Analytical solution for impact of Caputo-Fabrizio fractional derivative on MHD casson fluid with thermal radiation and chemical reaction effects
Fractional derivatives have been proven to showcase a spectrum of solutions that is useful in the fields of engineering, medical, and manufacturing sciences. Studies on the application of fractional derivatives on fluid flow are relatively new, especially in analytical studies. Thus, geometrical rep...
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my.utm.1040302024-01-14T00:46:55Z http://eprints.utm.my/104030/ Analytical solution for impact of Caputo-Fabrizio fractional derivative on MHD casson fluid with thermal radiation and chemical reaction effects Reyaz, Ridhwan Mohamad, Ahmad Qushairi Lim, Yeou Jiann Muhammad Saqib, Muhammad Saqib Shafie, Sharidan QA Mathematics Fractional derivatives have been proven to showcase a spectrum of solutions that is useful in the fields of engineering, medical, and manufacturing sciences. Studies on the application of fractional derivatives on fluid flow are relatively new, especially in analytical studies. Thus, geometrical representations for fractional derivatives in the mechanics of fluid flows are yet to be discovered. Nonetheless, theoretical studies will be useful in facilitating future experimental studies. Therefore, the aim of this study is to showcase an analytical solution on the impact of the CaputoFabrizio fractional derivative for a magnethohydrodynamic (MHD) Casson fluid flow with thermal radiation and chemical reaction. Analytical solutions are obtained via Laplace transform through compound functions. The obtained solutions are first verified, then analysed. It is observed from the study that variations in the fractional derivative parameter, a, exhibits a transitional behaviour of fluid between unsteady state and steady state. Numerical analyses on skin friction, Nusselt number, and Sherwood number were also analysed. Behaviour of these three properties were in agreement of that from past literature. MDPI 2022 Article PeerReviewed application/pdf en http://eprints.utm.my/104030/1/AhmadQushairiMohamad2022_AnalyticalSolutionforImpactofCaputoFabrizio.pdf Reyaz, Ridhwan and Mohamad, Ahmad Qushairi and Lim, Yeou Jiann and Muhammad Saqib, Muhammad Saqib and Shafie, Sharidan (2022) Analytical solution for impact of Caputo-Fabrizio fractional derivative on MHD casson fluid with thermal radiation and chemical reaction effects. Fractal and Fractional, 6 (12). pp. 1-28. ISSN 504-3110 http://dx.doi.org/10.3390/fractalfract6010038 DOI : 10.3390/fractalfract6010038 |
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QA Mathematics Reyaz, Ridhwan Mohamad, Ahmad Qushairi Lim, Yeou Jiann Muhammad Saqib, Muhammad Saqib Shafie, Sharidan Analytical solution for impact of Caputo-Fabrizio fractional derivative on MHD casson fluid with thermal radiation and chemical reaction effects |
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Fractional derivatives have been proven to showcase a spectrum of solutions that is useful in the fields of engineering, medical, and manufacturing sciences. Studies on the application of fractional derivatives on fluid flow are relatively new, especially in analytical studies. Thus, geometrical representations for fractional derivatives in the mechanics of fluid flows are yet to be discovered. Nonetheless, theoretical studies will be useful in facilitating future experimental studies. Therefore, the aim of this study is to showcase an analytical solution on the impact of the CaputoFabrizio fractional derivative for a magnethohydrodynamic (MHD) Casson fluid flow with thermal radiation and chemical reaction. Analytical solutions are obtained via Laplace transform through compound functions. The obtained solutions are first verified, then analysed. It is observed from the study that variations in the fractional derivative parameter, a, exhibits a transitional behaviour of fluid between unsteady state and steady state. Numerical analyses on skin friction, Nusselt number, and Sherwood number were also analysed. Behaviour of these three properties were in agreement of that from past literature. |
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Article |
author |
Reyaz, Ridhwan Mohamad, Ahmad Qushairi Lim, Yeou Jiann Muhammad Saqib, Muhammad Saqib Shafie, Sharidan |
author_facet |
Reyaz, Ridhwan Mohamad, Ahmad Qushairi Lim, Yeou Jiann Muhammad Saqib, Muhammad Saqib Shafie, Sharidan |
author_sort |
Reyaz, Ridhwan |
title |
Analytical solution for impact of Caputo-Fabrizio fractional derivative on MHD casson fluid with thermal radiation and chemical reaction effects |
title_short |
Analytical solution for impact of Caputo-Fabrizio fractional derivative on MHD casson fluid with thermal radiation and chemical reaction effects |
title_full |
Analytical solution for impact of Caputo-Fabrizio fractional derivative on MHD casson fluid with thermal radiation and chemical reaction effects |
title_fullStr |
Analytical solution for impact of Caputo-Fabrizio fractional derivative on MHD casson fluid with thermal radiation and chemical reaction effects |
title_full_unstemmed |
Analytical solution for impact of Caputo-Fabrizio fractional derivative on MHD casson fluid with thermal radiation and chemical reaction effects |
title_sort |
analytical solution for impact of caputo-fabrizio fractional derivative on mhd casson fluid with thermal radiation and chemical reaction effects |
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MDPI |
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2022 |
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http://eprints.utm.my/104030/1/AhmadQushairiMohamad2022_AnalyticalSolutionforImpactofCaputoFabrizio.pdf http://eprints.utm.my/104030/ http://dx.doi.org/10.3390/fractalfract6010038 |
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