Stability analysis on the flow of thin second-grade fluid over a heated inclined plate with variable fluid properties

This work investigates the thin film instability of a non-Newtonian second-grade fluid flowing down a heated inclined plane subject to linear variation of physical properties such as density, viscosity, thermal diffusivity, and surface tension concerning temperature. A nonlinear evolution equation f...

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Bibliographic Details
Published inInternational journal of non-linear mechanics Vol. 133; p. 103711
Main Authors Varghese, Abraham Sam, Panda, Satyananda
Format Journal Article
LanguageEnglish
Published New York Elsevier Ltd 01.07.2021
Elsevier BV
Subjects
Flow stability
Fluid dynamics
Fluid flow
Free surfaces
Hydrodynamic stability
Linear phase
Longwave approximation
Multiscale analysis
Non-Newtonian fluid
Nonlinear evolution equations
Parameters
Phase velocity
Physical properties
Reynolds number
Stability
Stability analysis
Surface tension
Thermal diffusivity
Thin film
Thin films
Variable thermo-physical fluid properties
Wave propagation
76E30
Hydrodynamic stability
76A05
Longwave approximation
76E17
Variable thermo-physical fluid properties
Thin film
Non-Newtonian fluid
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Summary:This work investigates the thin film instability of a non-Newtonian second-grade fluid flowing down a heated inclined plane subject to linear variation of physical properties such as density, viscosity, thermal diffusivity, and surface tension concerning temperature. A nonlinear evolution equation for the description of the free surface is derived using long-wave approximation. The critical conditions for the onset of instability, such as critical Reynolds number, critical wave number, and the linear phase speed of wave propagation, are obtained by linear stability analysis through the normal mode approach. Further, the investigation on the weakly nonlinear stability characteristic of the fluid using a multi-scale approach reveals that both supercritical stability and subcritical instability exist. The influence of the non-Newtonian parameter and the variable fluid properties on subcritical, supercritical, unconditional, and explosive zones are discussed. It also discusses the amplitude of disturbances in subcritical and supercritical regions. The results show the destabilizing nature of the second-grade parameter.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:0020-7462
1878-5638
DOI:10.1016/j.ijnonlinmec.2021.103711