Heat and Mass Transfer Analysis of MHD Jeffrey Fluid over a Vertical Plate with CPC Fractional Derivative
Free convection flow of non-Newtonian fluids over flat, heated surfaces is an important natural phenomenon that also occurs in human-made engineering processes under various physical and mechanical situations. In the current study, the free convection magnetohydrodynamic flow of Jeffrey fluid with h...
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MDPI AG
2022-11-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/14/12/2491 |
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| author | Shajar Abbas Mudassar Nazar Zaib Un Nisa Muhammad Amjad Sayed M. El Din Agaeb Mahal Alanzi |
| author_facet | Shajar Abbas Mudassar Nazar Zaib Un Nisa Muhammad Amjad Sayed M. El Din Agaeb Mahal Alanzi |
| author_sort | Shajar Abbas |
| collection | DOAJ |
| description | Free convection flow of non-Newtonian fluids over flat, heated surfaces is an important natural phenomenon that also occurs in human-made engineering processes under various physical and mechanical situations. In the current study, the free convection magnetohydrodynamic flow of Jeffrey fluid with heat and mass transfer over an infinite vertical plate is examined. Mathematical modeling is performed using Fourier’s and Fick’s laws, and heat and momentum equations have been obtained. The non-dimensional partial differential equations for energy, mass, and velocity fields are determined using the Laplace transform method in a symmetric manner. Later on, the Laplace transform method is employed to evaluate the results for the temperature, concentration, and velocity fields with the support of Mathcad software. The governing equations, as well as the initial and boundary conditions, satisfy these results. The impacts of fractional and physical characteristics have been shown by graphical illustrations. The obtained fractionalized results are generalized by a more decaying nature. By taking the fractional parameter <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>β</mi><mo>,</mo><mi>γ</mi><mo>→</mo><mn>1</mn></mrow></semantics></math></inline-formula>, the classical results with the ordinary derivatives are also recovered, making this a good direction for symmetry analysis. The present work also has applications with engineering relevance, such as heating and cooling processes in nuclear reactors, the petrochemical sector, and hydraulic apparatus where the heat transfers through a flat surface. Moreover, the magnetized fluid is also applicable for controlling flow velocity fluctuations. |
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| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T09:44:25Z |
| publishDate | 2022-11-01 |
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| series | Symmetry |
| spelling | doaj.art-24958f58945049ce99c68d9d447370de2023-12-02T00:39:37ZengMDPI AGSymmetry2073-89942022-11-011412249110.3390/sym14122491Heat and Mass Transfer Analysis of MHD Jeffrey Fluid over a Vertical Plate with CPC Fractional DerivativeShajar Abbas0Mudassar Nazar1Zaib Un Nisa2Muhammad Amjad3Sayed M. El Din4Agaeb Mahal Alanzi5Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60000, PakistanCentre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60000, PakistanDepartment of Mathematics, Institute of Southern Punjab, Multan 60000, PakistanDepartement of Mathematics, Comsats University Islamabad, Vehari Campus, Vehari 61100, PakistanCenter of Research, Faculty of Engineering, Future University in Egypt, New Cairo 11835, EgyptDepartment of Mathematics, College of Science and Arts, Qassim University, Al-Badaya 51951, Saudi ArabiaFree convection flow of non-Newtonian fluids over flat, heated surfaces is an important natural phenomenon that also occurs in human-made engineering processes under various physical and mechanical situations. In the current study, the free convection magnetohydrodynamic flow of Jeffrey fluid with heat and mass transfer over an infinite vertical plate is examined. Mathematical modeling is performed using Fourier’s and Fick’s laws, and heat and momentum equations have been obtained. The non-dimensional partial differential equations for energy, mass, and velocity fields are determined using the Laplace transform method in a symmetric manner. Later on, the Laplace transform method is employed to evaluate the results for the temperature, concentration, and velocity fields with the support of Mathcad software. The governing equations, as well as the initial and boundary conditions, satisfy these results. The impacts of fractional and physical characteristics have been shown by graphical illustrations. The obtained fractionalized results are generalized by a more decaying nature. By taking the fractional parameter <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>β</mi><mo>,</mo><mi>γ</mi><mo>→</mo><mn>1</mn></mrow></semantics></math></inline-formula>, the classical results with the ordinary derivatives are also recovered, making this a good direction for symmetry analysis. The present work also has applications with engineering relevance, such as heating and cooling processes in nuclear reactors, the petrochemical sector, and hydraulic apparatus where the heat transfers through a flat surface. Moreover, the magnetized fluid is also applicable for controlling flow velocity fluctuations.https://www.mdpi.com/2073-8994/14/12/2491fractional Jeffrey fluidMHD flowconstant proportional Caputo fractional derivativeslip conditionLaplace transform |
| spellingShingle | Shajar Abbas Mudassar Nazar Zaib Un Nisa Muhammad Amjad Sayed M. El Din Agaeb Mahal Alanzi Heat and Mass Transfer Analysis of MHD Jeffrey Fluid over a Vertical Plate with CPC Fractional Derivative Symmetry fractional Jeffrey fluid MHD flow constant proportional Caputo fractional derivative slip condition Laplace transform |
| title | Heat and Mass Transfer Analysis of MHD Jeffrey Fluid over a Vertical Plate with CPC Fractional Derivative |
| title_full | Heat and Mass Transfer Analysis of MHD Jeffrey Fluid over a Vertical Plate with CPC Fractional Derivative |
| title_fullStr | Heat and Mass Transfer Analysis of MHD Jeffrey Fluid over a Vertical Plate with CPC Fractional Derivative |
| title_full_unstemmed | Heat and Mass Transfer Analysis of MHD Jeffrey Fluid over a Vertical Plate with CPC Fractional Derivative |
| title_short | Heat and Mass Transfer Analysis of MHD Jeffrey Fluid over a Vertical Plate with CPC Fractional Derivative |
| title_sort | heat and mass transfer analysis of mhd jeffrey fluid over a vertical plate with cpc fractional derivative |
| topic | fractional Jeffrey fluid MHD flow constant proportional Caputo fractional derivative slip condition Laplace transform |
| url | https://www.mdpi.com/2073-8994/14/12/2491 |
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