Transient Axisymmetric Flows of Casson Fluids with Generalized Cattaneo’s Law over a Vertical Cylinder
Unsteady axial symmetric flows of an incompressible and electrically conducting Casson fluid over a vertical cylinder with time-variable temperature under the influence of an external transversely magnetic field are studied. The thermal transport is described by a generalized mathematical model bas...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022
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| Online Access: | http://umpir.ump.edu.my/id/eprint/34711/7/Transient%20Axisymmetric%20Flows%20of%20Casson.pdf |
| _version_ | 1825824086343811072 |
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| author | Husna Izzati, Osman Vieru, Dumitru Zulkhibri, Ismail |
| author_facet | Husna Izzati, Osman Vieru, Dumitru Zulkhibri, Ismail |
| author_sort | Husna Izzati, Osman |
| collection | UMP |
| description | Unsteady axial symmetric flows of an incompressible and electrically conducting Casson fluid over a vertical cylinder with time-variable temperature under the influence of an external transversely magnetic field are studied. The thermal transport is described by a generalized mathematical
model based on the time-fractional differential equation of Cattaneo’s law with the Caputo derivative. In this way, our model is able to highlight the effect of the temperature gradient history on heat transport and fluid motion. The generalized mathematical model of thermal transport can be
particularized to obtain the classical Cattaneo’s law and the classical Fourier’s law. The comparison of the three models could offer the optimal model of heat transport. The problem solution has been determined in the general case when cylinder surface temperature is described by a function f(t);
therefore, the obtained solutions can be used to study different convective flows over a cylinder. In the particular case of surface temperature varying exponentially in time, it is found that fractional models lead to a small temperature rise according to the Cattaneo model. |
| first_indexed | 2024-03-06T12:58:50Z |
| format | Article |
| id | UMPir34711 |
| institution | Universiti Malaysia Pahang |
| language | English |
| last_indexed | 2024-03-06T12:58:50Z |
| publishDate | 2022 |
| publisher | MDPI AG |
| record_format | dspace |
| spelling | UMPir347112022-07-18T01:06:54Z http://umpir.ump.edu.my/id/eprint/34711/ Transient Axisymmetric Flows of Casson Fluids with Generalized Cattaneo’s Law over a Vertical Cylinder Husna Izzati, Osman Vieru, Dumitru Zulkhibri, Ismail QA Mathematics Unsteady axial symmetric flows of an incompressible and electrically conducting Casson fluid over a vertical cylinder with time-variable temperature under the influence of an external transversely magnetic field are studied. The thermal transport is described by a generalized mathematical model based on the time-fractional differential equation of Cattaneo’s law with the Caputo derivative. In this way, our model is able to highlight the effect of the temperature gradient history on heat transport and fluid motion. The generalized mathematical model of thermal transport can be particularized to obtain the classical Cattaneo’s law and the classical Fourier’s law. The comparison of the three models could offer the optimal model of heat transport. The problem solution has been determined in the general case when cylinder surface temperature is described by a function f(t); therefore, the obtained solutions can be used to study different convective flows over a cylinder. In the particular case of surface temperature varying exponentially in time, it is found that fractional models lead to a small temperature rise according to the Cattaneo model. MDPI AG 2022-06-26 Article PeerReviewed pdf en cc_by_4 http://umpir.ump.edu.my/id/eprint/34711/7/Transient%20Axisymmetric%20Flows%20of%20Casson.pdf Husna Izzati, Osman and Vieru, Dumitru and Zulkhibri, Ismail (2022) Transient Axisymmetric Flows of Casson Fluids with Generalized Cattaneo’s Law over a Vertical Cylinder. Symmetry, 14 (7). pp. 1-14. ISSN 2073-8994. (Published) https://doi.org/10.3390/sym14071319 https://doi.org/10.3390/sym14071319 |
| spellingShingle | QA Mathematics Husna Izzati, Osman Vieru, Dumitru Zulkhibri, Ismail Transient Axisymmetric Flows of Casson Fluids with Generalized Cattaneo’s Law over a Vertical Cylinder |
| title | Transient Axisymmetric Flows of Casson Fluids with Generalized Cattaneo’s Law over a Vertical Cylinder |
| title_full | Transient Axisymmetric Flows of Casson Fluids with Generalized Cattaneo’s Law over a Vertical Cylinder |
| title_fullStr | Transient Axisymmetric Flows of Casson Fluids with Generalized Cattaneo’s Law over a Vertical Cylinder |
| title_full_unstemmed | Transient Axisymmetric Flows of Casson Fluids with Generalized Cattaneo’s Law over a Vertical Cylinder |
| title_short | Transient Axisymmetric Flows of Casson Fluids with Generalized Cattaneo’s Law over a Vertical Cylinder |
| title_sort | transient axisymmetric flows of casson fluids with generalized cattaneo s law over a vertical cylinder |
| topic | QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/34711/7/Transient%20Axisymmetric%20Flows%20of%20Casson.pdf |
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