Exact approximations for skin friction coefficient and convective heat transfer coefficient for a class of power law fluids flow over a semi-infinite plate: Results from similarity solutions
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Author(s)
Jafarimoghaddam, Amin
Aberoumand, Sadegh
Griffith University Author(s)
Year published
2017
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In the present work, it is aimed to derive exact formulations for skin friction coefficient (Cf) and convective heat transfer coefficient (h) for power law fluids with 0.8 < n < 1.2 flow over a semi-infinite plate and with the constant wall temperature boundary condition. Similarity analysis was employed to solve the problem for 410,000 cases with different power law indexes (n) and Prandtl numbers (0.1 < Pr < 1000). Finally, based on the acquired data from similarity solutions, exact approximations (with R-Square ∼ 1) are proposed for Cf and also h. These exact formulations can be considered as replaces for the former ones ...
View more >In the present work, it is aimed to derive exact formulations for skin friction coefficient (Cf) and convective heat transfer coefficient (h) for power law fluids with 0.8 < n < 1.2 flow over a semi-infinite plate and with the constant wall temperature boundary condition. Similarity analysis was employed to solve the problem for 410,000 cases with different power law indexes (n) and Prandtl numbers (0.1 < Pr < 1000). Finally, based on the acquired data from similarity solutions, exact approximations (with R-Square ∼ 1) are proposed for Cf and also h. These exact formulations can be considered as replaces for the former ones in the literature for Newtonian fluids (n = 1).
View less >
View more >In the present work, it is aimed to derive exact formulations for skin friction coefficient (Cf) and convective heat transfer coefficient (h) for power law fluids with 0.8 < n < 1.2 flow over a semi-infinite plate and with the constant wall temperature boundary condition. Similarity analysis was employed to solve the problem for 410,000 cases with different power law indexes (n) and Prandtl numbers (0.1 < Pr < 1000). Finally, based on the acquired data from similarity solutions, exact approximations (with R-Square ∼ 1) are proposed for Cf and also h. These exact formulations can be considered as replaces for the former ones in the literature for Newtonian fluids (n = 1).
View less >
Journal Title
Engineering Science and Technology, an International Journal
Volume
20
Issue
3
Copyright Statement
© 2016 Karabuk University. Publishing services by Elsevier B.V.
This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
Subject
Environmental sciences
Science & Technology
Technology
Engineering, Multidisciplinary
Engineering
Exact approximations