Homotopic Solution for 3D Darcy–Forchheimer Flow of Prandtl Fluid through Bidirectional Extending Surface with Cattaneo–Christov Heat and Mass Flux Model
The 3D Prandtl fluid flow through a bidirectional extending surface is analytically investigated. Cattaneo–Christov fluid model is employed to govern the heat and mass flux during fluid motion. The Prandtl fluid motion is mathematically modeled using the law of conservations of mass, momentum, and e...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/8204928 |
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| author | Shamaila Batool A. M. Alotaibi Waris Khan Ahmed Hussein Msmali null Ikramullah Wali Khan Mashwani |
| author_facet | Shamaila Batool A. M. Alotaibi Waris Khan Ahmed Hussein Msmali null Ikramullah Wali Khan Mashwani |
| author_sort | Shamaila Batool |
| collection | DOAJ |
| description | The 3D Prandtl fluid flow through a bidirectional extending surface is analytically investigated. Cattaneo–Christov fluid model is employed to govern the heat and mass flux during fluid motion. The Prandtl fluid motion is mathematically modeled using the law of conservations of mass, momentum, and energy. The set of coupled nonlinear PDEs is converted to ODEs by employing appropriate similarity relations. The system of coupled ODEs is analytically solved using the well-established mathematical technique of HAM. The impacts of various physical parameters over the fluid state variables are investigated by displaying their corresponding plots. The augmenting Prandtl parameter enhances the fluid velocity and reduces the temperature and concentration of the fluid. The momentum boundary layer boosts while the thermal boundary layer mitigates with the rising elastic parameter (α2) strength. Furthermore, the enhancing thermal relaxation parameter (γe)) reduces the temperature distribution, whereas the augmenting concentration parameter (γc) drops the strength of the concentration profile. The increasing Prandtl parameter declines the fluid temperature while the augmenting Schmidt number drops the fluid concentration. The comparison of the HAM technique with the numerical solution shows an excellent agreement and hence ascertains the accuracy of the applied analytical technique. This work finds applications in numerous fields involving the flow of non-Newtonian fluids. |
| format | Article |
| id | doaj-art-4ae3ddd3b8a54586afdbfc3bc519b765 |
| institution | Kabale University |
| issn | 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-4ae3ddd3b8a54586afdbfc3bc519b7652025-02-03T07:24:08ZengWileyComplexity1099-05262021-01-01202110.1155/2021/8204928Homotopic Solution for 3D Darcy–Forchheimer Flow of Prandtl Fluid through Bidirectional Extending Surface with Cattaneo–Christov Heat and Mass Flux ModelShamaila Batool0A. M. Alotaibi1Waris Khan2Ahmed Hussein Msmali3null Ikramullah4Wali Khan Mashwani5Institute of Numerical SciencesDepartment of MathematicsDepartment of Mathematics and StatisticsDepartment of MathematicsDepartment of PhysicsInstitute of Numerical SciencesThe 3D Prandtl fluid flow through a bidirectional extending surface is analytically investigated. Cattaneo–Christov fluid model is employed to govern the heat and mass flux during fluid motion. The Prandtl fluid motion is mathematically modeled using the law of conservations of mass, momentum, and energy. The set of coupled nonlinear PDEs is converted to ODEs by employing appropriate similarity relations. The system of coupled ODEs is analytically solved using the well-established mathematical technique of HAM. The impacts of various physical parameters over the fluid state variables are investigated by displaying their corresponding plots. The augmenting Prandtl parameter enhances the fluid velocity and reduces the temperature and concentration of the fluid. The momentum boundary layer boosts while the thermal boundary layer mitigates with the rising elastic parameter (α2) strength. Furthermore, the enhancing thermal relaxation parameter (γe)) reduces the temperature distribution, whereas the augmenting concentration parameter (γc) drops the strength of the concentration profile. The increasing Prandtl parameter declines the fluid temperature while the augmenting Schmidt number drops the fluid concentration. The comparison of the HAM technique with the numerical solution shows an excellent agreement and hence ascertains the accuracy of the applied analytical technique. This work finds applications in numerous fields involving the flow of non-Newtonian fluids.http://dx.doi.org/10.1155/2021/8204928 |
| spellingShingle | Shamaila Batool A. M. Alotaibi Waris Khan Ahmed Hussein Msmali null Ikramullah Wali Khan Mashwani Homotopic Solution for 3D Darcy–Forchheimer Flow of Prandtl Fluid through Bidirectional Extending Surface with Cattaneo–Christov Heat and Mass Flux Model Complexity |
| title | Homotopic Solution for 3D Darcy–Forchheimer Flow of Prandtl Fluid through Bidirectional Extending Surface with Cattaneo–Christov Heat and Mass Flux Model |
| title_full | Homotopic Solution for 3D Darcy–Forchheimer Flow of Prandtl Fluid through Bidirectional Extending Surface with Cattaneo–Christov Heat and Mass Flux Model |
| title_fullStr | Homotopic Solution for 3D Darcy–Forchheimer Flow of Prandtl Fluid through Bidirectional Extending Surface with Cattaneo–Christov Heat and Mass Flux Model |
| title_full_unstemmed | Homotopic Solution for 3D Darcy–Forchheimer Flow of Prandtl Fluid through Bidirectional Extending Surface with Cattaneo–Christov Heat and Mass Flux Model |
| title_short | Homotopic Solution for 3D Darcy–Forchheimer Flow of Prandtl Fluid through Bidirectional Extending Surface with Cattaneo–Christov Heat and Mass Flux Model |
| title_sort | homotopic solution for 3d darcy forchheimer flow of prandtl fluid through bidirectional extending surface with cattaneo christov heat and mass flux model |
| url | http://dx.doi.org/10.1155/2021/8204928 |
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