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February 28, 2026MathematicsOpen Access

Nonlinear Magnetoconvection of a Power-Law Fluid Saturated Porous Layer

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Authors

SRS. Suresh Kumar RajuGRG. Shiva Kumar Reddy

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Overview

This article examines thermohaline stability of a power-law fluid in porous layers, suggesting implications for heat and mass transfer efficiency.

Key Points

  • This research investigates the stability of power-law fluids in porous layers under a magnetic field.
  • Analyzed stability using linear and weakly nonlinear instability theories.
  • Applied Galerkin method to derive analytical expressions for Rayleigh numbers.
  • Identified Takens–Bogdanov and Hopf bifurcation points.
  • Derived amplitude equation in weakly nonlinear regime to explore transport characteristics.
  • Increased Hartmann number delays convection onset.
  • Critical Rayleigh number increases with solute Rayleigh number.
  • Critical Rayleigh number shows non-monotonic behavior with Peclet number.
  • Higher Hartmann, Lewis, and Peclet numbers enhance heat and mass transport, while solute Rayleigh number has the opposite effect.

Cite This Study

Raju et al. (2026) studied this question.

synapsesocial.com/papers/69a286da0a974eb0d3c021d3https://doi.org/10.3390/math14050770
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