On the Cattaneo–Christov Heat Flux Model and OHAM Analysis for Three Different Types of Nanofluids
In this article, the boundary layer flow of a viscous nanofluid induced by an exponentially stretching surface embedded in a permeable medium with the Cattaneo−Christov heat flux model (CCHFM) is scrutinized. We took three distinct kinds of nanoparticles, such as alumina (Al<sub>2<...
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MDPI AG
2020-01-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/10/3/886 |
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| author | Umair Khan Shafiq Ahmad Arsalan Hayyat Ilyas Khan Kottakkaran Sooppy Nisar Dumitru Baleanu |
| author_facet | Umair Khan Shafiq Ahmad Arsalan Hayyat Ilyas Khan Kottakkaran Sooppy Nisar Dumitru Baleanu |
| author_sort | Umair Khan |
| collection | DOAJ |
| description | In this article, the boundary layer flow of a viscous nanofluid induced by an exponentially stretching surface embedded in a permeable medium with the Cattaneo−Christov heat flux model (CCHFM) is scrutinized. We took three distinct kinds of nanoparticles, such as alumina (Al<sub>2</sub>O<sub>3</sub>), titania (TiO<sub>2</sub>) and copper (Cu) with pure water as the base fluid. The features of the heat transfer mechanism, as well as the influence of the relaxation parameter on the present viscous nanofluid flow are discussed here thoroughly. The thermal stratification is taken in this phenomenon. First of all, the problem is simplified mathematically by utilizing feasible similarity transformations and then solved analytically through the OHAM (optimal homotopy analysis method) to get accurate analytical solutions. The change in temperature distribution and axial velocity for the selected values of the specific parameters has been graphically portrayed in figures. An important fact is observed when the thermal relaxation parameter (TRP) is increased progressively. Graphically, it is found that an intensification in this parameter results in the exhaustion of the fluid temperature together with an enhancement in the heat transfer rate. A comparative discussion is also done over the Fourier’s law and Cattaneo−Christov model of heat. |
| first_indexed | 2024-04-12T07:40:37Z |
| format | Article |
| id | doaj.art-eb809f53a17f43f6bb0e66e993194e58 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-04-12T07:40:37Z |
| publishDate | 2020-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-eb809f53a17f43f6bb0e66e993194e582022-12-22T03:41:50ZengMDPI AGApplied Sciences2076-34172020-01-0110388610.3390/app10030886app10030886On the Cattaneo–Christov Heat Flux Model and OHAM Analysis for Three Different Types of NanofluidsUmair Khan0Shafiq Ahmad1Arsalan Hayyat2Ilyas Khan3Kottakkaran Sooppy Nisar4Dumitru Baleanu5Department of Mathematics and Social Sciences, Sukkur IBA University, Sukkur 65200, Sindh PakistanDepartment of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, PakistanDepartment of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, PakistanFaculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 72915, VietnamDepartment of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi ArabiaDepartment of Mathematics, Cankaya University, Ankara 06530, TurkeyIn this article, the boundary layer flow of a viscous nanofluid induced by an exponentially stretching surface embedded in a permeable medium with the Cattaneo−Christov heat flux model (CCHFM) is scrutinized. We took three distinct kinds of nanoparticles, such as alumina (Al<sub>2</sub>O<sub>3</sub>), titania (TiO<sub>2</sub>) and copper (Cu) with pure water as the base fluid. The features of the heat transfer mechanism, as well as the influence of the relaxation parameter on the present viscous nanofluid flow are discussed here thoroughly. The thermal stratification is taken in this phenomenon. First of all, the problem is simplified mathematically by utilizing feasible similarity transformations and then solved analytically through the OHAM (optimal homotopy analysis method) to get accurate analytical solutions. The change in temperature distribution and axial velocity for the selected values of the specific parameters has been graphically portrayed in figures. An important fact is observed when the thermal relaxation parameter (TRP) is increased progressively. Graphically, it is found that an intensification in this parameter results in the exhaustion of the fluid temperature together with an enhancement in the heat transfer rate. A comparative discussion is also done over the Fourier’s law and Cattaneo−Christov model of heat.https://www.mdpi.com/2076-3417/10/3/886cattaneo–christov heat fluxporous mediumexponentially stretching surfacenanoparticleoham method |
| spellingShingle | Umair Khan Shafiq Ahmad Arsalan Hayyat Ilyas Khan Kottakkaran Sooppy Nisar Dumitru Baleanu On the Cattaneo–Christov Heat Flux Model and OHAM Analysis for Three Different Types of Nanofluids Applied Sciences cattaneo–christov heat flux porous medium exponentially stretching surface nanoparticle oham method |
| title | On the Cattaneo–Christov Heat Flux Model and OHAM Analysis for Three Different Types of Nanofluids |
| title_full | On the Cattaneo–Christov Heat Flux Model and OHAM Analysis for Three Different Types of Nanofluids |
| title_fullStr | On the Cattaneo–Christov Heat Flux Model and OHAM Analysis for Three Different Types of Nanofluids |
| title_full_unstemmed | On the Cattaneo–Christov Heat Flux Model and OHAM Analysis for Three Different Types of Nanofluids |
| title_short | On the Cattaneo–Christov Heat Flux Model and OHAM Analysis for Three Different Types of Nanofluids |
| title_sort | on the cattaneo christov heat flux model and oham analysis for three different types of nanofluids |
| topic | cattaneo–christov heat flux porous medium exponentially stretching surface nanoparticle oham method |
| url | https://www.mdpi.com/2076-3417/10/3/886 |
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