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<p>Within this article, the MHD of the fractionalized unsteady 3D flow of couple stress fluid in a porous medium with heat transmission has been inspected. The governing equation drive from partial differential equations of nonlinear type are modified into differential equations of ordinary type by fractional wave parameter <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\left( \lambda = ar_{1} + br_{2} + cr_{3} + \frac{\Omega t^{\beta }}{\Gamma (\beta +1)}\right) \)</EquationSource> </InlineEquation>. The technique of traveling type wave solution is carried out for getting the exact solutions of the equations. Here the exact solutions are determined for the three diverse circumstances. As a specific case, in a porous medium, the MHD Newtonian fluid outcomes can be achieved by the conventional solution by putting <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\( \eta \rightarrow 0\)</EquationSource> </InlineEquation>. Finally, the graphical interpretations have examined for velocity field components of the different boundaries of consequence.</p>

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Fractionalized MHD Couple Stress Fluid in Porous Medium with Heat Transmission: Some General Traveling Wave Solutions

  • 期刊论文

  • 发表日期：

    2025年8月21日

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  • Arsalan Ahmed,
  • Muhammad Jamil,
  • Ilyas Khan

摘要

Within this article, the MHD of the fractionalized unsteady 3D flow of couple stress fluid in a porous medium with heat transmission has been inspected. The governing equation drive from partial differential equations of nonlinear type are modified into differential equations of ordinary type by fractional wave parameter \(\left( \lambda = ar_{1} + br_{2} + cr_{3} + \frac{\Omega t^{\beta }}{\Gamma (\beta +1)}\right) \) . The technique of traveling type wave solution is carried out for getting the exact solutions of the equations. Here the exact solutions are determined for the three diverse circumstances. As a specific case, in a porous medium, the MHD Newtonian fluid outcomes can be achieved by the conventional solution by putting \( \eta \rightarrow 0\) . Finally, the graphical interpretations have examined for velocity field components of the different boundaries of consequence.