Fractional Calculus-Based Analysis of Magneto-Thermal Nanofluid Flow Over Stretching and Shrinking Surfaces

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Year : 2026 | Volume : 13 | 02 | Page :
    By

    Bibhu Prasad Ganthia,

  • Subash Ranjan Kabat,

  1. Assistant Professor, Department of Electrical Engineering, Indira Gandhi Institute of Technology, Sarang, Dhenkanal, Odisha, India
  2. Professor and Principal, Department of Electrical Engineering, Radhakrishna Institute of Technology and Engineering, Bhubaneswar, Odisha, India

Abstract

This study presents a comprehensive investigation of magneto-thermal hybrid nanofluid flow over stretching and shrinking surfaces using a fractional calculus framework to capture the memory and hereditary characteristics of complex fluid transport phenomena. The proposed model incorporates the effects of magnetic field intensity, thermal radiation, viscous dissipation, Brownian motion, and thermophoretic diffusion on the velocity and temperature distributions within the boundary layer region. A fractional-order derivative formulation is employed to provide a more realistic representation of anomalous heat and momentum transport compared with conventional integer-order models. The controlling nonlinear partial differential equations are transformed into coupled ordinary differential equations via similarity transformations, and an effective computational approach is used to solve these equations numerically. The influence of fractional order parameters, Hartmann number, nanoparticle volume fraction, and stretching/shrinking rates on skin friction coefficient and Nusselt number is analysed in detail. Results reveal that increasing magnetic field strength suppresses fluid velocity while enhancing thermal boundary layer thickness, whereas fractional parameters significantly modify the transport characteristics due to memory effects. The findings demonstrate the potential applicability of fractional nanofluid models in advanced cooling systems, microfluidic devices, solar thermal collectors, and energy transport technologies, thereby improving predictive accuracy for practical engineering applications significantly overall.

Keywords: Fractional Calculus, Magneto-Thermal Flow, Hybrid Nanofluids, Stretching Surface, Shrinking Surface, Thermal Radiation, Magnetohydrodynamics (MHD), Heat Transfer.

How to cite this article:
Bibhu Prasad Ganthia, Subash Ranjan Kabat. Fractional Calculus-Based Analysis of Magneto-Thermal Nanofluid Flow Over Stretching and Shrinking Surfaces. Recent Trends in Fluid Mechanics. 2026; 13(02):-.
How to cite this URL:
Bibhu Prasad Ganthia, Subash Ranjan Kabat. Fractional Calculus-Based Analysis of Magneto-Thermal Nanofluid Flow Over Stretching and Shrinking Surfaces. Recent Trends in Fluid Mechanics. 2026; 13(02):-. Available from: https://journals.stmjournals.com/rtfm/article=2026/view=250276


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Ahead of Print Subscription Review Article
Volume 13
02
Received 15/07/2026
Accepted 16/07/2026
Published 20/07/2026
Publication Time 5 Days
48

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