Instability and waves during generalized Newtonian fluid film flow down a vertical wall

E. I. Mogilevskii; V. Ya Shkadov

doi:10.1134/S0015462810030051

Instability and waves during generalized Newtonian fluid film flow down a vertical wall

E. I. Mogilevskii
, V. Ya Shkadov

Department of Mechanical Engineering and Mechatronics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

The problem of linear stability of a non-Newtonian fluid film flowing down a vertical plane under the action of gravity is considered. The linear stability of steady-state flow with a plane free boundary and the nonlinear waves that arise if this flow is unstable are investigated. The results obtained for two rheological models, the power-law and Eyring fluids, are compared.

Original language	English
Pages (from-to)	378-390
Number of pages	13
Journal	Fluid Dynamics
Volume	45
Issue number	3
DOIs	https://doi.org/10.1134/S0015462810030051
State	Published - 2010

Keywords

Capillary films
Eyring model
Non-Newtonian fluids
Nonlinear waves
Power-law fluids
Stability

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10.1134/S0015462810030051

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abstract = "The problem of linear stability of a non-Newtonian fluid film flowing down a vertical plane under the action of gravity is considered. The linear stability of steady-state flow with a plane free boundary and the nonlinear waves that arise if this flow is unstable are investigated. The results obtained for two rheological models, the power-law and Eyring fluids, are compared.",

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N2 - The problem of linear stability of a non-Newtonian fluid film flowing down a vertical plane under the action of gravity is considered. The linear stability of steady-state flow with a plane free boundary and the nonlinear waves that arise if this flow is unstable are investigated. The results obtained for two rheological models, the power-law and Eyring fluids, are compared.

AB - The problem of linear stability of a non-Newtonian fluid film flowing down a vertical plane under the action of gravity is considered. The linear stability of steady-state flow with a plane free boundary and the nonlinear waves that arise if this flow is unstable are investigated. The results obtained for two rheological models, the power-law and Eyring fluids, are compared.

KW - Capillary films

KW - Eyring model

KW - Non-Newtonian fluids

KW - Nonlinear waves

KW - Power-law fluids

KW - Stability

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ER -

Instability and waves during generalized Newtonian fluid film flow down a vertical wall

Abstract

Keywords

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