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<p>This work investigates the influence of thermal&#xa0;radiation, and chemical reaction on the steady flow of Williamson MHD Nanofluid across an exponentially elongating surface inside a porous material under varied slip circumstances. The governing nonlinear PDEs are transmuted into coupled nonlinear ODEs by the application of similarity conversions, which are then numerically solved by applying the Keller box approach in conjunction with MATLAB techniques. The paper presents a comprehensive examination of the behavior of Williamson Nanofluid influenced by thermal radiation and magnetic fields in a porous media, with significant industrial implications in processing of polymers. A comprehensive parametric analysis is conducted to assess the influence of critical dimensionless quantities, such as the slip parameter, Lewis number, Eckert number, thermophoresis parameter, magnetic field strength, and Brownian motion factor, on the velocity pattern, temperature curves, and concentration distributions. The results are shown visually, providing a thorough knowledge of the interaction between these factors and their impact on the heat transport properties of the nanofluid in the designated configuration. To verify the correctness and reliability of our present study, we compared our findings with prior studies, demonstrating consistent&#xa0;agreement. The outcomes demonstrate that elevated radiation and Brownian motion factor pointedly boost the heat transmission rate in the boundary layer, but an improvement in the magnetic field factor diminishes the fluid velocity. Viscous dissipation and thermal radiation are critical in regulating the dynamics of boundary layer flow, especially in high-temperature engineering systems like gas turbines, combustion engines, and industrial furnaces. Thermal radiation serves as a principal mechanism of heat transport in these circumstances, while viscous dissipation facilitates the conversion of kinetic energy into thermal energy via internal frictional forces inside the fluid.</p>

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Analysis of thermal radiation on MHD heat transfer in Williamson nanofluid flow over an exponentially porous stretching sheet with chemical reaction and slip effects

  • 期刊论文

  • 发表日期：

    2025年6月29日

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  • M. Radhika,
  • Y. Dharmendar Reddy

摘要

This work investigates the influence of thermal radiation, and chemical reaction on the steady flow of Williamson MHD Nanofluid across an exponentially elongating surface inside a porous material under varied slip circumstances. The governing nonlinear PDEs are transmuted into coupled nonlinear ODEs by the application of similarity conversions, which are then numerically solved by applying the Keller box approach in conjunction with MATLAB techniques. The paper presents a comprehensive examination of the behavior of Williamson Nanofluid influenced by thermal radiation and magnetic fields in a porous media, with significant industrial implications in processing of polymers. A comprehensive parametric analysis is conducted to assess the influence of critical dimensionless quantities, such as the slip parameter, Lewis number, Eckert number, thermophoresis parameter, magnetic field strength, and Brownian motion factor, on the velocity pattern, temperature curves, and concentration distributions. The results are shown visually, providing a thorough knowledge of the interaction between these factors and their impact on the heat transport properties of the nanofluid in the designated configuration. To verify the correctness and reliability of our present study, we compared our findings with prior studies, demonstrating consistent agreement. The outcomes demonstrate that elevated radiation and Brownian motion factor pointedly boost the heat transmission rate in the boundary layer, but an improvement in the magnetic field factor diminishes the fluid velocity. Viscous dissipation and thermal radiation are critical in regulating the dynamics of boundary layer flow, especially in high-temperature engineering systems like gas turbines, combustion engines, and industrial furnaces. Thermal radiation serves as a principal mechanism of heat transport in these circumstances, while viscous dissipation facilitates the conversion of kinetic energy into thermal energy via internal frictional forces inside the fluid.