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<p>The two-dimensional, steady, incompressible, laminar boundary-layer flow of an electrically conducting fluid over a moving wedge and stretching sheet with an applied electric and magnetic field was modeled. The governing Navier-Stokes equations were transformed into a nonlinear differential equation through appropriate similarity transformations, and the Haar wavelet quasilinearization method was utilized to compute the numerical solution. Values of the skin friction coefficient and plots of the velocity profiles were obtained for different flow parameters. The application of both electric and magnetic fields exhibited a damping effect on the velocity profile and notably influenced the skin friction coefficient. The numerical results obtained from the solution were utilized for the sensitivity analysis using the Response Surface Methodology. Relevant correlations were established between the input parameters and the skin friction coefficients for the stretching sheet and wedge cases. The sensitivity analysis further quantified the relative influence of each parameter on the flow characteristics. The detailed results are presented in the form of tables and graphs, and further directions are provided.</p>

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Sensitivity and numerical analysis of the general unified 2D EMHD laminar boundary-layer flow using Haar wavelets

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年3月30日

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  • Joel Picardo,
  • Sharath Kumar Shettigar,
  • Harinakshi Karkera,
  • Nagaraj Nagesh Katagi

摘要

The two-dimensional, steady, incompressible, laminar boundary-layer flow of an electrically conducting fluid over a moving wedge and stretching sheet with an applied electric and magnetic field was modeled. The governing Navier-Stokes equations were transformed into a nonlinear differential equation through appropriate similarity transformations, and the Haar wavelet quasilinearization method was utilized to compute the numerical solution. Values of the skin friction coefficient and plots of the velocity profiles were obtained for different flow parameters. The application of both electric and magnetic fields exhibited a damping effect on the velocity profile and notably influenced the skin friction coefficient. The numerical results obtained from the solution were utilized for the sensitivity analysis using the Response Surface Methodology. Relevant correlations were established between the input parameters and the skin friction coefficients for the stretching sheet and wedge cases. The sensitivity analysis further quantified the relative influence of each parameter on the flow characteristics. The detailed results are presented in the form of tables and graphs, and further directions are provided.