A Mathematical Framework for Evaluating Thermal Conductivity–Driven Heat Transfer Enhancement in Nano Fluids


Authors : Byregowda K. C.; Dr. Viswanath M. M.; Amithkumar S. N.

Volume/Issue : Volume 10 - 2025, Issue 12 - December


Google Scholar : https://tinyurl.com/ycy82j9e

Scribd : https://tinyurl.com/58ms9uxk

DOI : https://doi.org/10.38124/ijisrt/25dec1658

Note : A published paper may take 4-5 working days from the publication date to appear in PlumX Metrics, Semantic Scholar, and ResearchGate.


Abstract : Nano fluids have gained significant attention as advanced working fluids for enhanced heat transfer applications due to their improved thermal properties. This study presents a mathematical framework for evaluating thermal conductivity–driven heat transfer enhancement in nano fluids. The proposed model incorporates the effects of nanoparticle volume fraction, particle size, Brownian motion, interfacial thermal resistance, and temperature-dependent thermo physical properties to predict effective thermal conductivity. Classical models are extended by accounting for nano scale transport mechanisms, resulting in improved predictive capability. The developed framework is coupled with conventional heat transfer correlations to assess its impact on convective heat transfer performance. A parametric analysis is performed to identify the influence of key governing parameters on thermal conductivity enhancement. Model predictions are validated against published experimental data and show good agreement with reduced deviation compared to existing models. The results highlight the existence of an optimal nanoparticle concentration for effective heat transfer enhancement.

Keywords : Nano Fluids, Thermal Conductivity, Mathematical Modeling, Heat Transfer Enhancement, Brownian Motion, Interfacial Thermal Resistance.

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Nano fluids have gained significant attention as advanced working fluids for enhanced heat transfer applications due to their improved thermal properties. This study presents a mathematical framework for evaluating thermal conductivity–driven heat transfer enhancement in nano fluids. The proposed model incorporates the effects of nanoparticle volume fraction, particle size, Brownian motion, interfacial thermal resistance, and temperature-dependent thermo physical properties to predict effective thermal conductivity. Classical models are extended by accounting for nano scale transport mechanisms, resulting in improved predictive capability. The developed framework is coupled with conventional heat transfer correlations to assess its impact on convective heat transfer performance. A parametric analysis is performed to identify the influence of key governing parameters on thermal conductivity enhancement. Model predictions are validated against published experimental data and show good agreement with reduced deviation compared to existing models. The results highlight the existence of an optimal nanoparticle concentration for effective heat transfer enhancement.

Keywords : Nano Fluids, Thermal Conductivity, Mathematical Modeling, Heat Transfer Enhancement, Brownian Motion, Interfacial Thermal Resistance.

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