A non-field analytical solution of the Luikov equations for simultaneous heat and mass transfer
Non-field solutions to the Luikov equations for simultaneous heat and mass transfer have been derived using the method of Kulish. These solutions provide simple-to-use formulae for estimating transient values of temperature and mass (moisture) content as functions of heat and mass fluxes. The approa...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-03-01
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| Series: | Results in Engineering |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2590123025006115 |
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| author | Vladimir Kulish Bui Thanh Phan Vladimír Horák |
| author_facet | Vladimir Kulish Bui Thanh Phan Vladimír Horák |
| author_sort | Vladimir Kulish |
| collection | DOAJ |
| description | Non-field solutions to the Luikov equations for simultaneous heat and mass transfer have been derived using the method of Kulish. These solutions provide simple-to-use formulae for estimating transient values of temperature and mass (moisture) content as functions of heat and mass fluxes. The approach simplifies the modelling process by bypassing complex boundary conditions and eigenvalue calculations. Validation was performed using two limiting cases of geometry – planar and spherical – under constant heat flux conditions. The results demonstrated good agreement with experimental data, underscoring the accuracy and practical applicability of the derived solutions for engineering purposes such as drying processes. |
| format | Article |
| id | doaj-art-07b4f73fdbd24b09bd5e83f89d7decc0 |
| institution | DOAJ |
| issn | 2590-1230 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Engineering |
| spelling | doaj-art-07b4f73fdbd24b09bd5e83f89d7decc02025-08-20T03:16:34ZengElsevierResults in Engineering2590-12302025-03-012510453410.1016/j.rineng.2025.104534A non-field analytical solution of the Luikov equations for simultaneous heat and mass transferVladimir Kulish0Bui Thanh Phan1Vladimír Horák2Department of Computer Science & Department of Mathematics, Faculty of Science, University of South Bohemia, Czech Republic; Corresponding author.Department of Mechanical Engineering, Faculty of Military Technology, University of Defence, Brno, Czech RepublicDepartment of Mechanical Engineering, Faculty of Military Technology, University of Defence, Brno, Czech RepublicNon-field solutions to the Luikov equations for simultaneous heat and mass transfer have been derived using the method of Kulish. These solutions provide simple-to-use formulae for estimating transient values of temperature and mass (moisture) content as functions of heat and mass fluxes. The approach simplifies the modelling process by bypassing complex boundary conditions and eigenvalue calculations. Validation was performed using two limiting cases of geometry – planar and spherical – under constant heat flux conditions. The results demonstrated good agreement with experimental data, underscoring the accuracy and practical applicability of the derived solutions for engineering purposes such as drying processes.http://www.sciencedirect.com/science/article/pii/S2590123025006115Luikov equationsSimultaneous heat and mass transferMethod of KulishFractional differ-integralsDrying processesAnalytical solutions |
| spellingShingle | Vladimir Kulish Bui Thanh Phan Vladimír Horák A non-field analytical solution of the Luikov equations for simultaneous heat and mass transfer Results in Engineering Luikov equations Simultaneous heat and mass transfer Method of Kulish Fractional differ-integrals Drying processes Analytical solutions |
| title | A non-field analytical solution of the Luikov equations for simultaneous heat and mass transfer |
| title_full | A non-field analytical solution of the Luikov equations for simultaneous heat and mass transfer |
| title_fullStr | A non-field analytical solution of the Luikov equations for simultaneous heat and mass transfer |
| title_full_unstemmed | A non-field analytical solution of the Luikov equations for simultaneous heat and mass transfer |
| title_short | A non-field analytical solution of the Luikov equations for simultaneous heat and mass transfer |
| title_sort | non field analytical solution of the luikov equations for simultaneous heat and mass transfer |
| topic | Luikov equations Simultaneous heat and mass transfer Method of Kulish Fractional differ-integrals Drying processes Analytical solutions |
| url | http://www.sciencedirect.com/science/article/pii/S2590123025006115 |
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