Heat transfer analysis of fractional model of couple stress Casson tri-hybrid nanofluid using dissimilar shape nanoparticles in blood with biomedical applications
Abstract During last decades the research of nanofluid is of great interest all over the World, particularly because of its thermal applications in engineering, and biological sciences. Although nanofluid performance is well appreciate and showed good results in the heat transport phenomena, to furt...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2023-03-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-022-25127-z |
| _version_ | 1797811555048357888 |
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| author | Muhammad Arif Luca Di Persio Poom Kumam Wiboonsak Watthayu Ali Akgül |
| author_facet | Muhammad Arif Luca Di Persio Poom Kumam Wiboonsak Watthayu Ali Akgül |
| author_sort | Muhammad Arif |
| collection | DOAJ |
| description | Abstract During last decades the research of nanofluid is of great interest all over the World, particularly because of its thermal applications in engineering, and biological sciences. Although nanofluid performance is well appreciate and showed good results in the heat transport phenomena, to further improve conventional base fluids thermal performance an increasing number of researchers have started considering structured nanoparticles suspension in one base fluid. As to make an example, when considering the suspension of three different nanoparticles in a single base fluid we have the so called “ternary hybrid nanofluid”. In the present study three different shaped nanoparticles are uniformly dispersed in blood. In particular, the three different shaped nanoparticles are spherical shaped ferric oxide $$\text{Fe}_{3} \text{O}_{4}$$ Fe 3 O 4 , platelet shaped zinc $$\left( \text{Zn} \right)$$ Zn , and cylindrical shaped gold $$\left( \text{Au} \right)$$ Au , which are considered in blood base fluid because of related advance pharmaceutical applications. Accordingly, we focused our attention on the sharp evaluation of heat transfer for the unsteady couple stress Casson tri-hybrid nanofluid flow in channel. In particular, we formulated the problem via momentum and energy equations in terms of partial differential equations equipped with realistic physical initial and boundary conditions. Moreover, we transformed classical model into their fractional counterparts by applying the Atangana–Baleanu time-fractional operator. Solutions to velocity and temperature equations have been obtained by using both the Laplace and the Fourier transforms, while the effect of physical parameters on velocity and temperature profiles, have been graphically analyzed exploiting MATHCAD. In particular, latter study clearly shows that for higher values of volume fraction $$\phi_{hnf}$$ ϕ hnf of the nanoparticles the fluid velocity declines, while the temperature rises for the higher values of volume fraction $$\phi_{hnf}$$ ϕ hnf of the nanoparticles. Using blood-based ternary hybrid nanofluid enhances the rate of heat transfer up-to 8.05%, spherical shaped $$\text{Fe}_{3} \text{O}_{4}$$ Fe 3 O 4 enhances up-to 4.63%, platelet shaped $$\left( \text{Zn} \right)$$ Zn nanoparticles enhances up-to 8.984% and cylindrical shaped gold $$\left( \text{Au} \right)$$ Au nanoparticles enhances up-to 10.407%. |
| first_indexed | 2024-03-13T07:25:28Z |
| format | Article |
| id | doaj.art-872c8d23dcc14710935dcb4dfac25588 |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-03-13T07:25:28Z |
| publishDate | 2023-03-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-872c8d23dcc14710935dcb4dfac255882023-06-04T11:25:42ZengNature PortfolioScientific Reports2045-23222023-03-0113112110.1038/s41598-022-25127-zHeat transfer analysis of fractional model of couple stress Casson tri-hybrid nanofluid using dissimilar shape nanoparticles in blood with biomedical applicationsMuhammad Arif0Luca Di Persio1Poom Kumam2Wiboonsak Watthayu3Ali Akgül4Fixed Point Research Laboratory, Fixed Point Theory and Applications Research Group, Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT)Department of Computer Science, College of Mathematics, University of VeronaFixed Point Research Laboratory, Fixed Point Theory and Applications Research Group, Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT)Fixed Point Research Laboratory, Fixed Point Theory and Applications Research Group, Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT)Department of Mathematics, Faculty of Arts and Sciences, Siirt UniversityAbstract During last decades the research of nanofluid is of great interest all over the World, particularly because of its thermal applications in engineering, and biological sciences. Although nanofluid performance is well appreciate and showed good results in the heat transport phenomena, to further improve conventional base fluids thermal performance an increasing number of researchers have started considering structured nanoparticles suspension in one base fluid. As to make an example, when considering the suspension of three different nanoparticles in a single base fluid we have the so called “ternary hybrid nanofluid”. In the present study three different shaped nanoparticles are uniformly dispersed in blood. In particular, the three different shaped nanoparticles are spherical shaped ferric oxide $$\text{Fe}_{3} \text{O}_{4}$$ Fe 3 O 4 , platelet shaped zinc $$\left( \text{Zn} \right)$$ Zn , and cylindrical shaped gold $$\left( \text{Au} \right)$$ Au , which are considered in blood base fluid because of related advance pharmaceutical applications. Accordingly, we focused our attention on the sharp evaluation of heat transfer for the unsteady couple stress Casson tri-hybrid nanofluid flow in channel. In particular, we formulated the problem via momentum and energy equations in terms of partial differential equations equipped with realistic physical initial and boundary conditions. Moreover, we transformed classical model into their fractional counterparts by applying the Atangana–Baleanu time-fractional operator. Solutions to velocity and temperature equations have been obtained by using both the Laplace and the Fourier transforms, while the effect of physical parameters on velocity and temperature profiles, have been graphically analyzed exploiting MATHCAD. In particular, latter study clearly shows that for higher values of volume fraction $$\phi_{hnf}$$ ϕ hnf of the nanoparticles the fluid velocity declines, while the temperature rises for the higher values of volume fraction $$\phi_{hnf}$$ ϕ hnf of the nanoparticles. Using blood-based ternary hybrid nanofluid enhances the rate of heat transfer up-to 8.05%, spherical shaped $$\text{Fe}_{3} \text{O}_{4}$$ Fe 3 O 4 enhances up-to 4.63%, platelet shaped $$\left( \text{Zn} \right)$$ Zn nanoparticles enhances up-to 8.984% and cylindrical shaped gold $$\left( \text{Au} \right)$$ Au nanoparticles enhances up-to 10.407%.https://doi.org/10.1038/s41598-022-25127-z |
| spellingShingle | Muhammad Arif Luca Di Persio Poom Kumam Wiboonsak Watthayu Ali Akgül Heat transfer analysis of fractional model of couple stress Casson tri-hybrid nanofluid using dissimilar shape nanoparticles in blood with biomedical applications Scientific Reports |
| title | Heat transfer analysis of fractional model of couple stress Casson tri-hybrid nanofluid using dissimilar shape nanoparticles in blood with biomedical applications |
| title_full | Heat transfer analysis of fractional model of couple stress Casson tri-hybrid nanofluid using dissimilar shape nanoparticles in blood with biomedical applications |
| title_fullStr | Heat transfer analysis of fractional model of couple stress Casson tri-hybrid nanofluid using dissimilar shape nanoparticles in blood with biomedical applications |
| title_full_unstemmed | Heat transfer analysis of fractional model of couple stress Casson tri-hybrid nanofluid using dissimilar shape nanoparticles in blood with biomedical applications |
| title_short | Heat transfer analysis of fractional model of couple stress Casson tri-hybrid nanofluid using dissimilar shape nanoparticles in blood with biomedical applications |
| title_sort | heat transfer analysis of fractional model of couple stress casson tri hybrid nanofluid using dissimilar shape nanoparticles in blood with biomedical applications |
| url | https://doi.org/10.1038/s41598-022-25127-z |
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