Thin film flow of non-newtonian third grade fluid down an inclined plane by variation of parameter method

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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Abstract

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.

Item Type:	Article
Uncontrolled Keywords:	non-Newtonian fluid; thin film flow; third-grade fluid; Variation of Parameters Method (VPM)
Subjects:	T Technology > TK Electrical engineering. Electronics Nuclear engineering > TK7800-8360 Electronics
Divisions:	Faculty of Mechanical and Manufacturing Engineering > Department of Mechanical Engineering
Depositing User:	Miss Afiqah Faiqah Mohd Hafiz
Date Deposited:	26 Jan 2022 08:22
Last Modified:	26 Jan 2022 08:22
URI:	http://eprints.uthm.edu.my/id/eprint/6122

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