Generalization of Thermal and Mass Fluxes for the Flow of Differential Type Fluid with Caputo–Fabrizio Approach of Fractional Derivative
In this research work, generalized thermal and mass transports for the unsteady flow model of an incompressible differential type fluid are considered. The Caputo–Fabrizio fractional derivative is used for the respective generalization of Fourier’s and Fick’s laws. A MHD fluid flow is considered nea...
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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/10.1155/2021/6052437 |
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| author | Asima Razzaque Anam Rani Mudassar Nazar |
| author_facet | Asima Razzaque Anam Rani Mudassar Nazar |
| author_sort | Asima Razzaque |
| collection | DOAJ |
| description | In this research work, generalized thermal and mass transports for the unsteady flow model of an incompressible differential type fluid are considered. The Caputo–Fabrizio fractional derivative is used for the respective generalization of Fourier’s and Fick’s laws. A MHD fluid flow is considered near a flat vertical surface subject to unsteady mechanical, thermal, and mass conditions at boundary. The governing equations of flow model are solved by integral transform, and closed form results for generalized momentum, thermal, and concentration fields are obtained. Generalized thermal and mass fluxes at boundary are quantified in terms of Nusselt and Sherwood numbers, respectively, and presented in tabular form. The significance of the physical parameters over the momentum, thermal, and concentration profiles is characterized by sketching the graphs. |
| format | Article |
| id | doaj-art-3ab1aadf126b4b4a9e7f68279fc5df6f |
| institution | OA Journals |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-3ab1aadf126b4b4a9e7f68279fc5df6f2025-08-20T02:07:48ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/60524376052437Generalization of Thermal and Mass Fluxes for the Flow of Differential Type Fluid with Caputo–Fabrizio Approach of Fractional DerivativeAsima Razzaque0Anam Rani1Mudassar Nazar2Department of Basic Science, Preparatory Year Deanship, King Faisal University Hofuf, Al Has, Hofuf, Saudi ArabiaDepartment of Basic Science, Preparatory Year Deanship, King Faisal University Hofuf, Al Has, Hofuf, Saudi ArabiaSchool of Mathematical Sciences, University of Science and Technology of China, Hefei, Anhui, ChinaIn this research work, generalized thermal and mass transports for the unsteady flow model of an incompressible differential type fluid are considered. The Caputo–Fabrizio fractional derivative is used for the respective generalization of Fourier’s and Fick’s laws. A MHD fluid flow is considered near a flat vertical surface subject to unsteady mechanical, thermal, and mass conditions at boundary. The governing equations of flow model are solved by integral transform, and closed form results for generalized momentum, thermal, and concentration fields are obtained. Generalized thermal and mass fluxes at boundary are quantified in terms of Nusselt and Sherwood numbers, respectively, and presented in tabular form. The significance of the physical parameters over the momentum, thermal, and concentration profiles is characterized by sketching the graphs.http://dx.doi.org/10.1155/2021/6052437 |
| spellingShingle | Asima Razzaque Anam Rani Mudassar Nazar Generalization of Thermal and Mass Fluxes for the Flow of Differential Type Fluid with Caputo–Fabrizio Approach of Fractional Derivative Complexity |
| title | Generalization of Thermal and Mass Fluxes for the Flow of Differential Type Fluid with Caputo–Fabrizio Approach of Fractional Derivative |
| title_full | Generalization of Thermal and Mass Fluxes for the Flow of Differential Type Fluid with Caputo–Fabrizio Approach of Fractional Derivative |
| title_fullStr | Generalization of Thermal and Mass Fluxes for the Flow of Differential Type Fluid with Caputo–Fabrizio Approach of Fractional Derivative |
| title_full_unstemmed | Generalization of Thermal and Mass Fluxes for the Flow of Differential Type Fluid with Caputo–Fabrizio Approach of Fractional Derivative |
| title_short | Generalization of Thermal and Mass Fluxes for the Flow of Differential Type Fluid with Caputo–Fabrizio Approach of Fractional Derivative |
| title_sort | generalization of thermal and mass fluxes for the flow of differential type fluid with caputo fabrizio approach of fractional derivative |
| url | http://dx.doi.org/10.1155/2021/6052437 |
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