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April 10, 2026Results in EngineeringOpen Access

Unsteady MHD Flow of a Casson Fluid over a Melting Surface Modeling using Conformable Fractional Derivatives and Variable Thermal Conductivity

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Authors

NSNaresh Kumar SainiAPAmit ParmarRCRakesh Choudhary

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Overview

Models unsteady MHD flow in a Casson fluid, revealing impacts on heat and mass transfer in porous media.

Key Points

  • To investigate the unsteady MHD melting flow of a Casson fluid using fractional derivatives, accounting for nonlinear effects.
  • Utilized fractional Casson model to capture memory effects.
  • Incorporated nonlinear radiation and chemical reaction effects.
  • Transformed governing PDEs into a system of nonlinear ODEs using similarity methods.
  • Solved the boundary value problem using bvp4c with shooting strategy.
  • Analyzed velocity, temperature, and concentration changes based on varying parameters.
  • Increased magnetic field strength reduces velocity while increasing temperature and concentration.
  • Higher permeability parameter results in a slight increase in temperature and concentration but reduces velocity.
  • The flow, heat, and mass transfer properties are significantly affected by magnetic and porous resistances.

Cite This Study

Saini et al. (2026) studied this question.

synapsesocial.com/papers/69d8930e6c1944d70ce041edhttps://doi.org/10.1016/j.rineng.2026.110346
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