Simultaneous Flow of n-Immiscible Fractional Maxwell Fluids with Generalized Thermal Flux and Robin Boundary Conditions
In a rectangular region, the multilayered laminar unsteady flow and temperature distribution of the immiscible Maxwell fractional fluids by two parallel moving walls are studied. The flow of the fluid occurs in the presence of Robin’s boundaries and linear fluid-fluid interface conditions due to the...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/5572823 |
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| author | Abdul Rauf Qammar Rubbab Nehad Ali Shah Kaleem Razzaq Malik |
| author_facet | Abdul Rauf Qammar Rubbab Nehad Ali Shah Kaleem Razzaq Malik |
| author_sort | Abdul Rauf |
| collection | DOAJ |
| description | In a rectangular region, the multilayered laminar unsteady flow and temperature distribution of the immiscible Maxwell fractional fluids by two parallel moving walls are studied. The flow of the fluid occurs in the presence of Robin’s boundaries and linear fluid-fluid interface conditions due to the motion of the parallel walls on its planes and the time-dependent pressure gradient. The problem is defined as a mathematical model which focuses on the fluid memory, which is represented by a constituent equation with the Caputo time-fractional derivative. The integral transformations approach (the Laplace transform and the finite sine-Fourier transform) is used to determine analytical solutions for velocity, shear stress, and the temperature fields with fluid interface, initial, and boundary conditions. For semianalytical solutions, the algorithms of Talbot are used to calculate the Laplace inverse transformation. We used the Mathcad software for graphical illustration and numerical computation. It has been observed that the memory effect is significant on both fluid motion and temperature flow. |
| format | Article |
| id | doaj-art-54d132655aab4ae7b7625a6a700bc7c8 |
| institution | OA Journals |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-54d132655aab4ae7b7625a6a700bc7c82025-08-20T02:05:06ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/55728235572823Simultaneous Flow of n-Immiscible Fractional Maxwell Fluids with Generalized Thermal Flux and Robin Boundary ConditionsAbdul Rauf0Qammar Rubbab1Nehad Ali Shah2Kaleem Razzaq Malik3Department of Computer Science, Air University Multan Campus, Multan 60000, PakistanDepartment of Mathematics, The Woman University Multan, Multan, PakistanInformetrics Research Group, Ton Duc Thang University, Ho Chi Minh, VietnamDepartment of Computer Science, Air University Multan Campus, Multan 60000, PakistanIn a rectangular region, the multilayered laminar unsteady flow and temperature distribution of the immiscible Maxwell fractional fluids by two parallel moving walls are studied. The flow of the fluid occurs in the presence of Robin’s boundaries and linear fluid-fluid interface conditions due to the motion of the parallel walls on its planes and the time-dependent pressure gradient. The problem is defined as a mathematical model which focuses on the fluid memory, which is represented by a constituent equation with the Caputo time-fractional derivative. The integral transformations approach (the Laplace transform and the finite sine-Fourier transform) is used to determine analytical solutions for velocity, shear stress, and the temperature fields with fluid interface, initial, and boundary conditions. For semianalytical solutions, the algorithms of Talbot are used to calculate the Laplace inverse transformation. We used the Mathcad software for graphical illustration and numerical computation. It has been observed that the memory effect is significant on both fluid motion and temperature flow.http://dx.doi.org/10.1155/2021/5572823 |
| spellingShingle | Abdul Rauf Qammar Rubbab Nehad Ali Shah Kaleem Razzaq Malik Simultaneous Flow of n-Immiscible Fractional Maxwell Fluids with Generalized Thermal Flux and Robin Boundary Conditions Advances in Mathematical Physics |
| title | Simultaneous Flow of n-Immiscible Fractional Maxwell Fluids with Generalized Thermal Flux and Robin Boundary Conditions |
| title_full | Simultaneous Flow of n-Immiscible Fractional Maxwell Fluids with Generalized Thermal Flux and Robin Boundary Conditions |
| title_fullStr | Simultaneous Flow of n-Immiscible Fractional Maxwell Fluids with Generalized Thermal Flux and Robin Boundary Conditions |
| title_full_unstemmed | Simultaneous Flow of n-Immiscible Fractional Maxwell Fluids with Generalized Thermal Flux and Robin Boundary Conditions |
| title_short | Simultaneous Flow of n-Immiscible Fractional Maxwell Fluids with Generalized Thermal Flux and Robin Boundary Conditions |
| title_sort | simultaneous flow of n immiscible fractional maxwell fluids with generalized thermal flux and robin boundary conditions |
| url | http://dx.doi.org/10.1155/2021/5572823 |
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