Numerical and series solutions for Von-Kármán flow of viscoelastic fluid inspired by viscous dissipation and Joule heating effects
Present article aims at developing similarity solutions for heat transportation in swirling flow of viscoelastic fluid (obeying Jeffrey model) generated by an infinite porous rotating surface. The resulting thermal energy equation comprising frictional heating and Ohmic dissipation terms is mainly f...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-07-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016823004428 |
| _version_ | 1797790817736196096 |
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| author | Haleema Sadia M. Mustafa M.A. Farooq |
| author_facet | Haleema Sadia M. Mustafa M.A. Farooq |
| author_sort | Haleema Sadia |
| collection | DOAJ |
| description | Present article aims at developing similarity solutions for heat transportation in swirling flow of viscoelastic fluid (obeying Jeffrey model) generated by an infinite porous rotating surface. The resulting thermal energy equation comprising frictional heating and Ohmic dissipation terms is mainly focused. Relevant equations simplified under boundary layer approximations have been solved analytically by a powerful homotopy based analytical scheme, while numerical solutions are constructed by a reliable MATLAB solver bvp4c. For homotopy based series solutions, total squared residual of the system is evaluated, and it is found to decline for increasing order of approximations. Both applied methods are shown to be in compliance with each other for wide range of viscoelastic fluid parameters. Computed solutions are utilized to understand the combined influence of viscoelasticity and viscous dissipation on heat transport phenomena associated with the Von-Kármán configuration. Subtle fluid dynamics entities such as resisting torque and Nusselt number are computed and elaborated. Results predict that the torque required by the disk drastically reduces when viscoelastic fluid assumption is applied. However, cooling rate of the disk in Newtonian fluid is better than that in viscoelastic fluid. Present results are found in agreement with that of the previous studies in a limiting situation. |
| first_indexed | 2024-03-13T02:09:56Z |
| format | Article |
| id | doaj.art-45626777645347ed89b23d287261d57b |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-03-13T02:09:56Z |
| publishDate | 2023-07-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-45626777645347ed89b23d287261d57b2023-07-01T04:34:28ZengElsevierAlexandria Engineering Journal1110-01682023-07-0175181190Numerical and series solutions for Von-Kármán flow of viscoelastic fluid inspired by viscous dissipation and Joule heating effectsHaleema Sadia0M. Mustafa1M.A. Farooq2School of Natural Sciences (SNS), National University of Sciences and Technology (NUST), Islamabad 44000, PakistanCorresponding author.; School of Natural Sciences (SNS), National University of Sciences and Technology (NUST), Islamabad 44000, PakistanSchool of Natural Sciences (SNS), National University of Sciences and Technology (NUST), Islamabad 44000, PakistanPresent article aims at developing similarity solutions for heat transportation in swirling flow of viscoelastic fluid (obeying Jeffrey model) generated by an infinite porous rotating surface. The resulting thermal energy equation comprising frictional heating and Ohmic dissipation terms is mainly focused. Relevant equations simplified under boundary layer approximations have been solved analytically by a powerful homotopy based analytical scheme, while numerical solutions are constructed by a reliable MATLAB solver bvp4c. For homotopy based series solutions, total squared residual of the system is evaluated, and it is found to decline for increasing order of approximations. Both applied methods are shown to be in compliance with each other for wide range of viscoelastic fluid parameters. Computed solutions are utilized to understand the combined influence of viscoelasticity and viscous dissipation on heat transport phenomena associated with the Von-Kármán configuration. Subtle fluid dynamics entities such as resisting torque and Nusselt number are computed and elaborated. Results predict that the torque required by the disk drastically reduces when viscoelastic fluid assumption is applied. However, cooling rate of the disk in Newtonian fluid is better than that in viscoelastic fluid. Present results are found in agreement with that of the previous studies in a limiting situation.http://www.sciencedirect.com/science/article/pii/S1110016823004428Revolving diskViscoelastic fluidDeborah numberHeat transferNon-linear problemApproximate solution |
| spellingShingle | Haleema Sadia M. Mustafa M.A. Farooq Numerical and series solutions for Von-Kármán flow of viscoelastic fluid inspired by viscous dissipation and Joule heating effects Alexandria Engineering Journal Revolving disk Viscoelastic fluid Deborah number Heat transfer Non-linear problem Approximate solution |
| title | Numerical and series solutions for Von-Kármán flow of viscoelastic fluid inspired by viscous dissipation and Joule heating effects |
| title_full | Numerical and series solutions for Von-Kármán flow of viscoelastic fluid inspired by viscous dissipation and Joule heating effects |
| title_fullStr | Numerical and series solutions for Von-Kármán flow of viscoelastic fluid inspired by viscous dissipation and Joule heating effects |
| title_full_unstemmed | Numerical and series solutions for Von-Kármán flow of viscoelastic fluid inspired by viscous dissipation and Joule heating effects |
| title_short | Numerical and series solutions for Von-Kármán flow of viscoelastic fluid inspired by viscous dissipation and Joule heating effects |
| title_sort | numerical and series solutions for von karman flow of viscoelastic fluid inspired by viscous dissipation and joule heating effects |
| topic | Revolving disk Viscoelastic fluid Deborah number Heat transfer Non-linear problem Approximate solution |
| url | http://www.sciencedirect.com/science/article/pii/S1110016823004428 |
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