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<p>In this study, the heat transfer characteristics and stability of magneto-Williamson nanofluid within an inclined stretching cylinder have several engineering uses, including nuclear reactors, solar collectors, electronic component cooling, gas turbines, chemical industries, and heat exchangers, due to their higher thermal transport rate. Various fluid relations have been proposed to characterize the properties of nonlinear materials. Williamson is one of the fluid models that indicates shear-thinning. The nanofluid model has considered the significant effects of Brownian and thermophoretic motion. Additionally, electricity is generated in the presence of a magnetic field. The coupled nonlinear reduced equations governing the flow pattern are invoked numerically by utilizing the bvp4c solver in MATLAB. The optimization approach is employed via response surface methodology (RSM) for the important parameters, such as the curvature parameter, unsteadiness parameter, and thermal radiation parameter, on the heat transport rate. The velocity is a declining function of the Weissenberg number and magnetic parameter. The thermal and solutal distribution escalates with a thermophoretic parameter. Furthermore, the thermal transport rate is more sensitive to the thermal radiation parameter evaluated with the unsteadiness parameter and the curvature parameter.</p>

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Magnetohydrodynamic and thermal radiation effects with stability analysis on shear-thinning Williamson nanofluid by using response surface methodology

  • 期刊论文

  • 发表日期：

    2025年8月26日

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  • M. Israr Ur Rehman,
  • Aamir Hamid,
  • Wang Xiaoping,
  • Haitao Qi

摘要

In this study, the heat transfer characteristics and stability of magneto-Williamson nanofluid within an inclined stretching cylinder have several engineering uses, including nuclear reactors, solar collectors, electronic component cooling, gas turbines, chemical industries, and heat exchangers, due to their higher thermal transport rate. Various fluid relations have been proposed to characterize the properties of nonlinear materials. Williamson is one of the fluid models that indicates shear-thinning. The nanofluid model has considered the significant effects of Brownian and thermophoretic motion. Additionally, electricity is generated in the presence of a magnetic field. The coupled nonlinear reduced equations governing the flow pattern are invoked numerically by utilizing the bvp4c solver in MATLAB. The optimization approach is employed via response surface methodology (RSM) for the important parameters, such as the curvature parameter, unsteadiness parameter, and thermal radiation parameter, on the heat transport rate. The velocity is a declining function of the Weissenberg number and magnetic parameter. The thermal and solutal distribution escalates with a thermophoretic parameter. Furthermore, the thermal transport rate is more sensitive to the thermal radiation parameter evaluated with the unsteadiness parameter and the curvature parameter.