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<p>Material modeling involving chemical reactions demands substantial energy input, particularly in processes such as chemical vapor deposition and chemical liquid deposition, which are widely utilized in the fabrication of diodes, transistors, metallic-glass coatings, and gas-barrier layers. Owing to their industrial importance, understanding the complex fluid behavior associated with these thermochemical processes is essential. Motivated by these considerations, the present study aims to investigate the influence of slip effects, activation energy, Ohmic dissipation, and Darcy–Forchheimer resistance on the spinning flow of shear-thinning materials over a magnetized rotating disk. The governing physical phenomena are formulated through a system of nonlinear partial differential equations that describe the momentum, thermal, concentration, and pressure fields. These equations are numerically solved using the modified three-stage Lobatto method to ensure high accuracy in capturing the underlying flow characteristics. The numerical findings show that increasing the magnetic parameter significantly suppresses both radial and tangential velocity components, while the Forchheimer factor leads to a further reduction in radial flow due to enhanced porous medium drag. Moreover, elevated values of the magnetic parameter and Forchheimer number diminish the primary velocity gradient yet amplify the secondary velocity gradient, indicating a dynamic trade-off in velocity responses. Higher material parameters and Eckert number are associated with increased temperature and pressure levels, whereas enhanced reaction rates result in reduced concentration profiles. The numerical approach is validated through a close agreement with benchmark data. The study provides valuable insights into the interplay between magnetic&#xa0;field, porous media, and thermochemical effects in shear-thinning fluid systems, and&#xa0;offers relevant implications for optimizing industrial material-processing operations.</p>

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Spinning motion of electrically conducting shear-thinning fluid in a Darcy–Forchheimer medium

  • 期刊论文

  • 发表日期：

    2026年1月9日

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  • Latif Ahmad,
  • Hafiz Ur Rahman,
  • Saleem Javed,
  • Mahnoor Sarfraz,
  • Assmaa Abd-Elmonem,
  • Samah Abdelati Haroun

摘要

Material modeling involving chemical reactions demands substantial energy input, particularly in processes such as chemical vapor deposition and chemical liquid deposition, which are widely utilized in the fabrication of diodes, transistors, metallic-glass coatings, and gas-barrier layers. Owing to their industrial importance, understanding the complex fluid behavior associated with these thermochemical processes is essential. Motivated by these considerations, the present study aims to investigate the influence of slip effects, activation energy, Ohmic dissipation, and Darcy–Forchheimer resistance on the spinning flow of shear-thinning materials over a magnetized rotating disk. The governing physical phenomena are formulated through a system of nonlinear partial differential equations that describe the momentum, thermal, concentration, and pressure fields. These equations are numerically solved using the modified three-stage Lobatto method to ensure high accuracy in capturing the underlying flow characteristics. The numerical findings show that increasing the magnetic parameter significantly suppresses both radial and tangential velocity components, while the Forchheimer factor leads to a further reduction in radial flow due to enhanced porous medium drag. Moreover, elevated values of the magnetic parameter and Forchheimer number diminish the primary velocity gradient yet amplify the secondary velocity gradient, indicating a dynamic trade-off in velocity responses. Higher material parameters and Eckert number are associated with increased temperature and pressure levels, whereas enhanced reaction rates result in reduced concentration profiles. The numerical approach is validated through a close agreement with benchmark data. The study provides valuable insights into the interplay between magnetic field, porous media, and thermochemical effects in shear-thinning fluid systems, and offers relevant implications for optimizing industrial material-processing operations.