[2024,8,28]],"date-time":"2024-08-28T03:57:06Z","timestamp":1724817426000},"page":"2674","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Drying of a Clayey Ceramic Flat Plate: Simulation Studies Using the Galerkin-Based Integral Method"],"prefix":"10.3390","volume":"14","author":[{"given":"Ivonete B.","family":"Santos","sequence":"first","affiliation":[{"name":"Department of Physics, State University of Paraiba, Campina Grande 58429-500, Brazil"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1026-4523","authenticated-orcid":false,"given":"Jo\u00e3o M. P. Q.","family":"Delgado","sequence":"additional","affiliation":[{"name":"CONSTRUCT-LFC, Department of Civil Engineering, Faculty of Engineering, University of Porto, 4200-465 Porto, Portugal"}]},{"given":"M\u00e1rcia R.","family":"Luiz","sequence":"additional","affiliation":[{"name":"Department of Sanitary and Environmental Engineering, State University of Paraiba, Campina Grande 58429-500, Brazil"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4387-4600","authenticated-orcid":false,"given":"Ricardo S.","family":"Gomez","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Federal University of Campina Grande, Campina Grande 58429-900, Brazil"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1691-1872","authenticated-orcid":false,"given":"Antonio G. B.","family":"Lima","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Federal University of Campina Grande, Campina Grande 58429-900, Brazil"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8483-4608","authenticated-orcid":false,"given":"Larissa S. S.","family":"Pinheiro","sequence":"additional","affiliation":[{"name":"Postgraduate Program in Process Engineering, Federal University of Campina Grande, Campina Grande 58429-900, Brazil"}]},{"given":"Elaine J. C.","family":"Silva","sequence":"additional","affiliation":[{"name":"Postgraduate Program in Process Engineering, Federal University of Campina Grande, Campina Grande 58429-900, Brazil"}]},{"given":"Luis E. A.","family":"Santos","sequence":"additional","affiliation":[{"name":"Postgraduate Program in Process Engineering, Federal University of Campina Grande, Campina Grande 58429-900, Brazil"}]},{"given":"Glauco R. F.","family":"Brito","sequence":"additional","affiliation":[{"name":"Postgraduate Program in Process Engineering, Federal University of Campina Grande, Campina Grande 58429-900, Brazil"}]},{"given":"Wagner C. P. B.","family":"Lima","sequence":"additional","affiliation":[{"name":"Postgraduate Program in Process Engineering, Federal University of Campina Grande, Campina Grande 58429-900, Brazil"}]},{"given":"Norton L. T.","family":"Rafael","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Federal University of Campina Grande, Campina Grande 58429-900, Brazil"}]}],"member":"1968","published-online":{"date-parts":[[2024,8,28]]},"reference":[{"key":"ref_1","unstructured":"(2024, August 11). ANFACER\u2014Associa\u00e7\u00e3o Nacional dos Fabricantes de Cer\u00e2mica para Revestimentos, Lou\u00e7as Sanit\u00e1rias e Cong\u00eaneres. (In Portuguese)."},{"key":"ref_2","unstructured":"Callister, W.D., and Rethwisch, D.G. (2008). 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