Asymptotic analysis of boundary layer flow of a fluid with temperature-dependent viscosity

In this work, we study boundary layer flows for thermo-dependent Newtonian fluids. We first show that the governing equations admit a self-similar solution. Furthermore, an asymptotic model is used to obtain correlations on heat transfer and the skin-friction coefficient. In addition, the numerical...

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Bibliographic Details
Published in:Numerical heat transfer. Part A, Applications Applications, 2024-02, Vol.85 (3), p.400-421
Main Authors: Amtout, Tarik, Cheikhi, Adil, Er-Riani, Mustapha, Lahrouz, Aadil, El Jarroudi, Mustapha, Settati, Adil
Format: Article
Language:English
Subjects:
Asymptotic modeling
Asymptotic properties
boundary layer
Boundary layer flow
Coefficient of friction
Fluid flow
heat transfer
Newtonian fluids
Prandtl number
Self-similarity
Skin friction
Stream functions (fluids)
Temperature dependence
Temperature distribution
thermal dependency properties
Thickness
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Summary:In this work, we study boundary layer flows for thermo-dependent Newtonian fluids. We first show that the governing equations admit a self-similar solution. Furthermore, an asymptotic model is used to obtain correlations on heat transfer and the skin-friction coefficient. In addition, the numerical study of the complete problem enables us to specify the domain of validity of these correlations. Finally, the obtained numerical results are used to analyze the influence of the Prandtl number on the profiles of the stream function and the temperature field, and also on parameters such as the local Nusselt number and the thickness of the boundary layer.
ISSN:1040-7782
1521-0634
DOI:10.1080/10407782.2023.2187495