MHD effects on Casson fluid flow squeezing between parallel plates
We introduce this work by studying the non-Newtonian fluids, which have huge applications in different science fields. We decided to concentrate on taking the time-dependent Casson fluid, which is non-Newtonian, compressed between two flat plates. in fractional form and the magnetohydrodynamic and D...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-10-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20231507?viewType=HTML |
| _version_ | 1827763155686653952 |
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| author | Amal Al-Hanaya Munirah Alotaibi Mohammed Shqair Ahmed Eissa Hagag |
| author_facet | Amal Al-Hanaya Munirah Alotaibi Mohammed Shqair Ahmed Eissa Hagag |
| author_sort | Amal Al-Hanaya |
| collection | DOAJ |
| description | We introduce this work by studying the non-Newtonian fluids, which have huge applications in different science fields. We decided to concentrate on taking the time-dependent Casson fluid, which is non-Newtonian, compressed between two flat plates. in fractional form and the magnetohydrodynamic and Darcian flow effects in consideration using the semi-analytical iterative method created by Temimi and Ansari, known as TAM, this method is carefully selected to be suitable for studying the Navier-Stokes model in the modified form to express the studied case mathematically. To simplify the partial differential equations of the system to the nonlinear ordinary differential equation of order four the similarity transformations suggested by Wang (1976) are used. The TAM approach demonstrates a high degree of accuracy, efficiency, and convergence when applied to the resolution of both linear and nonlinear problems, and the results in this article are used to study the effect of the related factors like squeeze number Sq, Casson parameterβ, magnetohydrodynamic parameter Mg and permeability constant Mp and examining the skin friction coefficient effect. The velocity profile is studied numerically, which is tabulated and graphically represented to show and confirm the theoretical study. We can conclude that the success of the proposed method in studying time-dependent Casson fluid, which is non-Newtonian, compressed between two flat plates provides opportunities for additional study and advancements in fluid mechanics using the techniques. |
| first_indexed | 2024-03-11T10:47:13Z |
| format | Article |
| id | doaj.art-8bcb4a619ac34317a60605fa93f094c5 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-11T10:47:13Z |
| publishDate | 2023-10-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-8bcb4a619ac34317a60605fa93f094c52023-11-14T01:29:08ZengAIMS PressAIMS Mathematics2473-69882023-10-01812294402945210.3934/math.20231507MHD effects on Casson fluid flow squeezing between parallel platesAmal Al-Hanaya0Munirah Alotaibi 1Mohammed Shqair 2Ahmed Eissa Hagag31. Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh 11671 Saudi Arabia1. Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh 11671 Saudi Arabia2. Faculty of Science, Zarqa University, Zarqa 13110, Jordan3. Department of Basic Science, Faculty of Engineering, Sinai University, Ismailia, EgyptWe introduce this work by studying the non-Newtonian fluids, which have huge applications in different science fields. We decided to concentrate on taking the time-dependent Casson fluid, which is non-Newtonian, compressed between two flat plates. in fractional form and the magnetohydrodynamic and Darcian flow effects in consideration using the semi-analytical iterative method created by Temimi and Ansari, known as TAM, this method is carefully selected to be suitable for studying the Navier-Stokes model in the modified form to express the studied case mathematically. To simplify the partial differential equations of the system to the nonlinear ordinary differential equation of order four the similarity transformations suggested by Wang (1976) are used. The TAM approach demonstrates a high degree of accuracy, efficiency, and convergence when applied to the resolution of both linear and nonlinear problems, and the results in this article are used to study the effect of the related factors like squeeze number Sq, Casson parameterβ, magnetohydrodynamic parameter Mg and permeability constant Mp and examining the skin friction coefficient effect. The velocity profile is studied numerically, which is tabulated and graphically represented to show and confirm the theoretical study. We can conclude that the success of the proposed method in studying time-dependent Casson fluid, which is non-Newtonian, compressed between two flat plates provides opportunities for additional study and advancements in fluid mechanics using the techniques.https://www.aimspress.com/article/doi/10.3934/math.20231507?viewType=HTMLcasson fluidsqueezingmhd fluidfractional calculussemi-analytical iterative approachtam method |
| spellingShingle | Amal Al-Hanaya Munirah Alotaibi Mohammed Shqair Ahmed Eissa Hagag MHD effects on Casson fluid flow squeezing between parallel plates AIMS Mathematics casson fluid squeezing mhd fluid fractional calculus semi-analytical iterative approach tam method |
| title | MHD effects on Casson fluid flow squeezing between parallel plates |
| title_full | MHD effects on Casson fluid flow squeezing between parallel plates |
| title_fullStr | MHD effects on Casson fluid flow squeezing between parallel plates |
| title_full_unstemmed | MHD effects on Casson fluid flow squeezing between parallel plates |
| title_short | MHD effects on Casson fluid flow squeezing between parallel plates |
| title_sort | mhd effects on casson fluid flow squeezing between parallel plates |
| topic | casson fluid squeezing mhd fluid fractional calculus semi-analytical iterative approach tam method |
| url | https://www.aimspress.com/article/doi/10.3934/math.20231507?viewType=HTML |
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