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<p>The current study deliberate about the influence of nanoparticles under natural convection of fluids in anisotropic layer of porous medium. The manners of the nanofluid is appeared through the fluid model (Jeffrey). Here Darcy law is followed. Effects of Brownian motion and Thermophoresis are united into this model. Due to the presence of nanoparticles, anisotropic parameter and Jeffrey number,the momentum-balance equation of fluid is modified. The free-free boundaries are used in this model. Galerkin Weighted Residuals Method (GWRM) and normal mode analysis are applied to evaluate the eigenvalue problem. Software Mathematica is used to draw the results. The effects of parameters like Jeffrey, anisotropic, diffusivity modified ratio, thermal Rayleigh number, Lewis, and porosity are investigated. Some parameters shows the stabilizing effect whereas rest of the others destabilizes the considered system.The outcomes are also presented in graphs.</p>

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A non-Newtonian nanofluid under natural convection permeated by anisotropic porous layer: Jeffrey model

  • 期刊论文

  • 发表日期：

    2026年7月30日

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  • Poonam Kumari Gautam,
  • G. C. Rana,
  • Manpal Singh

摘要

The current study deliberate about the influence of nanoparticles under natural convection of fluids in anisotropic layer of porous medium. The manners of the nanofluid is appeared through the fluid model (Jeffrey). Here Darcy law is followed. Effects of Brownian motion and Thermophoresis are united into this model. Due to the presence of nanoparticles, anisotropic parameter and Jeffrey number,the momentum-balance equation of fluid is modified. The free-free boundaries are used in this model. Galerkin Weighted Residuals Method (GWRM) and normal mode analysis are applied to evaluate the eigenvalue problem. Software Mathematica is used to draw the results. The effects of parameters like Jeffrey, anisotropic, diffusivity modified ratio, thermal Rayleigh number, Lewis, and porosity are investigated. Some parameters shows the stabilizing effect whereas rest of the others destabilizes the considered system.The outcomes are also presented in graphs.