What does this research mean for the field?

Interfacial heat and mass transfer and the Froude number stabilize the Rayleigh-Taylor instability between a couple stress fluid and a Newtonian viscous fluid, while the Reynolds, Weber, and Atwood numbers promote instability. Novelty: ClaimNovelty.NOVEL_FINDING. Consensus alignment: ConsensusAlignment.SUPPORTS_CONSENSUS.

What question did this study set out to answer?

To investigate the Rayleigh–Taylor instability at the planar interface between an upper couple stress fluid and a lower porous-embedded Newtonian viscous fluid subjected to interfacial heat and mass transfer.

September 14, 2026International Journal of Numerical Methods for Heat &amp Fluid Flow

Interfacial Rayleigh-Taylor instability of couple stress and Newtonian viscous fluids: effects of heat and mass transfer

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Authors

SYSatyendra Yadav PYPramod Kumar Yadav

Discussion

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Overview

Theoretical analysis demonstrates that heat and mass transfer stabilize interfaces between couple stress and Newtonian fluids, suggesting strategies to regulate mixing in petroleum reservoirs.

Key Points

To investigate the Rayleigh–Taylor instability at the planar interface between an upper couple stress fluid and a lower porous-embedded Newtonian viscous fluid subjected to interfacial heat and mass transfer.
Formulated the system in a rectangular channel using the Brinkman extension of Darcy's law for the lower porous region saturated with Newtonian fluid.
Applied viscous potential flow theory and normal mode analysis to derive a second-order dispersion relation connecting perturbation growth rate with wave number.
Solved the dispersion relation numerically using the Newton–Raphson method and validated the formulation against classical Newtonian limits.
Interfacial heat and mass transfer alongside higher Froude numbers stabilize the fluid interface by suppressing perturbation growth rates.
Increases in Reynolds number, Weber number, Atwood number, and couple stress layer thickness promote interfacial instability.

Cite This Study

Yadav et al. (2026) studied this question.

synapsesocial.com/papers/6aa7b3df0926e14a848b32a0 https://doi.org/10.1108/hff-07-2026-0917

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September 14, 2026International Journal of Numerical Methods for Heat &amp Fluid Flow

Interfacial Rayleigh-Taylor instability of couple stress and Newtonian viscous fluids: effects of heat and mass transfer

View Full Paper

Ask AI

Bookmark

Authors

SYSatyendra Yadav PYPramod Kumar Yadav

Discussion

Member takes

Overview

Theoretical analysis demonstrates that heat and mass transfer stabilize interfaces between couple stress and Newtonian fluids, suggesting strategies to regulate mixing in petroleum reservoirs.

Key Points

To investigate the Rayleigh–Taylor instability at the planar interface between an upper couple stress fluid and a lower porous-embedded Newtonian viscous fluid subjected to interfacial heat and mass transfer.
Formulated the system in a rectangular channel using the Brinkman extension of Darcy's law for the lower porous region saturated with Newtonian fluid.
Applied viscous potential flow theory and normal mode analysis to derive a second-order dispersion relation connecting perturbation growth rate with wave number.
Solved the dispersion relation numerically using the Newton–Raphson method and validated the formulation against classical Newtonian limits.
Interfacial heat and mass transfer alongside higher Froude numbers stabilize the fluid interface by suppressing perturbation growth rates.
Increases in Reynolds number, Weber number, Atwood number, and couple stress layer thickness promote interfacial instability.

Cite This Study

Yadav et al. (2026) studied this question.

synapsesocial.com/papers/6aa7b3df0926e14a848b32a0 https://doi.org/10.1108/hff-07-2026-0917

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