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Analysis of magnetized Rayleigh–Taylor instability in nanofluids through porous medium

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Abstract

The current study introduces the Rayleigh–Taylor instability of two overlaying nanofluids (horizontally) possessing different densities with the magnetic field in the porous media. A set of conservation equations including the parameters like volume concentration of nanofluids, surface tension, magnetic field, porosity, and permeability has been formed and further set to infinitesimal perturbation incorporating density, velocity, pressure, and potency of nanoparticles. A related dispersion relation has been derived using the normal mode method, which is further investigated with stable and unstable modes of the system. As an individual varying parameter, magnetic field and surface tension draw the stability in configuration while porosity, the potency of nanoparticles, and permeability accelerate the instability. Here, significant impact is observed while keeping the volume fraction of nanoparticles and magnetic force with the rest of varying parameters in increasing or decreasing order simultaneously. The stronger influences of these combined variations have been depicted by taking suitable numerical values of these parameters. The role of the volume fraction of nanoparticles seems to be more intensified when it is taken as a varying parameter along with varying values of other parameters. A comprehensive presentation has been made, incorporating all the insightful facts through tables and graphs. It is observed that some parameters have a stabilizing impact on the unstable mode of RTI individually. However, their various combinations draw a powerful impact on destabilizing or stabilizing the configuration as critical values of growth rate meet an excellent rise or reduction.

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Authors and Affiliations

  1. Research Scholar, Department of Mathematics, NIILM University, Kaithal, Haryana, India

    Pooja Girotra

  2. Department of Mathematics, Post Graduate Government College, Sector-11, Chandigarh, India

    Jyoti Ahuja

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  1. Pooja Girotra
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  2. Jyoti Ahuja
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Correspondence to Jyoti Ahuja.

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Girotra, P., Ahuja, J. Analysis of magnetized Rayleigh–Taylor instability in nanofluids through porous medium. Comp. Appl. Math. 42, 160 (2023). https://doi.org/10.1007/s40314-023-02291-0

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  • DOI: https://doi.org/10.1007/s40314-023-02291-0

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