August 1, 2025Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences

Nonmodal stability analysis of the plane Poiseuille flow in a multi-layer porous–fluid channel

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SKSupriya KarmakarIndian Institute of Technology Madras PSPriyanka ShuklaIndian Institute of Technology Madras

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Implication

Nonmodal analysis shows transient growth in flow stability at subcritical Reynolds number in porous channels, indicating the influence of wall parameters.

Key Points

Transient growth of kinetic energy occurs in the plane poiseuille flow of a multi-layer porous channel.
The study identifies the effects of anisotropic permeability on the stability of flow, where certain parameters can stabilize or destabilize it.
Modal analysis shows a notable difference in critical Reynolds number versus energy method results, suggesting significant transient growth.
Receptivity analysis reveals that flow response to disturbances is enhanced by manipulating the depth ratio and mean permeability.

Cite This Study

Karmakar et al. (2025) studied this question.

synapsesocial.com/papers/68af55dead7bf08b1eadca36 https://doi.org/10.1098/rspa.2024.0745

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Implication

Nonmodal analysis shows transient growth in flow stability at subcritical Reynolds number in porous channels, indicating the influence of wall parameters.

Nonmodal stability analysis of the plane Poiseuille flow in a multi-layer porous–fluid channel

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Implication

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Cite This Study

Nonmodal stability analysis of the plane Poiseuille flow in a multi-layer porous–fluid channel

Discussion

Member takes

Implication

Key Points

Cite This Study

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