Thin film flow of non-newtonian third grade fluid down an inclined plane by variation of parameter method
In this study, a non-Newtonian third-grade fluid flow down an inclined parallel plate held horizontally against each other are investigated. As the nonlinear differential equation which governs the flow model can be obtained by using the conversation of laws, the Variation of Parameters Method (VPM)...
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my.uthm.eprints.61222022-01-26T08:22:47Z http://eprints.uthm.edu.my/6122/ Thin film flow of non-newtonian third grade fluid down an inclined plane by variation of parameter method Manshoor, Bukhari Salleh, Hamidon Hariri, Azian Zaman, Izzuddin TK7800-8360 Electronics In this study, a non-Newtonian third-grade fluid flow down an inclined parallel plate held horizontally against each other are investigated. As the nonlinear differential equation which governs the flow model can be obtained by using the conversation of laws, the Variation of Parameters Method (VPM) is then applied to solve the aforementioned differential equation. The proposed VPM is applied without any discretization, perturbation, transformation or restrictive assumptions and is free from round off errors and calculation. Analytical solution solved by Runge-Kutta numerical solution and the VPM show excellent agreement. Effects of flow parameters β and m on the velocity field are demonstrated graphically with comprehensive discussions. Numerical results reveal the complete reliability of the proposed VPM. FAZ Publishing 2020 Article PeerReviewed text en http://eprints.uthm.edu.my/6122/1/AJ%202020%20%28194%29.pdf Manshoor, Bukhari and Salleh, Hamidon and Hariri, Azian and Zaman, Izzuddin (2020) Thin film flow of non-newtonian third grade fluid down an inclined plane by variation of parameter method. Journal of Complex Flow, 1 (1). pp. 29-32. ISSN 2672-7374 |
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TK7800-8360 Electronics Manshoor, Bukhari Salleh, Hamidon Hariri, Azian Zaman, Izzuddin Thin film flow of non-newtonian third grade fluid down an inclined plane by variation of parameter method |
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In this study, a non-Newtonian third-grade fluid flow down an inclined parallel plate held horizontally against each other are investigated. As the nonlinear differential equation which governs the flow model can be obtained by using the conversation of laws, the Variation of Parameters Method (VPM) is then applied to solve the aforementioned differential equation. The proposed VPM is applied without any discretization, perturbation, transformation or restrictive assumptions and is free from round off errors and calculation. Analytical solution solved by Runge-Kutta numerical solution and the VPM show excellent agreement. Effects of flow parameters β and m on the velocity field are demonstrated graphically with comprehensive discussions. Numerical results reveal the complete reliability of the proposed VPM. |
format |
Article |
author |
Manshoor, Bukhari Salleh, Hamidon Hariri, Azian Zaman, Izzuddin |
author_facet |
Manshoor, Bukhari Salleh, Hamidon Hariri, Azian Zaman, Izzuddin |
author_sort |
Manshoor, Bukhari |
title |
Thin film flow of non-newtonian third grade fluid down an inclined plane by variation of parameter method |
title_short |
Thin film flow of non-newtonian third grade fluid down an inclined plane by variation of parameter method |
title_full |
Thin film flow of non-newtonian third grade fluid down an inclined plane by variation of parameter method |
title_fullStr |
Thin film flow of non-newtonian third grade fluid down an inclined plane by variation of parameter method |
title_full_unstemmed |
Thin film flow of non-newtonian third grade fluid down an inclined plane by variation of parameter method |
title_sort |
thin film flow of non-newtonian third grade fluid down an inclined plane by variation of parameter method |
publisher |
FAZ Publishing |
publishDate |
2020 |
url |
http://eprints.uthm.edu.my/6122/1/AJ%202020%20%28194%29.pdf http://eprints.uthm.edu.my/6122/ |
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1738581452907347968 |
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13.251813 |