Modelling Study on Internal Energy Loss Due to Entropy Generation for Non-Darcy Poiseuille Flow of Silver-Water Nanofluid: An Application of Purification
In this paper, an analytical study of internal energy losses for the non-Darcy Poiseuille flow of silver-water nanofluid due to entropy generation in porous media is investigated. Spherical-shaped silver (Ag) nanosize particles with volume fraction 0.3%, 0.6%, and 0.9% are utilized. Four illustrativ...
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| Format: | Article |
| Language: | English |
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MDPI AG
2018-11-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/20/11/851 |
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| author | Nasir Shehzad Ahmed Zeeshan Rahmat Ellahi Saman Rashidi |
| author_facet | Nasir Shehzad Ahmed Zeeshan Rahmat Ellahi Saman Rashidi |
| author_sort | Nasir Shehzad |
| collection | DOAJ |
| description | In this paper, an analytical study of internal energy losses for the non-Darcy Poiseuille flow of silver-water nanofluid due to entropy generation in porous media is investigated. Spherical-shaped silver (Ag) nanosize particles with volume fraction 0.3%, 0.6%, and 0.9% are utilized. Four illustrative models are considered: (i) heat transfer irreversibility (HTI), (ii) fluid friction irreversibility (FFI), (iii) Joule dissipation irreversibility (JDI), and (iv) non-Darcy porous media irreversibility (NDI). The governing equations of continuity, momentum, energy, and entropy generation are simplified by taking long wavelength approximations on the channel walls. The results represent highly nonlinear coupled ordinary differential equations that are solved analytically with the help of the homotopy analysis method. It is shown that for minimum and maximum averaged entropy generation, 0.3% by vol and 0.9% by vol of nanoparticles, respectively, are observed. Also, a rise in entropy is evident due to an increase in pressure gradient. The current analysis provides an adequate theoretical estimate for low-cost purification of drinking water by silver nanoparticles in an industrial process. |
| first_indexed | 2024-04-13T01:05:57Z |
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| id | doaj.art-cd91e76950da4d0eb3a667811d6754c1 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-13T01:05:57Z |
| publishDate | 2018-11-01 |
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| spelling | doaj.art-cd91e76950da4d0eb3a667811d6754c12022-12-22T03:09:21ZengMDPI AGEntropy1099-43002018-11-01201185110.3390/e20110851e20110851Modelling Study on Internal Energy Loss Due to Entropy Generation for Non-Darcy Poiseuille Flow of Silver-Water Nanofluid: An Application of PurificationNasir Shehzad0Ahmed Zeeshan1Rahmat Ellahi2Saman Rashidi3Department of Mathematics & Statistics, FBAS, IIUI, Islamabad 44000, PakistanDepartment of Mathematics & Statistics, FBAS, IIUI, Islamabad 44000, PakistanDepartment of Mathematics & Statistics, FBAS, IIUI, Islamabad 44000, PakistanDepartment of Mechanical Engineering, Ferdowsi University of Mashhad, Mashhad 91775-1111, IranIn this paper, an analytical study of internal energy losses for the non-Darcy Poiseuille flow of silver-water nanofluid due to entropy generation in porous media is investigated. Spherical-shaped silver (Ag) nanosize particles with volume fraction 0.3%, 0.6%, and 0.9% are utilized. Four illustrative models are considered: (i) heat transfer irreversibility (HTI), (ii) fluid friction irreversibility (FFI), (iii) Joule dissipation irreversibility (JDI), and (iv) non-Darcy porous media irreversibility (NDI). The governing equations of continuity, momentum, energy, and entropy generation are simplified by taking long wavelength approximations on the channel walls. The results represent highly nonlinear coupled ordinary differential equations that are solved analytically with the help of the homotopy analysis method. It is shown that for minimum and maximum averaged entropy generation, 0.3% by vol and 0.9% by vol of nanoparticles, respectively, are observed. Also, a rise in entropy is evident due to an increase in pressure gradient. The current analysis provides an adequate theoretical estimate for low-cost purification of drinking water by silver nanoparticles in an industrial process.https://www.mdpi.com/1099-4300/20/11/851energy losssilver-water nanofluidmagnetic fieldporous medianon-Darcy Poiseuille flow |
| spellingShingle | Nasir Shehzad Ahmed Zeeshan Rahmat Ellahi Saman Rashidi Modelling Study on Internal Energy Loss Due to Entropy Generation for Non-Darcy Poiseuille Flow of Silver-Water Nanofluid: An Application of Purification Entropy energy loss silver-water nanofluid magnetic field porous media non-Darcy Poiseuille flow |
| title | Modelling Study on Internal Energy Loss Due to Entropy Generation for Non-Darcy Poiseuille Flow of Silver-Water Nanofluid: An Application of Purification |
| title_full | Modelling Study on Internal Energy Loss Due to Entropy Generation for Non-Darcy Poiseuille Flow of Silver-Water Nanofluid: An Application of Purification |
| title_fullStr | Modelling Study on Internal Energy Loss Due to Entropy Generation for Non-Darcy Poiseuille Flow of Silver-Water Nanofluid: An Application of Purification |
| title_full_unstemmed | Modelling Study on Internal Energy Loss Due to Entropy Generation for Non-Darcy Poiseuille Flow of Silver-Water Nanofluid: An Application of Purification |
| title_short | Modelling Study on Internal Energy Loss Due to Entropy Generation for Non-Darcy Poiseuille Flow of Silver-Water Nanofluid: An Application of Purification |
| title_sort | modelling study on internal energy loss due to entropy generation for non darcy poiseuille flow of silver water nanofluid an application of purification |
| topic | energy loss silver-water nanofluid magnetic field porous media non-Darcy Poiseuille flow |
| url | https://www.mdpi.com/1099-4300/20/11/851 |
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