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<p>Non-Newtonian materials like the Jeffery fluid model (JFM) are crucial in many industries, such as food and fiber optics. In this analysis, a mathematical framework is proposed to describe the performance of a two-dimensional magnetohydrodynamic Jeffery flow model (MHD-JFM) across an exponential and contracting sheet under the influence of destructive and generative chemical reactions. To facilitate this analysis, a couple of difference equations is transformed into ordinary equations by applying the resemblance alteration. To obtain a numerical solution for the various fields of interest, namely velocity components and mass transfer at the surface (MTS), the bvp4c method is employed. The ground-breaking aspect of this study lies in its meticulous examination of the influence and stability of the Lorentz force on Jeffery fluid, particularly in the context of extending or contracting sheets that experience internal heat transfer as well as destructive and generative chemical reactions. Remarkably, such a comprehensive investigation has not yet been undertaken in the existing literature. Consequently, the present work is validated by comparing with available work. A stability investigation is conducted to ensure the reliability of the first solution. Through the utilization of graphs, the impact of factors like the Schmidt number, Hartmann number, destructive and generative chemical reaction factor, and Deborah numbers on the velocity component and mass transfer is thoroughly examined and discussed. It is investigated that mass transfer surfaces are a diminishing function of Deborah numbers. It has been detected that as the magnitude of <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\:{{\Omega\:}}_{1}\)</EquationSource> </InlineEquation> escalates from 0.2 to 0.8, the velocity contours exhibit a declining trend across the boundary layer. A decreasing behaviour is observed for the velocity profiles as the quantities of Hartmann number enhances from 0.2 to 0.6. It can be observed that mass transfer exhibits a diminishing trend in response to destructive chemical reactions, whereas mass transfer experiences an increasing trend for generative chemical reactions.</p>

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Numerical analysis of Jeffery fluid flow over shrinking/stretching sheet with magnetic and chemical effects: mass transfer and stability analysis

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月9日

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  • Zeeshan,
  • Waris Khan,
  • Muhammed I. Syam,
  • Ali Rehman,
  • Shah Hussain,
  • Bashir Salah

摘要

Non-Newtonian materials like the Jeffery fluid model (JFM) are crucial in many industries, such as food and fiber optics. In this analysis, a mathematical framework is proposed to describe the performance of a two-dimensional magnetohydrodynamic Jeffery flow model (MHD-JFM) across an exponential and contracting sheet under the influence of destructive and generative chemical reactions. To facilitate this analysis, a couple of difference equations is transformed into ordinary equations by applying the resemblance alteration. To obtain a numerical solution for the various fields of interest, namely velocity components and mass transfer at the surface (MTS), the bvp4c method is employed. The ground-breaking aspect of this study lies in its meticulous examination of the influence and stability of the Lorentz force on Jeffery fluid, particularly in the context of extending or contracting sheets that experience internal heat transfer as well as destructive and generative chemical reactions. Remarkably, such a comprehensive investigation has not yet been undertaken in the existing literature. Consequently, the present work is validated by comparing with available work. A stability investigation is conducted to ensure the reliability of the first solution. Through the utilization of graphs, the impact of factors like the Schmidt number, Hartmann number, destructive and generative chemical reaction factor, and Deborah numbers on the velocity component and mass transfer is thoroughly examined and discussed. It is investigated that mass transfer surfaces are a diminishing function of Deborah numbers. It has been detected that as the magnitude of \(\:{{\Omega\:}}_{1}\) escalates from 0.2 to 0.8, the velocity contours exhibit a declining trend across the boundary layer. A decreasing behaviour is observed for the velocity profiles as the quantities of Hartmann number enhances from 0.2 to 0.6. It can be observed that mass transfer exhibits a diminishing trend in response to destructive chemical reactions, whereas mass transfer experiences an increasing trend for generative chemical reactions.