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May 8, 2026Micro & Nano Letters0 citationsOpen Access

Computational Analysis of Heat Transfer and Thermal Efficiency of Nanofluids Using Experimentally Derived Correlations in Non‐Newtonian Flow Induced by a Deformable Sheet

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SSShahid Hussain SoomroSDSumera DeroUKUmair Khan

Key Points

  • This research aims to analyze heat transfer and thermal efficiency of nanofluids during mixed convection MHD flow.
  • Modelled the problem using partial differential equations (PDEs) and converted them into ordinary differential equations (ODEs).
  • Used similarity transformations and the shooting technique for solution in Maple software.
  • Performed stability analysis to determine the reliability of solutions.
  • The first branch solution is stable; the second and third branches are unstable.
  • Skin friction increases with positive stretching parameters and decreases with negative shrinking parameters.
  • Heat transfer rate increases with higher nanoparticle impact and velocity profile escalates with larger stretching parameters.

Abstract

ABSTRACT In this research work, the 2D (two‐dimensional) steady mixed convection MHD flow and heat transfer characteristics of nanofluids over an exponentially stretching/shrinking sheet are examined. In addition, suction/injection, heat source/sink, thermal radiation and slip parameter effects are considered. Initially, the problem is modelled in the form of PDEs, and then those PDEs equations are converted into ODEs using similarity transformations. Also, the solution of these equations is obtained by the shooting technique in Maple software. The three distinct branch solutions are found for each requisite posited influential parameter. Later, the stability analysis is performed to check that the first branch solution is stable and physically reliable. On the other hand, the second and third branch solutions are unstable. From the outcomes, it is seen that the skin friction increases for positive values of the stretching parameter and decreases for negative values of the shrinking parameter. The rate of heat transfer upsurges with the higher impact of the nanoparticles. The velocity profile escalates owing to the larger values of the stretching parameter, the nanoparticle volume fraction and the buoyancy parameter. In contrast, the suction and non‐Newtonian parameter decelerate the velocity profile.

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Cite This Study

Soomro et al. (2026) studied this question.

synapsesocial.com/papers/69fd7e23bfa21ec5bbf064bdhttps://doi.org/10.1049/mna2.70024
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