Role of Nanoparticles and Heat Source/Sink on MHD Flow of Cu-H<sub>2</sub>O Nanofluid Flow Past a Vertical Plate with Soret and Dufour Effects
The study is devoted to investigating the effect of an unsteady non-Newtonian Casson fluid over a vertical plate. A mathematical analysis is presented for a Casson fluid by taking into consideration Soret and Dufour effects, heat generation, heat radiation, and chemical reaction. The novelty of the...
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MDPI AG
2022-11-01
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| Series: | Mathematical and Computational Applications |
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| Online Access: | https://www.mdpi.com/2297-8747/27/6/102 |
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| author | Ramesh Kune Hari Singh Naik Borra Shashidar Reddy Christophe Chesneau |
| author_facet | Ramesh Kune Hari Singh Naik Borra Shashidar Reddy Christophe Chesneau |
| author_sort | Ramesh Kune |
| collection | DOAJ |
| description | The study is devoted to investigating the effect of an unsteady non-Newtonian Casson fluid over a vertical plate. A mathematical analysis is presented for a Casson fluid by taking into consideration Soret and Dufour effects, heat generation, heat radiation, and chemical reaction. The novelty of the problem is the physical interpretation of Casson fluid before and after adding copper water-based nanoparticles to the governing flow. It is found that velocity was decreased and the temperature profile was enhanced. A similarity transformation is used to convert the linked partial differential equations that control flow into non-linear coupled ordinary differential equations. The momentum, energy, and concentration formulations are cracked by means of the finite element method. The thermal and solute layer thickness growth is due to the nanoparticles’ thermo-diffusion. The effects of relevant parameters such as the Casson fluid parameter, radiation, Soret and Dufour effects, chemical reaction, and Prandtl number are discussed. A correlation of the average Nusselt number and Sherwood number corresponding to active parameters is presented. It can be noticed that increasing the Dufour number leads to an uplift in heat transfer. Fluid velocity increases with Grashof number and decreases with magnetic effect. The impact of heat sources and radiation is to increase the thermal conductivity. Concentration decreases with the Schmidt number. |
| first_indexed | 2024-03-09T16:08:36Z |
| format | Article |
| id | doaj.art-f545924c2951475289c882e5d1bf5c92 |
| institution | Directory Open Access Journal |
| issn | 1300-686X 2297-8747 |
| language | English |
| last_indexed | 2024-03-09T16:08:36Z |
| publishDate | 2022-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematical and Computational Applications |
| spelling | doaj.art-f545924c2951475289c882e5d1bf5c922023-11-24T16:30:54ZengMDPI AGMathematical and Computational Applications1300-686X2297-87472022-11-0127610210.3390/mca27060102Role of Nanoparticles and Heat Source/Sink on MHD Flow of Cu-H<sub>2</sub>O Nanofluid Flow Past a Vertical Plate with Soret and Dufour EffectsRamesh Kune0Hari Singh Naik1Borra Shashidar Reddy2Christophe Chesneau3Sreenidhi Institute of Science and Technology, Ghatkesar, Hyderabad 501301, IndiaDepartment of Mathematics, Osmania University, Hyderabad 500007, IndiaSreenidhi Institute of Science and Technology, Ghatkesar, Hyderabad 501301, IndiaDepartment of Mathematics, University of Caen-Normandy, 14000 Caen, FranceThe study is devoted to investigating the effect of an unsteady non-Newtonian Casson fluid over a vertical plate. A mathematical analysis is presented for a Casson fluid by taking into consideration Soret and Dufour effects, heat generation, heat radiation, and chemical reaction. The novelty of the problem is the physical interpretation of Casson fluid before and after adding copper water-based nanoparticles to the governing flow. It is found that velocity was decreased and the temperature profile was enhanced. A similarity transformation is used to convert the linked partial differential equations that control flow into non-linear coupled ordinary differential equations. The momentum, energy, and concentration formulations are cracked by means of the finite element method. The thermal and solute layer thickness growth is due to the nanoparticles’ thermo-diffusion. The effects of relevant parameters such as the Casson fluid parameter, radiation, Soret and Dufour effects, chemical reaction, and Prandtl number are discussed. A correlation of the average Nusselt number and Sherwood number corresponding to active parameters is presented. It can be noticed that increasing the Dufour number leads to an uplift in heat transfer. Fluid velocity increases with Grashof number and decreases with magnetic effect. The impact of heat sources and radiation is to increase the thermal conductivity. Concentration decreases with the Schmidt number.https://www.mdpi.com/2297-8747/27/6/102Casson nanofluidcopper nanoparticleSoret and Dufour effectschemical reaction |
| spellingShingle | Ramesh Kune Hari Singh Naik Borra Shashidar Reddy Christophe Chesneau Role of Nanoparticles and Heat Source/Sink on MHD Flow of Cu-H<sub>2</sub>O Nanofluid Flow Past a Vertical Plate with Soret and Dufour Effects Mathematical and Computational Applications Casson nanofluid copper nanoparticle Soret and Dufour effects chemical reaction |
| title | Role of Nanoparticles and Heat Source/Sink on MHD Flow of Cu-H<sub>2</sub>O Nanofluid Flow Past a Vertical Plate with Soret and Dufour Effects |
| title_full | Role of Nanoparticles and Heat Source/Sink on MHD Flow of Cu-H<sub>2</sub>O Nanofluid Flow Past a Vertical Plate with Soret and Dufour Effects |
| title_fullStr | Role of Nanoparticles and Heat Source/Sink on MHD Flow of Cu-H<sub>2</sub>O Nanofluid Flow Past a Vertical Plate with Soret and Dufour Effects |
| title_full_unstemmed | Role of Nanoparticles and Heat Source/Sink on MHD Flow of Cu-H<sub>2</sub>O Nanofluid Flow Past a Vertical Plate with Soret and Dufour Effects |
| title_short | Role of Nanoparticles and Heat Source/Sink on MHD Flow of Cu-H<sub>2</sub>O Nanofluid Flow Past a Vertical Plate with Soret and Dufour Effects |
| title_sort | role of nanoparticles and heat source sink on mhd flow of cu h sub 2 sub o nanofluid flow past a vertical plate with soret and dufour effects |
| topic | Casson nanofluid copper nanoparticle Soret and Dufour effects chemical reaction |
| url | https://www.mdpi.com/2297-8747/27/6/102 |
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