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<p>This paper presents a mathematical modeling and numerical investigation of the Nusselt number for a <i>Cu − MoS</i>2 and water-based hybrid nanofluid using the spectral method. A nonlinear stretching sheet is considered as the flow domain, and the governing partial differential equations are transformed into a system of ordinary differential equations using a suitable similarity transformation. To solve the system efficiently, a Chebyshev polynomial based numerical approach, the Spectral Quasilinearization Method (SQLM), is implemented. The novelty of this work lies in the application of SQLM for hybrid nanofluid heat transfer analysis, offering improved accuracy and computational efficiency compared to conventional methods. The results reveal that the Nusselt number (<i>Nu</i>) increases significantly with the suction parameter (<i>S</i>) within the range [2.5, 7.5], with the most pronounced effect observed due to sheet expansion (<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="44345_2025_29_Article_IEq1.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="11" /> </InlineMediaObject> <EquationSource Format="TEX">\(\varepsilon\)</EquationSource> </InlineEquation>&#xa0;), while the influence of <i>M</i> and <i>λ</i> remains comparatively weaker. The findings provide valuable insights for optimizing heat transfer in industrial applications, including cooling systems, thermal energy storage, and advanced manufacturing processes.</p>

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A numerical study on water-based hybrid nanofluid flow with chemical reaction

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年7月23日

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  • Anjan Samanta,
  • Hiranmoy Mondal,
  • Sabyasachi Mondal

摘要

This paper presents a mathematical modeling and numerical investigation of the Nusselt number for a Cu − MoS2 and water-based hybrid nanofluid using the spectral method. A nonlinear stretching sheet is considered as the flow domain, and the governing partial differential equations are transformed into a system of ordinary differential equations using a suitable similarity transformation. To solve the system efficiently, a Chebyshev polynomial based numerical approach, the Spectral Quasilinearization Method (SQLM), is implemented. The novelty of this work lies in the application of SQLM for hybrid nanofluid heat transfer analysis, offering improved accuracy and computational efficiency compared to conventional methods. The results reveal that the Nusselt number (Nu) increases significantly with the suction parameter (S) within the range [2.5, 7.5], with the most pronounced effect observed due to sheet expansion ( \(\varepsilon\)  ), while the influence of M and λ remains comparatively weaker. The findings provide valuable insights for optimizing heat transfer in industrial applications, including cooling systems, thermal energy storage, and advanced manufacturing processes.