Analytical treatment for accelerated riga plate on fractional Caputo-Fabrizio Casson fluid
The Riga plate is a substantial alteration in the world of engineering. Mainly used in submarines to regulate water flow, studying the behaviour of fluid flowing over a Riga plate is very advantageous. Although there are ample studies on fluid flowing over a Riga plate, the introduction of fractiona...
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my.utm.1058702024-05-20T07:21:44Z http://eprints.utm.my/105870/ Analytical treatment for accelerated riga plate on fractional Caputo-Fabrizio Casson fluid Reyaz, Ridhwan Mohamad, Ahmad Qushairi Lim, Yeou Jiann Shafie, Sharidan QA Mathematics The Riga plate is a substantial alteration in the world of engineering. Mainly used in submarines to regulate water flow, studying the behaviour of fluid flowing over a Riga plate is very advantageous. Although there are ample studies on fluid flowing over a Riga plate, the introduction of fractional derivatives, coupled with a non-Newtonian fluid, has yet to be done. Within the field of fluid mechanics, specifically boundary layer flow, fractional derivatives do not have a proven geometrical representation. However, analytical solutions would be useful in aiding experimental researches in the future. Thus, this study aims to present an analytical function for a Caputo-Fabrizio fractional derivative on an unsteady Casson fluid flowing over an accelerating ve rtical Riga plate by using the Laplace transform method. The parametric effects considered in this study is elucidated. Through observation of obtained graphical results generated via the obtained analytical solutions, it is found that amplification of the fractional parameter and modified Hartmann number increases the fluid velocity with an average increment of 42.05% and 1.56%, respectively. While amplification of the Casson parameter and Prandtl number dampens the fluid velocity by an average of 45.09% a nd 43.56%, respectively. Penerbit Akademia Baru 2023 Article PeerReviewed application/pdf en http://eprints.utm.my/105870/1/AhmadQushairiMohamad2023_AnalyticalTreatmentforAcceleratedRigaPlate.pdf Reyaz, Ridhwan and Mohamad, Ahmad Qushairi and Lim, Yeou Jiann and Shafie, Sharidan (2023) Analytical treatment for accelerated riga plate on fractional Caputo-Fabrizio Casson fluid. CFD Letters, 15 (4). pp. 114-131. ISSN 2180-1363 http://dx.doi.org/10.37934/cfdl.15.4.114131 DOI : 10.37934/cfdl.15.4.114131 |
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QA Mathematics Reyaz, Ridhwan Mohamad, Ahmad Qushairi Lim, Yeou Jiann Shafie, Sharidan Analytical treatment for accelerated riga plate on fractional Caputo-Fabrizio Casson fluid |
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The Riga plate is a substantial alteration in the world of engineering. Mainly used in submarines to regulate water flow, studying the behaviour of fluid flowing over a Riga plate is very advantageous. Although there are ample studies on fluid flowing over a Riga plate, the introduction of fractional derivatives, coupled with a non-Newtonian fluid, has yet to be done. Within the field of fluid mechanics, specifically boundary layer flow, fractional derivatives do not have a proven geometrical representation. However, analytical solutions would be useful in aiding experimental researches in the future. Thus, this study aims to present an analytical function for a Caputo-Fabrizio fractional derivative on an unsteady Casson fluid flowing over an accelerating ve rtical Riga plate by using the Laplace transform method. The parametric effects considered in this study is elucidated. Through observation of obtained graphical results generated via the obtained analytical solutions, it is found that amplification of the fractional parameter and modified Hartmann number increases the fluid velocity with an average increment of 42.05% and 1.56%, respectively. While amplification of the Casson parameter and Prandtl number dampens the fluid velocity by an average of 45.09% a nd 43.56%, respectively. |
format |
Article |
author |
Reyaz, Ridhwan Mohamad, Ahmad Qushairi Lim, Yeou Jiann Shafie, Sharidan |
author_facet |
Reyaz, Ridhwan Mohamad, Ahmad Qushairi Lim, Yeou Jiann Shafie, Sharidan |
author_sort |
Reyaz, Ridhwan |
title |
Analytical treatment for accelerated riga plate on fractional Caputo-Fabrizio Casson fluid |
title_short |
Analytical treatment for accelerated riga plate on fractional Caputo-Fabrizio Casson fluid |
title_full |
Analytical treatment for accelerated riga plate on fractional Caputo-Fabrizio Casson fluid |
title_fullStr |
Analytical treatment for accelerated riga plate on fractional Caputo-Fabrizio Casson fluid |
title_full_unstemmed |
Analytical treatment for accelerated riga plate on fractional Caputo-Fabrizio Casson fluid |
title_sort |
analytical treatment for accelerated riga plate on fractional caputo-fabrizio casson fluid |
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Penerbit Akademia Baru |
publishDate |
2023 |
url |
http://eprints.utm.my/105870/1/AhmadQushairiMohamad2023_AnalyticalTreatmentforAcceleratedRigaPlate.pdf http://eprints.utm.my/105870/ http://dx.doi.org/10.37934/cfdl.15.4.114131 |
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