A time fractional model of Brinkman-type nanofluid with ramped wall temperature and concentration
Nanofluid is an innovative heat transfer fluid with the potential to significantly enhance the heat transfer performance of traditional fluids. By adding various types of nanoparticles to ordinary base fluids, several attempts have been made to boost the rate of heat transfer and thermal conductivit...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SAGE Publishing
2022-05-01
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| Series: | Advances in Mechanical Engineering |
| Online Access: | https://doi.org/10.1177/16878132221096012 |
| _version_ | 1811233626982973440 |
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| author | Faiza Hasin Zubair Ahmad Farhad Ali Naveed Khan Ilyas Khan |
| author_facet | Faiza Hasin Zubair Ahmad Farhad Ali Naveed Khan Ilyas Khan |
| author_sort | Faiza Hasin |
| collection | DOAJ |
| description | Nanofluid is an innovative heat transfer fluid with the potential to significantly enhance the heat transfer performance of traditional fluids. By adding various types of nanoparticles to ordinary base fluids, several attempts have been made to boost the rate of heat transfer and thermal conductivity. The unsteady electrically conducting flow of Brinkman-type nanofluid over an infinite vertical plate with ramping wall temperature and concentration is investigated in this article. Water is taken as the base fluid, and multi-walled carbon nanotubes are distributed equally throughout it. The Caputo-Fabrizio fractional derivative, which has a non-singular kernel, is used to generalize the classical model. The Laplace transform technique has been utilized to achieve exact solutions. Furthermore, various graphs for fractional and physical parameters are used to represent the solutions. All figures are drawn for both conditions, that is, ramped and isothermal wall temperature and concentration. The velocity field increases for greater values of thermal and mass Grashof numbers while the reverse effect is observed for Hartman number, Brinkman parameter and volume fraction. Moreover, the obtained results are also reduced to the already published results in order to show the validation of the present results. The results are used to calculate the skin friction, Nusselt number, and Sherwood number. The heat transfer of pure water is increased by 17.03% when 4% of nanoparticles are added to it which will of course increase the efficiency of solar collectors and solar pools. Moreover, the mass transfer decreases by 3.18% when 4% of nanoparticles which are dispersed in it. |
| first_indexed | 2024-04-12T11:22:51Z |
| format | Article |
| id | doaj.art-090b6fef8ac74342b3a550b077474db5 |
| institution | Directory Open Access Journal |
| issn | 1687-8140 |
| language | English |
| last_indexed | 2024-04-12T11:22:51Z |
| publishDate | 2022-05-01 |
| publisher | SAGE Publishing |
| record_format | Article |
| series | Advances in Mechanical Engineering |
| spelling | doaj.art-090b6fef8ac74342b3a550b077474db52022-12-22T03:35:17ZengSAGE PublishingAdvances in Mechanical Engineering1687-81402022-05-011410.1177/16878132221096012A time fractional model of Brinkman-type nanofluid with ramped wall temperature and concentrationFaiza Hasin0Zubair Ahmad1Farhad Ali2Naveed Khan3Ilyas Khan4Department of Mathematics, City University of Science and Information Technology, Peshawar, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, City University of Science and Information Technology, Peshawar, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, City University of Science and Information Technology, Peshawar, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, City University of Science and Information Technology, Peshawar, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah, Saudi ArabiaNanofluid is an innovative heat transfer fluid with the potential to significantly enhance the heat transfer performance of traditional fluids. By adding various types of nanoparticles to ordinary base fluids, several attempts have been made to boost the rate of heat transfer and thermal conductivity. The unsteady electrically conducting flow of Brinkman-type nanofluid over an infinite vertical plate with ramping wall temperature and concentration is investigated in this article. Water is taken as the base fluid, and multi-walled carbon nanotubes are distributed equally throughout it. The Caputo-Fabrizio fractional derivative, which has a non-singular kernel, is used to generalize the classical model. The Laplace transform technique has been utilized to achieve exact solutions. Furthermore, various graphs for fractional and physical parameters are used to represent the solutions. All figures are drawn for both conditions, that is, ramped and isothermal wall temperature and concentration. The velocity field increases for greater values of thermal and mass Grashof numbers while the reverse effect is observed for Hartman number, Brinkman parameter and volume fraction. Moreover, the obtained results are also reduced to the already published results in order to show the validation of the present results. The results are used to calculate the skin friction, Nusselt number, and Sherwood number. The heat transfer of pure water is increased by 17.03% when 4% of nanoparticles are added to it which will of course increase the efficiency of solar collectors and solar pools. Moreover, the mass transfer decreases by 3.18% when 4% of nanoparticles which are dispersed in it.https://doi.org/10.1177/16878132221096012 |
| spellingShingle | Faiza Hasin Zubair Ahmad Farhad Ali Naveed Khan Ilyas Khan A time fractional model of Brinkman-type nanofluid with ramped wall temperature and concentration Advances in Mechanical Engineering |
| title | A time fractional model of Brinkman-type nanofluid with ramped wall temperature and concentration |
| title_full | A time fractional model of Brinkman-type nanofluid with ramped wall temperature and concentration |
| title_fullStr | A time fractional model of Brinkman-type nanofluid with ramped wall temperature and concentration |
| title_full_unstemmed | A time fractional model of Brinkman-type nanofluid with ramped wall temperature and concentration |
| title_short | A time fractional model of Brinkman-type nanofluid with ramped wall temperature and concentration |
| title_sort | time fractional model of brinkman type nanofluid with ramped wall temperature and concentration |
| url | https://doi.org/10.1177/16878132221096012 |
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