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Reaction-induced Kelvin–Helmholtz instability in a layered channel flow

Published online by Cambridge University Press:  19 January 2023

Surya Narayan Maharana Open the ORCID record for Surya Narayan Maharana [Opens in a new window] ,
Kirti Chandra Sahu Open the ORCID record for Kirti Chandra Sahu [Opens in a new window]  and
Manoranjan Mishra Open the ORCID record for Manoranjan Mishra [Opens in a new window]
Surya Narayan Maharana
Affiliation:
Department of Mathematics, Indian Institute of Technology Ropar, 140001 Rupnagar, India
Kirti Chandra Sahu
Affiliation:
Department of Chemical Engineering, Indian Institute of Technology Hyderabad, Kandi 502284, Sangareddy, Telangana, India
Manoranjan Mishra*
Affiliation:
Department of Mathematics, Indian Institute of Technology Ropar, 140001 Rupnagar, India
*
†Email address for correspondence: manoranjan@iitrpr.ac.in
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Abstract

We show that a vertical viscosity stratification at a localized region caused by a chemical reaction yields an inconspicuous shear layer. A chemo-hydrodynamic Kelvin–Helmholtz instability or cat-eye-shaped morphology develops at one reaction front, while the other front diffuses steadily over time. Through linear stability and nonlinear simulations, the existence of such instabilities is established if the log-mobility ratio exceeds a critical value. We find unique scalings between the stable and unstable zones that demonstrate how the influence of variations in solute diffusion on instability can be eliminated. The observed unstable patterns agree with existing experimental results.

JFM classification

Instability: Shear-flow instability Mass Transport: Coupled diffusion and flow Multiphase and Particle-laden Flows: Reacting multiphase flow
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 955 , 25 January 2023 , A36
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Copyright
© The Author(s), 2023. Published by Cambridge University Press

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References

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