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<p>We investigated the flow characteristics of Casson fluid over a vertical stretching sheet, considering a steady, incompressible, and laminar boundary layer. The rheological behavior of the non-Newtonian fluid is modeled using the Casson fluid framework, while the energy equation accounts for thermal radiation via the Rosseland approximation and incorporates variable thermal conductivity. A uniform magnetic field is applied perpendicularly to examine its influence on flow behavior, along with the Soret and Dufour effects to capture the coupled impact of thermal and concentration gradients. The governing nonlinear partial differential equations are transformed into nondimensional forms using appropriate transformations. A generalized model is developed using the Caputo fractional derivative via the Taylor series approach, and the fractional-order system is solved using the finite difference method. Results highlight the significant influence of key parameters, including the Casson parameter, thermal radiation, variable thermal conductivity, and Soret and Dufour numbers, on velocity, temperature, and concentration profiles. The findings demonstrate that increasing the Casson parameter enhances velocity, while thermal radiation and variable thermal conductivity strongly affect heat transfer rates. The study provides insights into optimizing flow control and heat transfer in industrial and engineering applications.</p>

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Fractional analysis of thermo-diffusion and diffusion-thermo effects in a magnetized radiative casson fluid flow over a vertical stretching sheet

  • 期刊论文

  • 发表日期：

    2025年4月24日

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  • Syeda Alishwa Zanib,
  • Lubaba Yaseen,
  • Nadeem Abbas,
  • Wasfi Shatanawi

摘要

We investigated the flow characteristics of Casson fluid over a vertical stretching sheet, considering a steady, incompressible, and laminar boundary layer. The rheological behavior of the non-Newtonian fluid is modeled using the Casson fluid framework, while the energy equation accounts for thermal radiation via the Rosseland approximation and incorporates variable thermal conductivity. A uniform magnetic field is applied perpendicularly to examine its influence on flow behavior, along with the Soret and Dufour effects to capture the coupled impact of thermal and concentration gradients. The governing nonlinear partial differential equations are transformed into nondimensional forms using appropriate transformations. A generalized model is developed using the Caputo fractional derivative via the Taylor series approach, and the fractional-order system is solved using the finite difference method. Results highlight the significant influence of key parameters, including the Casson parameter, thermal radiation, variable thermal conductivity, and Soret and Dufour numbers, on velocity, temperature, and concentration profiles. The findings demonstrate that increasing the Casson parameter enhances velocity, while thermal radiation and variable thermal conductivity strongly affect heat transfer rates. The study provides insights into optimizing flow control and heat transfer in industrial and engineering applications.