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<p>This paper presents a numerical investigation of the influences of local thermal non-equilibrium (LTNE) and non-uniform heat source/sink on the convective flow of a Newtonian nanofluid through a vertical porous channel, using the shooting method. The analysis incorporates the Oberbeck-Boussinesq approximation, as well as the thermophoresis effect and Brownian motion effect, to capture the significant influence of nanofluids on flow dynamics and heat transfer characteristics. Plots and tables are used to analyze the impact of flow parameters on the heat transfer and mass transfer characteristics of the individual phases. The study focuses on clarifying how the fluid phase and the solid matrix thermal gradient affect the thermal transport, flow properties, and overall heat performance. Numerical techniques are employed to explore the enhanced thermal behavior of nanofluids and their interaction with porous media under LTNE conditions. The flow velocity variations are more significant with the thermophoretic and Brownian motion parameters, the internal heat source, and the inverse Darcy number than with the local thermal non-equilibrium parameters, such as the interphase heat-transfer coefficient and the thermal diffusivity ratio. The temperature profiles of the fluid and solid phases vary remarkably over an intermediate finite range of LTNE parameters, where LTNE is prominent. For large values of LTNE parameters (<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(H\rightarrow \infty ,\gamma \rightarrow \infty \)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>H</mi> <mo stretchy="false">→</mo> <mi>∞</mi> <mo>,</mo> <mi>γ</mi> <mo stretchy="false">→</mo> <mi>∞</mi> </mrow> </math></EquationSource> </InlineEquation>), the LTNE effect ceases, and the temperature profiles of the individual phases become independent of these parameters and converge asymptotically towards local thermal equilibrium results. Remarkably, the influence of LTNE diminishes for large values of the interfacial heat transfer coefficient and the ratio of thermal diffusivities, as observed in convective instability problems.</p>

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A numerical study on mixed convective Newtonian nanofluid flow through a porous channel: Local thermal non-equilibrium approach

  • 期刊论文

  • 发表日期：

    2026年6月16日

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  • R. Snehashree,
  • C Siddabasappa,
  • B. Patil Mallikarjun

摘要

This paper presents a numerical investigation of the influences of local thermal non-equilibrium (LTNE) and non-uniform heat source/sink on the convective flow of a Newtonian nanofluid through a vertical porous channel, using the shooting method. The analysis incorporates the Oberbeck-Boussinesq approximation, as well as the thermophoresis effect and Brownian motion effect, to capture the significant influence of nanofluids on flow dynamics and heat transfer characteristics. Plots and tables are used to analyze the impact of flow parameters on the heat transfer and mass transfer characteristics of the individual phases. The study focuses on clarifying how the fluid phase and the solid matrix thermal gradient affect the thermal transport, flow properties, and overall heat performance. Numerical techniques are employed to explore the enhanced thermal behavior of nanofluids and their interaction with porous media under LTNE conditions. The flow velocity variations are more significant with the thermophoretic and Brownian motion parameters, the internal heat source, and the inverse Darcy number than with the local thermal non-equilibrium parameters, such as the interphase heat-transfer coefficient and the thermal diffusivity ratio. The temperature profiles of the fluid and solid phases vary remarkably over an intermediate finite range of LTNE parameters, where LTNE is prominent. For large values of LTNE parameters ( \(H\rightarrow \infty ,\gamma \rightarrow \infty \) H → ∞ , γ → ∞ ), the LTNE effect ceases, and the temperature profiles of the individual phases become independent of these parameters and converge asymptotically towards local thermal equilibrium results. Remarkably, the influence of LTNE diminishes for large values of the interfacial heat transfer coefficient and the ratio of thermal diffusivities, as observed in convective instability problems.