The Linear Stability of a Power-Law Liquid Film Flowing Down an Inclined Deformable Plane

The Linear Stability of a Power-Law Liquid Film Flowing Down an Inclined Deformable Plane

A linear stability analysis is performed for a power-law liquid film flowing down an inclined rigid plane over a deformable solid layer. The deformable solid is modeled using a neo-Hookean constitutive equation, characterized by a constant shear modulus and a nonzero first normal stress difference i...

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Bibliographic Details
Main Authors: Karim Ladjelate, Nadia Mehidi Bouam, Amar Djema, Abdelkader Belhenniche, Roman Chertovskih
Format: Article
Language:English
Published: MDPI AG 2025-05-01
Series:Mathematics
Subjects:
surface-wave instability
power-law fluid film
deformable solid layer
linear stability
Riccati transformation method
Online Access:https://www.mdpi.com/2227-7390/13/9/1533
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