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<p>This paper aims to determine the exact solutions of the magnetohydrodynamic (MHD) equations for Jeffery fluid with heat transfer. The governing nonlinear partial differential equations for an incompressible Jeffery fluid are reduced to ordinary differential equations using wave parameters. Exact solutions to the MHD flow equations of Jeffery fluid are obtained via the traveling wave methodology, which linearizes the flow equations without requiring excessive transformation. This study provides precise solutions for MHD Jeffery fluids with heat transfer, which are essential for simulation and validating data-driven results. The analytical expressions for temperature distribution and velocity components have been established for MHD Jeffery fluid flow, supported by earlier findings. Two-dimensional (2D) and three-dimensional (3D) graphical visualizations have been employed to study the effects of the spatial variable <i>x</i> and time <i>t</i> on the temperature distribution and velocity profiles of fluid motion.</p>

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On Exact Solution of MHD Jeffery Fluid Flow Equations with Heat Transfer

  • 期刊论文

  • 发表日期：

    2025年3月20日

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  • Satish Kumar,
  • Satya Deo

摘要

This paper aims to determine the exact solutions of the magnetohydrodynamic (MHD) equations for Jeffery fluid with heat transfer. The governing nonlinear partial differential equations for an incompressible Jeffery fluid are reduced to ordinary differential equations using wave parameters. Exact solutions to the MHD flow equations of Jeffery fluid are obtained via the traveling wave methodology, which linearizes the flow equations without requiring excessive transformation. This study provides precise solutions for MHD Jeffery fluids with heat transfer, which are essential for simulation and validating data-driven results. The analytical expressions for temperature distribution and velocity components have been established for MHD Jeffery fluid flow, supported by earlier findings. Two-dimensional (2D) and three-dimensional (3D) graphical visualizations have been employed to study the effects of the spatial variable x and time t on the temperature distribution and velocity profiles of fluid motion.