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<p>The magnetohydrodynamic (MHD) thermosolutal convection of Casson fluid in a triangle enclosure is examined numerically. The Finite Difference Method is used to numerically solve the governing equations, which are non-dimensionalized and expressed in stream function-vorticity approach. The effects of Rayleigh number (Ra: 10<sup>3</sup>–10⁶), Hartmann number (Ha: 0–30), Casson fluid parameter (β: 0.3–∞), buoyancy ratio (Nr: –&#xa0;100 to 100), radiation parameter (Rd: 0.1–4), internal heat generation (Q: -100 to 300), Chemical reaction (Kr: 0–3), and Lewis number (Le: 1–4) are analyzed. Numerical simulations reveal that an increase in Ra from 10<sup>3</sup> to 10⁶ enhances convective transport, leading to an 87.7% rise in the average Nusselt number (Nu). In contrast, increasing Ha to 30 suppresses convective currents, reducing Nu by 47.1% due to Lorentz force damping. The Casson fluid parameter (β = 0.6) enhances Nu and Sherwood number (Sh) by 8.03% and 9.72%, respectively, emphasizing buoyancy-driven convection. A strong radiative effect (Rd = 3) significantly increases Nu by 236.3%, highlighting the dominant role of thermal radiation in high-temperature environments. The study provides a comprehensive understanding of MHD convective flow in triangular geometries, relevant to engineering applications such as crystal growth, solar collectors, and electromagnetically controlled heat exchangers.</p>

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MHD double-diffusive convection of Casson fluid in a triangular enclosure with thermal radiation and chemical reactions

  • 期刊论文

  • 发表日期：

    2025年5月6日

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  • Gandrakota Kathyayani,
  • Gattu Venkata Ramudu

摘要

The magnetohydrodynamic (MHD) thermosolutal convection of Casson fluid in a triangle enclosure is examined numerically. The Finite Difference Method is used to numerically solve the governing equations, which are non-dimensionalized and expressed in stream function-vorticity approach. The effects of Rayleigh number (Ra: 103–10⁶), Hartmann number (Ha: 0–30), Casson fluid parameter (β: 0.3–∞), buoyancy ratio (Nr: – 100 to 100), radiation parameter (Rd: 0.1–4), internal heat generation (Q: -100 to 300), Chemical reaction (Kr: 0–3), and Lewis number (Le: 1–4) are analyzed. Numerical simulations reveal that an increase in Ra from 103 to 10⁶ enhances convective transport, leading to an 87.7% rise in the average Nusselt number (Nu). In contrast, increasing Ha to 30 suppresses convective currents, reducing Nu by 47.1% due to Lorentz force damping. The Casson fluid parameter (β = 0.6) enhances Nu and Sherwood number (Sh) by 8.03% and 9.72%, respectively, emphasizing buoyancy-driven convection. A strong radiative effect (Rd = 3) significantly increases Nu by 236.3%, highlighting the dominant role of thermal radiation in high-temperature environments. The study provides a comprehensive understanding of MHD convective flow in triangular geometries, relevant to engineering applications such as crystal growth, solar collectors, and electromagnetically controlled heat exchangers.