The Mathematical Modeling, Diffusivity, Energy, and Enviro-Economic Analysis (MD3E) of an Automatic Solar Dryer for Drying Date Fruits
<p dir="ltr">Date fruit drying is a process that consumes a significant amount of energy due to the long duration required for drying. To better understand how moisture flows through the fruit during drying and to speed up this process, drying studies must be conducted in conjunction...
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2024
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| _version_ | 1864513545016705024 |
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| author | Khaled A. Metwally (19852284) |
| author2 | Awad Ali Tayoush Oraiath (19852269) I. M. Elzein (19852272) Tamer M. El-Messery (18271602) Claude Nyambe (19864862) Mohamed Metwally Mahmoud (15213516) Mohamed Anwer Abdeen (20577461) Ahmad A. Telba (21398768) Usama Khaled (13496152) Abderrahmane Beroual (21398771) Abdallah Elshawadfy Elwakeel (19852263) |
| author2_role | author author author author author author author author author author |
| author_facet | Khaled A. Metwally (19852284) Awad Ali Tayoush Oraiath (19852269) I. M. Elzein (19852272) Tamer M. El-Messery (18271602) Claude Nyambe (19864862) Mohamed Metwally Mahmoud (15213516) Mohamed Anwer Abdeen (20577461) Ahmad A. Telba (21398768) Usama Khaled (13496152) Abderrahmane Beroual (21398771) Abdallah Elshawadfy Elwakeel (19852263) |
| author_role | author |
| dc.creator.none.fl_str_mv | Khaled A. Metwally (19852284) Awad Ali Tayoush Oraiath (19852269) I. M. Elzein (19852272) Tamer M. El-Messery (18271602) Claude Nyambe (19864862) Mohamed Metwally Mahmoud (15213516) Mohamed Anwer Abdeen (20577461) Ahmad A. Telba (21398768) Usama Khaled (13496152) Abderrahmane Beroual (21398771) Abdallah Elshawadfy Elwakeel (19852263) |
| dc.date.none.fl_str_mv | 2024-04-22T03:00:00Z |
| dc.identifier.none.fl_str_mv | 10.3390/su16083506 |
| dc.relation.none.fl_str_mv | https://figshare.com/articles/journal_contribution/The_Mathematical_Modeling_Diffusivity_Energy_and_Enviro-Economic_Analysis_MD3E_of_an_Automatic_Solar_Dryer_for_Drying_Date_Fruits/29117057 |
| dc.rights.none.fl_str_mv | CC BY 4.0 info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Agricultural, veterinary and food sciences Food sciences Economics Applied economics Engineering Chemical engineering Electrical engineering Environmental engineering Fluid mechanics and thermal engineering Mathematical sciences Applied mathematics Mathematical modeling Thin-layer drying kinetics Environmental analysis Economic analysis Energy analysis Solar drying |
| dc.title.none.fl_str_mv | The Mathematical Modeling, Diffusivity, Energy, and Enviro-Economic Analysis (MD3E) of an Automatic Solar Dryer for Drying Date Fruits |
| dc.type.none.fl_str_mv | Text Journal contribution info:eu-repo/semantics/publishedVersion text contribution to journal |
| description | <p dir="ltr">Date fruit drying is a process that consumes a significant amount of energy due to the long duration required for drying. To better understand how moisture flows through the fruit during drying and to speed up this process, drying studies must be conducted in conjunction with mathematical modeling, energy analysis, and environmental economic analysis. In this study, twelve thin-layer mathematical models were designed utilizing experimental data for three different date fruit varieties (Sakkoti, Malkabii, and Gondaila) and two solar drying systems (automated solar dryer and open-air dryer). These models were then validated using statistical analysis. The drying period for the date fruit varieties varied between 9 and 10 days for the automated solar dryer and 14 to 15 days for open-air drying. The moisture diffusivity coefficient values, determined using Fick’s second law of diffusion model, ranged from 7.14 × 10−12 m<sup>2</sup>/s to 2.17 × 10−11 m<sup>2</sup>/s. Among the twelve thin-layer mathematical models, we chose the best thin drying model based on a higher R<sup>2</sup> and lower χ<sup>2</sup> and RMSE. The Two-term and Modified Page III models delivered the best moisture ratio projections for date fruit dried in an open-air dryer. For date fruit dried in an automated solar dryer, the Two-term Exponential, Newton (Lewis), Approximation diffusion or Diffusion Method, and Two-term Exponential modeling provided the best moisture ratio projections. The energy and environmental study found that the particular amount of energy used varied from 17.936 to 22.746 kWh/kg, the energy payback time was 7.54 to 7.71 years, and the net CO<sub>2</sub> mitigation throughout the lifespan ranged from 8.55 to 8.80 tons. Furthermore, economic research showed that the automated solar dryer’s payback period would be 2.476 years.</p><h2>Other Information</h2><p dir="ltr">Published in: Sustainability<br>License: <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank">https://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.3390/su16083506" target="_blank">https://dx.doi.org/10.3390/su16083506</a></p> |
| eu_rights_str_mv | openAccess |
| id | Manara2_86b4ec5414953507b1b5f33b3d26f243 |
| identifier_str_mv | 10.3390/su16083506 |
| network_acronym_str | Manara2 |
| network_name_str | Manara2 |
| oai_identifier_str | oai:figshare.com:article/29117057 |
| publishDate | 2024 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | CC BY 4.0 |
| spelling | The Mathematical Modeling, Diffusivity, Energy, and Enviro-Economic Analysis (MD3E) of an Automatic Solar Dryer for Drying Date FruitsKhaled A. Metwally (19852284)Awad Ali Tayoush Oraiath (19852269)I. M. Elzein (19852272)Tamer M. El-Messery (18271602)Claude Nyambe (19864862)Mohamed Metwally Mahmoud (15213516)Mohamed Anwer Abdeen (20577461)Ahmad A. Telba (21398768)Usama Khaled (13496152)Abderrahmane Beroual (21398771)Abdallah Elshawadfy Elwakeel (19852263)Agricultural, veterinary and food sciencesFood sciencesEconomicsApplied economicsEngineeringChemical engineeringElectrical engineeringEnvironmental engineeringFluid mechanics and thermal engineeringMathematical sciencesApplied mathematicsMathematical modelingThin-layer drying kineticsEnvironmental analysisEconomic analysisEnergy analysisSolar drying<p dir="ltr">Date fruit drying is a process that consumes a significant amount of energy due to the long duration required for drying. To better understand how moisture flows through the fruit during drying and to speed up this process, drying studies must be conducted in conjunction with mathematical modeling, energy analysis, and environmental economic analysis. In this study, twelve thin-layer mathematical models were designed utilizing experimental data for three different date fruit varieties (Sakkoti, Malkabii, and Gondaila) and two solar drying systems (automated solar dryer and open-air dryer). These models were then validated using statistical analysis. The drying period for the date fruit varieties varied between 9 and 10 days for the automated solar dryer and 14 to 15 days for open-air drying. The moisture diffusivity coefficient values, determined using Fick’s second law of diffusion model, ranged from 7.14 × 10−12 m<sup>2</sup>/s to 2.17 × 10−11 m<sup>2</sup>/s. Among the twelve thin-layer mathematical models, we chose the best thin drying model based on a higher R<sup>2</sup> and lower χ<sup>2</sup> and RMSE. The Two-term and Modified Page III models delivered the best moisture ratio projections for date fruit dried in an open-air dryer. For date fruit dried in an automated solar dryer, the Two-term Exponential, Newton (Lewis), Approximation diffusion or Diffusion Method, and Two-term Exponential modeling provided the best moisture ratio projections. The energy and environmental study found that the particular amount of energy used varied from 17.936 to 22.746 kWh/kg, the energy payback time was 7.54 to 7.71 years, and the net CO<sub>2</sub> mitigation throughout the lifespan ranged from 8.55 to 8.80 tons. Furthermore, economic research showed that the automated solar dryer’s payback period would be 2.476 years.</p><h2>Other Information</h2><p dir="ltr">Published in: Sustainability<br>License: <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank">https://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.3390/su16083506" target="_blank">https://dx.doi.org/10.3390/su16083506</a></p>2024-04-22T03:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.3390/su16083506https://figshare.com/articles/journal_contribution/The_Mathematical_Modeling_Diffusivity_Energy_and_Enviro-Economic_Analysis_MD3E_of_an_Automatic_Solar_Dryer_for_Drying_Date_Fruits/29117057CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/291170572024-04-22T03:00:00Z |
| spellingShingle | The Mathematical Modeling, Diffusivity, Energy, and Enviro-Economic Analysis (MD3E) of an Automatic Solar Dryer for Drying Date Fruits Khaled A. Metwally (19852284) Agricultural, veterinary and food sciences Food sciences Economics Applied economics Engineering Chemical engineering Electrical engineering Environmental engineering Fluid mechanics and thermal engineering Mathematical sciences Applied mathematics Mathematical modeling Thin-layer drying kinetics Environmental analysis Economic analysis Energy analysis Solar drying |
| status_str | publishedVersion |
| title | The Mathematical Modeling, Diffusivity, Energy, and Enviro-Economic Analysis (MD3E) of an Automatic Solar Dryer for Drying Date Fruits |
| title_full | The Mathematical Modeling, Diffusivity, Energy, and Enviro-Economic Analysis (MD3E) of an Automatic Solar Dryer for Drying Date Fruits |
| title_fullStr | The Mathematical Modeling, Diffusivity, Energy, and Enviro-Economic Analysis (MD3E) of an Automatic Solar Dryer for Drying Date Fruits |
| title_full_unstemmed | The Mathematical Modeling, Diffusivity, Energy, and Enviro-Economic Analysis (MD3E) of an Automatic Solar Dryer for Drying Date Fruits |
| title_short | The Mathematical Modeling, Diffusivity, Energy, and Enviro-Economic Analysis (MD3E) of an Automatic Solar Dryer for Drying Date Fruits |
| title_sort | The Mathematical Modeling, Diffusivity, Energy, and Enviro-Economic Analysis (MD3E) of an Automatic Solar Dryer for Drying Date Fruits |
| topic | Agricultural, veterinary and food sciences Food sciences Economics Applied economics Engineering Chemical engineering Electrical engineering Environmental engineering Fluid mechanics and thermal engineering Mathematical sciences Applied mathematics Mathematical modeling Thin-layer drying kinetics Environmental analysis Economic analysis Energy analysis Solar drying |