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<p>Efficient thermal management in advanced engineering systems requires accurate modelling of nanofluid transport under complex boundary conditions. The effects of Brownian motion and thermophoresis have been widely studied; however, the combined influence of multiple slip mechanisms and electrified nanoparticles in mixed convective nanofluid flows remains largely unexplored. The mixed convective nanofluid flow over a plate with Brownian motion, electric Reynolds number, nanoparticle electrification, thermophoresis, and multiple slip conditions is significant for accurately modeling coupled thermal, mass, and electrohydrodynamic transport at micro- and nano-scales. These effects enable better control and enhancement of heat transfer, making the model highly relevant to microelectronics cooling, energy systems, and advanced industrial thermal applications. The purpose of this study is to formulate a comprehensive similarity-based model and obtain self-similar solutions that capture the combined effects of nanoparticle electrification and slip conditions on mixed convective Cu-water nanofluid flow past a vertical plate. The analysis employs Buongiorno’s non-homogeneous revised nanofluid model. By applying Lie group similarity transformations, the governing partial differential equations are transformed into a coupled system of ordinary differential equations, which is subsequently solved numerically using MATLAB’s bvp4c algorithm. The novel findings indicate that the electrification parameter enhances heat transfer by nearly 12% and mass transfer by about 25%, while velocity slip is the most influential slip mechanism, contributing an additional 5% improvement relative to other slip effects. The major novel finding of this study reveals that the enhancement in thermal and mass transport rates in mixed convective flow of nanofluid under slip effects is primarily attributed to the electrification effect of the nanoparticles. The present results are particularly applicable to electrically assisted microchannel cooling systems used in high-heat-flux electronic devices, where controlled nanoparticle electrification and slip boundary conditions can be exploited to enhance thermal management.</p>

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Similarity Solution of Heat and Mass Transfer in Mixed Convective Nanofluid Flow with Nanoparticle Electrification, Electric Reynolds Number and Multiple Slip Effects

  • 期刊论文

  • 发表日期：

    2026年4月15日

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  • Sujit Mishra,
  • Aditya Kumar Pati,
  • Sasanka Sekhar Bishoyi,
  • Ashok Misra,
  • Saroj Kumar Mishra

摘要

Efficient thermal management in advanced engineering systems requires accurate modelling of nanofluid transport under complex boundary conditions. The effects of Brownian motion and thermophoresis have been widely studied; however, the combined influence of multiple slip mechanisms and electrified nanoparticles in mixed convective nanofluid flows remains largely unexplored. The mixed convective nanofluid flow over a plate with Brownian motion, electric Reynolds number, nanoparticle electrification, thermophoresis, and multiple slip conditions is significant for accurately modeling coupled thermal, mass, and electrohydrodynamic transport at micro- and nano-scales. These effects enable better control and enhancement of heat transfer, making the model highly relevant to microelectronics cooling, energy systems, and advanced industrial thermal applications. The purpose of this study is to formulate a comprehensive similarity-based model and obtain self-similar solutions that capture the combined effects of nanoparticle electrification and slip conditions on mixed convective Cu-water nanofluid flow past a vertical plate. The analysis employs Buongiorno’s non-homogeneous revised nanofluid model. By applying Lie group similarity transformations, the governing partial differential equations are transformed into a coupled system of ordinary differential equations, which is subsequently solved numerically using MATLAB’s bvp4c algorithm. The novel findings indicate that the electrification parameter enhances heat transfer by nearly 12% and mass transfer by about 25%, while velocity slip is the most influential slip mechanism, contributing an additional 5% improvement relative to other slip effects. The major novel finding of this study reveals that the enhancement in thermal and mass transport rates in mixed convective flow of nanofluid under slip effects is primarily attributed to the electrification effect of the nanoparticles. The present results are particularly applicable to electrically assisted microchannel cooling systems used in high-heat-flux electronic devices, where controlled nanoparticle electrification and slip boundary conditions can be exploited to enhance thermal management.