Caputo fractional MHD casson fluid flow over an oscillating plate with thermal radiation
The effect of the thermal radiation on the MHD Casson fluid along with the fractional derivative in an oscillating vertical plate is elucidated. More exactly, the Caputo fractional model is utilized in developing the governing equations. Besides, the influence of the buoyancy force due to the temper...
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Format: | Article |
Language: | English |
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Penerbit Akademia Baru
2021
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Online Access: | http://eprints.utm.my/95059/1/RidhwanReyaz2021_CaputoFractionalMHDCasson.pdf |
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author | Reyaz, R. Lim, Y. J. Mohamad, A. Q. Saqib, M. Shafie, S. |
author_facet | Reyaz, R. Lim, Y. J. Mohamad, A. Q. Saqib, M. Shafie, S. |
author_sort | Reyaz, R. |
collection | ePrints |
description | The effect of the thermal radiation on the MHD Casson fluid along with the fractional derivative in an oscillating vertical plate is elucidated. More exactly, the Caputo fractional model is utilized in developing the governing equations. Besides, the influence of the buoyancy force due to the temperature gradient has also been considered. The derived fractional partial differential equations are converted into ordinary differential equations by using the Laplace transform technique and then are solved for analytical solutions via the characteristic method. The inversion of the Laplace transformation is obtained through the numerical approach of Zakian. The effects of various physical parameters on the velocity and temperature profiles, Nusselt number, and skin friction have been analyzed and depicted in graphs and tables. The distribution of the velocity and temperature either in viscous or Casson fluid do enhance by the fractional parameter. |
first_indexed | 2024-03-05T21:04:48Z |
format | Article |
id | utm.eprints-95059 |
institution | Universiti Teknologi Malaysia - ePrints |
language | English |
last_indexed | 2024-03-05T21:04:48Z |
publishDate | 2021 |
publisher | Penerbit Akademia Baru |
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spelling | utm.eprints-950592022-04-29T22:02:00Z http://eprints.utm.my/95059/ Caputo fractional MHD casson fluid flow over an oscillating plate with thermal radiation Reyaz, R. Lim, Y. J. Mohamad, A. Q. Saqib, M. Shafie, S. QA Mathematics The effect of the thermal radiation on the MHD Casson fluid along with the fractional derivative in an oscillating vertical plate is elucidated. More exactly, the Caputo fractional model is utilized in developing the governing equations. Besides, the influence of the buoyancy force due to the temperature gradient has also been considered. The derived fractional partial differential equations are converted into ordinary differential equations by using the Laplace transform technique and then are solved for analytical solutions via the characteristic method. The inversion of the Laplace transformation is obtained through the numerical approach of Zakian. The effects of various physical parameters on the velocity and temperature profiles, Nusselt number, and skin friction have been analyzed and depicted in graphs and tables. The distribution of the velocity and temperature either in viscous or Casson fluid do enhance by the fractional parameter. Penerbit Akademia Baru 2021 Article PeerReviewed application/pdf en http://eprints.utm.my/95059/1/RidhwanReyaz2021_CaputoFractionalMHDCasson.pdf Reyaz, R. and Lim, Y. J. and Mohamad, A. Q. and Saqib, M. and Shafie, S. (2021) Caputo fractional MHD casson fluid flow over an oscillating plate with thermal radiation. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 85 (2). ISSN 2289-7879 http://dx.doi.org/10.37934/ARFMTS.85.2.145158 DOI: 10.37934/ARFMTS.85.2.145158 |
spellingShingle | QA Mathematics Reyaz, R. Lim, Y. J. Mohamad, A. Q. Saqib, M. Shafie, S. Caputo fractional MHD casson fluid flow over an oscillating plate with thermal radiation |
title | Caputo fractional MHD casson fluid flow over an oscillating plate with thermal radiation |
title_full | Caputo fractional MHD casson fluid flow over an oscillating plate with thermal radiation |
title_fullStr | Caputo fractional MHD casson fluid flow over an oscillating plate with thermal radiation |
title_full_unstemmed | Caputo fractional MHD casson fluid flow over an oscillating plate with thermal radiation |
title_short | Caputo fractional MHD casson fluid flow over an oscillating plate with thermal radiation |
title_sort | caputo fractional mhd casson fluid flow over an oscillating plate with thermal radiation |
topic | QA Mathematics |
url | http://eprints.utm.my/95059/1/RidhwanReyaz2021_CaputoFractionalMHDCasson.pdf |
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