The Effects of Soret on Steady State Magnetohydrodynamic Heat Transfer Flow of Jeffrey Nanofluid with Nonlinear Thermal Radiation

Authors

  • Williams Michael Usmanu Danfodio University, Sokoto
  • Christie Yemisi Ishola National Open University of Nigeria image/svg+xml
  • Yakubu Bello Air Force Institute of Technology, Kaduna, Nigeria.
  • Zainab Dogondaji Abubakar Sokoto State University image/svg+xml
  • Ayuba Adams National Open University of Nigeria image/svg+xml

DOI:

https://doi.org/10.33003/fjs-2026-1017-5885

Keywords:

Porous Material, Thermophoresis, Thermodiffusion, Nonlinear Thermal Radiation, Heat Source-Sink

Abstract

The study investigated how thermo diffusion alters fluid properties, the heat absorption capacity of permeable media, the stability of MHD heat transfer in Jeffrey nanofluid under convective boundary conditions, and key dimensionless factors governing the flow. The mathematical model was initially transformed into ordinary differential equations via Lie symmetry group renovation. These renovated equations were then numerically solved using a bvp4c MATLAB solver, with outcomes presented through graphs and tables. The porosity, magnetic and Jeffrey parameters notably diminish the velocity of Jeffrey nanofluid. Significant enhancements in temperature flow were observed with the inclusion of nonlinear thermal radiation, heat source-sink parameters, and the Biot number. Additionally, the Soret parameter positively influences mass transfer, while the Lewis number and chemical reaction parameters act as stabilizing factors. Considering the unique properties of Jeffrey fluids in conjunction with nanomaterials, the findings of this study are anticipated to hold practical significance in industries such as polymer, metallurgy, chemicals, and automobiles.

Author Biographies

  • Christie Yemisi Ishola, National Open University of Nigeria

    Department Mathematics, National Open University of Nigeria.

    Rank: Reader 

  • Yakubu Bello, Air Force Institute of Technology, Kaduna, Nigeria.

    Department of Mathematics and Statistics, 

    Rank Assistant Lecturer

  • Zainab Dogondaji Abubakar, Sokoto State University

    Department of Mathematics

    Rank Lecturer I

  • Ayuba Adams, National Open University of Nigeria

    Department of Mathematics

    Rank: Lecturer II

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Geometry of the Flow for Porous Stretching Sheet

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Published

21-09-2026

How to Cite

Michael, W., Ishola, C. Y., Bello, Y., Abubakar, Z. . D., & Adams, A. (2026). The Effects of Soret on Steady State Magnetohydrodynamic Heat Transfer Flow of Jeffrey Nanofluid with Nonlinear Thermal Radiation. FUDMA Journal of Sciences, 10(17), 74-85. https://doi.org/10.33003/fjs-2026-1017-5885

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