What question did this study set out to answer?

To investigate the linear and nonlinear wave dynamics and stability regimes of a gravity-driven power-law fluid film flowing down an inclined plane.

January 5, 2012Journal of Fluid Mechanics

Wavy regime of a power-law film flow

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Authors

CRChristian Ruyer-Quil SCSymphony Chakraborty BDB. S. Dandapat

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Overview

Hydrodynamic modeling reveals non-trivial stability transitions and wave acceleration in falling power-law fluid films, highlighting the impact of variable viscosity on surface instability.

Key Points

To investigate the linear and nonlinear wave dynamics and stability regimes of a gravity-driven power-law fluid film flowing down an inclined plane.
Formulated depth-averaged two-equation lubrication models tracking film thickness and flow rate, incorporating a Newtonian plateau at low strain rates to regulate zero-strain viscosity divergence.
Incorporated streamwise momentum diffusion and validated model performance against Orr–Sommerfeld linear stability analysis and direct numerical simulations (DNS) using weighted residual methods.
Shear-thinning promotes primary base-flow destabilization near threshold but suppresses it further from threshold due to dominant viscous damping of short waves, while shear-thickening fluids exhibit the opposite behavior.
Shear-thinning accelerates solitary waves and triggers a subcritical onset of traveling waves beyond the linear cut-off wavenumber due to reduced effective viscosity at the free surface.
Weighted residual dynamic simulations successfully capture the conditional stability and temporal wave responses verified by direct numerical simulations.

Cite This Study

Ruyer-Quil et al. (2012) studied this question.

synapsesocial.com/papers/6a8488bc002ab1506fb2bfc2 https://doi.org/10.1017/jfm.2011.508

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January 5, 2012Journal of Fluid Mechanics

Wavy regime of a power-law film flow

View Full Paper

Ask AI

Bookmark

Authors

CRChristian Ruyer-Quil SCSymphony Chakraborty BDB. S. Dandapat

Discussion

Member takes

Overview

Hydrodynamic modeling reveals non-trivial stability transitions and wave acceleration in falling power-law fluid films, highlighting the impact of variable viscosity on surface instability.

Key Points

To investigate the linear and nonlinear wave dynamics and stability regimes of a gravity-driven power-law fluid film flowing down an inclined plane.
Formulated depth-averaged two-equation lubrication models tracking film thickness and flow rate, incorporating a Newtonian plateau at low strain rates to regulate zero-strain viscosity divergence.
Incorporated streamwise momentum diffusion and validated model performance against Orr–Sommerfeld linear stability analysis and direct numerical simulations (DNS) using weighted residual methods.
Shear-thinning promotes primary base-flow destabilization near threshold but suppresses it further from threshold due to dominant viscous damping of short waves, while shear-thickening fluids exhibit the opposite behavior.
Shear-thinning accelerates solitary waves and triggers a subcritical onset of traveling waves beyond the linear cut-off wavenumber due to reduced effective viscosity at the free surface.
Weighted residual dynamic simulations successfully capture the conditional stability and temporal wave responses verified by direct numerical simulations.

Cite This Study

Ruyer-Quil et al. (2012) studied this question.

synapsesocial.com/papers/6a8488bc002ab1506fb2bfc2 https://doi.org/10.1017/jfm.2011.508

View Full Paper

Ask AI

Bookmark