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<p>The objective of this research is to numerically investigate the double-diffusive magnetohydrodynamic (MHD) convection of an electrically conducting Casson fluid in an irregular pentagonal cavity subjected to simultaneous thermal and solutal gradients. The governing equations for mass, momentum, energy, and species transport are solved using a&#xa0;finite difference method on a&#xa0;uniform grid, with Casson rheology, Lorentz force, nonlinear thermal radiation, and first-order chemical reaction effects incorporated. The analysis systematically examines the influence of key dimensionless parameters Rayleigh number (Ra), Hartmann number (Ha), buoyancy ratio (Nr), Lewis number (Le), thermal radiation (Rd), and Casson parameter (β) on flow, heat transfer, and mass transport characteristics. The main findings reveal that increasing Ra enhances convection significantly (Nu↑ ≈ 400%, Sh↑ ≈ 580%), while strong magnetic fields (Ha) suppress both heat and solute transport by ~50%. Radiation (Rd) reduces boundary layer thickness and improves thermal transfer (~93% increase in Nu), whereas higher β values (approaching Newtonian behavior) strengthen convective heat and solutal transport (~43% improvement). The chemical reaction parameter (Kr) mainly affects solutal transport, causing a ~1.1% decrease in Sherwood number. These results provide physical insight and design guidelines for improving performance in solar collectors, chemical reactors, cooling systems, food processing, and biomedical applications where coupled heat and mass transfer occurs in non-Newtonian media with complex geometries.</p>

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Magnetohydrodynamic Double-Diffusive Convection of Casson Fluid in an Irregular Pentagonal Cavity with Radiation and Chemical Reaction Effects

  • 期刊论文

  • 发表日期：

    2025年9月26日

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  • Gattu Venkata Ramudu,
  • Gandrakota Kathyayani,
  • K. Venkatadri

摘要

The objective of this research is to numerically investigate the double-diffusive magnetohydrodynamic (MHD) convection of an electrically conducting Casson fluid in an irregular pentagonal cavity subjected to simultaneous thermal and solutal gradients. The governing equations for mass, momentum, energy, and species transport are solved using a finite difference method on a uniform grid, with Casson rheology, Lorentz force, nonlinear thermal radiation, and first-order chemical reaction effects incorporated. The analysis systematically examines the influence of key dimensionless parameters Rayleigh number (Ra), Hartmann number (Ha), buoyancy ratio (Nr), Lewis number (Le), thermal radiation (Rd), and Casson parameter (β) on flow, heat transfer, and mass transport characteristics. The main findings reveal that increasing Ra enhances convection significantly (Nu↑ ≈ 400%, Sh↑ ≈ 580%), while strong magnetic fields (Ha) suppress both heat and solute transport by ~50%. Radiation (Rd) reduces boundary layer thickness and improves thermal transfer (~93% increase in Nu), whereas higher β values (approaching Newtonian behavior) strengthen convective heat and solutal transport (~43% improvement). The chemical reaction parameter (Kr) mainly affects solutal transport, causing a ~1.1% decrease in Sherwood number. These results provide physical insight and design guidelines for improving performance in solar collectors, chemical reactors, cooling systems, food processing, and biomedical applications where coupled heat and mass transfer occurs in non-Newtonian media with complex geometries.