Approximate analytical solutions for viscoelastic differential type flow models using homotopy analysis method
Also available in printed version : HQ2037 M93 2009 raf
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| Format: | Doctoral thesis |
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Universiti Teknologi Malaysia
2025
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| Online Access: | https://utmik.utm.my/handle/123456789/104287 |
| Abstract | Abstract here |
| _version_ | 1854934145105395712 |
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| author | Mojtaba Nazari |
| author2 | Zainal Abdul Aziz, supervisor |
| author_facet | Zainal Abdul Aziz, supervisor Mojtaba Nazari |
| author_sort | Mojtaba Nazari |
| description | Also available in printed version : HQ2037 M93 2009 raf |
| format | Doctoral thesis |
| id | utm-123456789-104287 |
| institution | Universiti Teknologi Malaysia |
| publishDate | 2025 |
| publisher | Universiti Teknologi Malaysia |
| record_format | dspace |
| record_pdf | Abstract |
| spelling | utm-123456789-1042872025-08-21T09:25:41Z Approximate analytical solutions for viscoelastic differential type flow models using homotopy analysis method Mojtaba Nazari Zainal Abdul Aziz, supervisor Science Also available in printed version : HQ2037 M93 2009 raf The studies of non-Newtonian fluids have become an immense challenge to mathematicians, engineers and numerical analysts due to applications and importance of non-Newtonian fluids in the field of science and technology. In this work, the sub-class of non-Newtonian fluids, in particular the viscoelastic fluids in unsteady and steady cases of flow are studied. Two types of viscoelastic fluids namely third and fourth grade fluids are considered. Accelerated magnetohydrodynamics (MHD) flow of third and fourth grades fluids in a porous medium and rotating frame are investigated. Steady MHD flow of third and fourth grade fluids in a porous medium and rotating frame under the condition of suction and blowing are also deliberated. New results in terms of approximate analytical solutions for the modelled non-linear equations are generated via homotopy analysis method. All the obtained solutions satisfy the imposed initial and boundary conditions. The acquired results for velocity profile are shown graphically for various physical parameters. Graphical results generally show that, by increasing second, third and fourth grade parameters, the real and imaginary parts of velocity increases. In fact, the reason for the increase in the real and imaginary parts of velocity is that, changes of values of second, third and fourth grade parameters have a direct effect on the stress tensor. While the stress tensor increases, the forces increase, resulting in the increase of acceleration and consequently velocity (according to Newton's second law). It is found that when MHD is increased, the real and imaginary parts of the velocity profile decreased. Basically, this is due to the resistance caused by the Lorentz force. When porosity parameters increase, the real and imaginary parts of the velocity profile decrease, since the fluid moves slowly due to the resistance caused by existing friction force. It is observed that by increasing the rotation parameter, the real and imaginary parts of the velocity profile decrease. Some of the results obtained are also compared with published results and found to be in excellent agreement. These demonstrate the validity of the solutions attained zulaihi UTM 178 p. Project Paper (Sarjana Muda Teknologi serta Pendidikan (Kemahiran Hidup)) - Universiti Teknologi Malaysia, 2009 2025-04-10T07:16:59Z 2025-04-10T07:16:59Z 2014 Doctoral thesis https://utmik.utm.my/handle/123456789/104287 valet-20161201-123045 vital:93145 Closed Access UTM Complete Unpublished application/pdf Universiti Teknologi Malaysia |
| spellingShingle | Science Mojtaba Nazari Approximate analytical solutions for viscoelastic differential type flow models using homotopy analysis method |
| thesis_level |
PhD
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| title | Approximate analytical solutions for viscoelastic differential type flow models using homotopy analysis method |
| title_full | Approximate analytical solutions for viscoelastic differential type flow models using homotopy analysis method |
| title_fullStr | Approximate analytical solutions for viscoelastic differential type flow models using homotopy analysis method |
| title_full_unstemmed | Approximate analytical solutions for viscoelastic differential type flow models using homotopy analysis method |
| title_short | Approximate analytical solutions for viscoelastic differential type flow models using homotopy analysis method |
| title_sort | approximate analytical solutions for viscoelastic differential type flow models using homotopy analysis method |
| topic | Science |
| url | https://utmik.utm.my/handle/123456789/104287 |
| work_keys_str_mv | AT mojtabanazari approximateanalyticalsolutionsforviscoelasticdifferentialtypeflowmodelsusinghomotopyanalysismethod |