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<p>Conical disk systems play a crucial role in biomedical engineering, rheometer, viscometry, and advanced thermal devices due to their ability to regulate flow and transport processes. In this study, we investigate the nonlinear behavior of tangent hyperbolic nanofluid flow across an inclined conical disk configuration, which uniquely combines a stretchable disk with a rotatable cone under the influence of magnetohydrodynamic (MHD) effects. By employing similarity transformations, the governing nonlinear partial differential equations are reduced to a system of dimensionless ordinary differential equations, which are then solved numerically using MATLAB’s boundary value solver <i>bvp</i>5<i>c</i>. To further improve computational efficiency and predictive capability, a feed-forward backpropagation neural network is trained on the numerical results for heat and mass transfer rates. The results demonstrate that increasing the disk inclination angle intensifies radial flow, while simultaneously reducing thermal and solutal transfer rates by 34.47% and 13.12%, respectively. Moreover, thermal transfer is found to be convection-dominated on the conical surface, whereas conduction governs the disk surface.These findings provide new insights into the nonlinear MHD transport characteristics of tangent hyperbolic nanofluids and highlight the potential of the proposed configuration for optimizing flow and energy transfer in biomedical devices, conical diffusers, and thermal management systems.</p>

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Non-Newtonian hydromagnetic nanofluid flow past an inclined conical disk system

  • 期刊论文

  • 发表日期：

    2026年7月21日

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  • JYOTI PRAKASH SHARMA,
  • RAKESH KUMAR,
  • PARAS RAM,
  • KUPPALAPALLE VAJRAVELU

摘要

Conical disk systems play a crucial role in biomedical engineering, rheometer, viscometry, and advanced thermal devices due to their ability to regulate flow and transport processes. In this study, we investigate the nonlinear behavior of tangent hyperbolic nanofluid flow across an inclined conical disk configuration, which uniquely combines a stretchable disk with a rotatable cone under the influence of magnetohydrodynamic (MHD) effects. By employing similarity transformations, the governing nonlinear partial differential equations are reduced to a system of dimensionless ordinary differential equations, which are then solved numerically using MATLAB’s boundary value solver bvp5c. To further improve computational efficiency and predictive capability, a feed-forward backpropagation neural network is trained on the numerical results for heat and mass transfer rates. The results demonstrate that increasing the disk inclination angle intensifies radial flow, while simultaneously reducing thermal and solutal transfer rates by 34.47% and 13.12%, respectively. Moreover, thermal transfer is found to be convection-dominated on the conical surface, whereas conduction governs the disk surface.These findings provide new insights into the nonlinear MHD transport characteristics of tangent hyperbolic nanofluids and highlight the potential of the proposed configuration for optimizing flow and energy transfer in biomedical devices, conical diffusers, and thermal management systems.