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Lie group and spectral analysis on entropy optimization for nanofluid flow over melting stretched surface with higher order slips

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The convective heat transport and entropy production in \(\textrm{NiZnFe}_2\textrm{O}_4\) (nickel zinc ferrite) + \(\textrm{C}_8\textrm{H}_{18}\) (engine oil) based nanofluid flow across a melting stretching surface are explored in the current study through similarity analysis. It is believed that the physics of flow across the stretched sheet can be fundamental for the extrusion process and heat exchangers along with several scientific and engineering applications such as geophysical applications, especially in some geothermal regions. The Lie group transformations are employed to produce the similarity representation for the partial differential equation’s system, which is then solved via the spectral local linearization method. The quantitative analysis is shown graphically to explore the effect of applicable parameters on fluid flow characteristics along with streamline visualizations. When the melting parameter is varied from \(M=0\) to \(M=1\), the heat transmission rate is increased by \(38\%\); the variation of first and second-order velocity slips from \(\lambda = 0, \, \gamma = 0\) to \(\lambda = 0.2, \, \gamma = -0.25\) reduced the entropy by \(53.7\%\), whereas \(8.4\%\) decrement is noted in the skin friction by the variation of viscous dissipation from Ec \(=0\) to Ec \(=0.5\). Furthermore, the addition of nanoparticles leads to an enhancement of streamline patterns and decrement in the surface friction as well as the heat transference rate. Comparisons and error estimations are done to show the efficiency of numerical approach. This research is found to be useful in many sectors, such as tumor treatments, electromagnetic interfaces, microwave applications, bone plate surgeries, and aerodynamic extrusion processes.

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  1. Department of Mathematics, National Institute of Technology Warangal, Hanumakonda, 506004, India

    Ramreddy Chetteti,  Sweta & J. Pranitha

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  1. Ramreddy Chetteti
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Chetteti, ., Sweta & Pranitha, J. Lie group and spectral analysis on entropy optimization for nanofluid flow over melting stretched surface with higher order slips. Arch Appl Mech 93, 3965–3981 (2023). https://doi.org/10.1007/s00419-023-02470-9

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