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April 27, 2026Chemical Engineering & Technology0 citations

Free Convection Heat Transfer in Nanofluid From Inclined Porous Cylinder: Numerical and ML Analysis

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SSSucheta SinhaRVRajesh VanshpatiJKJaspinder Kaur

Key Points

  • The study aims to explore free convection heat transfer in a CNT-water nanofluid and the effects of various parameters on heat transfer performance.
  • Conducted numerical simulations of buoyancy-driven flow in a square cavity with an inclined porous cylinder
  • Analyzed the effects of Darcy number, Rayleigh number, and nanoparticle volume fraction on heat transfer
  • Trained machine learning models (RF, DT, XGBoost, SVR) on numerical data to predict average Nusselt number.
  • Higher Darcy and Rayleigh numbers improved flow intensity and heat transfer efficiency
  • Machine learning models successfully predicted average Nusselt number, with random forest achieving R² = 0.9959
  • SHAP analysis identified Darcy number as the most influential factor for convective heat transfer performance.

Abstract

ABSTRACT A numerical study examined buoyancy‐driven flow in a square cavity containing an inclined porous cylinder using a carbon nanotube (CNT)–water nanofluid. CNT–water nanofluid was selected as the working fluid, with its effective thermal and physical properties evaluated according to Thang et al. (2015). The effects of Darcy number ( Da ), Rayleigh number ( Ra ), and nanoparticle volume fraction ( ϕ ) were analyzed to examined the influence of key parameters 10 −6 ≤ Da ≤ 10 −2 ,10 3 ≤ Ra ≤ 10 6 , and0 ≤ ϕ ≤ 0.05, using finite element simulation. Additionally, machine learning (ML) models, random forest (RF), decision tree (DT), XGBoost, and support vector regression (SVR) were trained on the numerical data to predict Nu avg . Results showed that higher Da and Ra enhanced flow intensity and heat transfer. ML models predicted average Nusselt number, with RF achieving the best accuracy ( R 2 = 0.9959). SHAP analysis identified Da as the dominant factor influencing convective heat transfer performance.

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Cite This Study

Sinha et al. (2026) studied this question.

synapsesocial.com/papers/69eefde9fede9185760d4a3ehttps://doi.org/10.1002/ceat.70221
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