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<p>This research examines the steady-state, two-dimensional, incompressible magnetohydrodynamic (MHD) flow of a Casson nanofluid over a stretching plate, while considering the influences of thermal radiation, viscous dissipation, and Ohmic (Joule) heating. The nanofluid model proposed by Buongiorno is employed to capture the effects of Brownian motion and thermophoresis, and the governing partial differential equations are converted into ordinary differential equations via similarity variables. The resultant system is resolved numerically using the fourth-order Runge-Kutta method combined with a shooting technique, and the precision of the outcomes is corroborated through the application of artificial neural networks (ANNs). Quantitative findings indicate that an increase in the magnetic parameter MM from 0.2 to 1.2 results in a 38 % decrease in the velocity profile and a 61 % reduction in temperature, attributed to the amplified Lorentz force. An elevation in the Casson parameter β from 0.2 to 1.2 enhances fluid viscosity, culminating in a 32 % decline in flow velocity. Thermal radiation exerts a substantial effect on the thermal boundary layer; specifically, when R = 2, the layer thickness expands by 25 % relative to R = 0.5. The synergistic effects of Brownian motion and thermophoresis modify nanoparticle concentration, particularly under varying Prandtl numbers. For M = 1.2, the maximum skin friction coefficient attains a value of 0.846, whereas the Nusselt number diminishes to 0.231, signifying a reduction in the heat transfer rate. This study furnishes crucial insights for enhancing thermal performance in industrial applications such as cooling technologies, polymer processing, and magnetic drug targeting, where the regulation of heat and mass transfer in non-Newtonian nanofluids is of utmost importance.</p>

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Thermally radiative MHD Casson nanofluid flow over a stretching sheet with viscous and OHMIC dissipation: ANNs approach

  • 期刊论文

  • 发表日期：

    2025年11月4日

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  • G. Venkata Ramana Reddy,
  • Mohamed Kezzar,
  • Farhan Lafta Rashid,
  • Mohamed Rafik Sari,
  • Abdellatif M. Sadeq,
  • Ibrahim Mahariq

摘要

This research examines the steady-state, two-dimensional, incompressible magnetohydrodynamic (MHD) flow of a Casson nanofluid over a stretching plate, while considering the influences of thermal radiation, viscous dissipation, and Ohmic (Joule) heating. The nanofluid model proposed by Buongiorno is employed to capture the effects of Brownian motion and thermophoresis, and the governing partial differential equations are converted into ordinary differential equations via similarity variables. The resultant system is resolved numerically using the fourth-order Runge-Kutta method combined with a shooting technique, and the precision of the outcomes is corroborated through the application of artificial neural networks (ANNs). Quantitative findings indicate that an increase in the magnetic parameter MM from 0.2 to 1.2 results in a 38 % decrease in the velocity profile and a 61 % reduction in temperature, attributed to the amplified Lorentz force. An elevation in the Casson parameter β from 0.2 to 1.2 enhances fluid viscosity, culminating in a 32 % decline in flow velocity. Thermal radiation exerts a substantial effect on the thermal boundary layer; specifically, when R = 2, the layer thickness expands by 25 % relative to R = 0.5. The synergistic effects of Brownian motion and thermophoresis modify nanoparticle concentration, particularly under varying Prandtl numbers. For M = 1.2, the maximum skin friction coefficient attains a value of 0.846, whereas the Nusselt number diminishes to 0.231, signifying a reduction in the heat transfer rate. This study furnishes crucial insights for enhancing thermal performance in industrial applications such as cooling technologies, polymer processing, and magnetic drug targeting, where the regulation of heat and mass transfer in non-Newtonian nanofluids is of utmost importance.