Abstract

In this study, effects of different electrical conductivity models for magneto- hydrodynamic mixed convection of nanofluids in a lid-driven triangular cavity was numerically investigated with a finite element method. Effects of Richardson number and Hartmann number on the convective heat transfer characteristics were analyzed for various electrical conductivity models of nanofluids. Average Nusselt number decreases for higher Hartmann and Richardson numbers. Discrepancies in the local and average heat transfer exist between different electrical conductivity models, which is higher for higher values of Richardson number and Hartmann number. The total entropy generation rate was found reduced with higher values of Richardson number and Hartmann number while discrepancies exist between various electrical conductivity models. When the magnetic field is imposed, different behaviors of entropy generation rate versus solid particle volume fraction curve is obtained and it is dependent upon the range of solid particle volume fraction.

Highlights

  • Mixed convection is important for a variety of thermal engineering applications ranging from electronic cooling to solar power [1,2]

  • We numerically examined the magneto-hydro dynamic (MHD) mixed convection and entropy generation of water-alumina nanofluid in a lid-driven triangular cavity with partial heater for various electrical conductivity models

  • Mixed convection and entropy generation of alumina-water nanofluid in a lid driven triangular cavity were examined under the effect of magnetic field with various electrical conductivity models

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Summary

Introduction

Mixed convection is important for a variety of thermal engineering applications ranging from electronic cooling to solar power [1,2]. We numerically examined the magneto-hydro dynamic (MHD) mixed convection and entropy generation of water-alumina nanofluid in a lid-driven triangular cavity with partial heater for various electrical conductivity models. The results of this investigation can be used for design and optimization of convection in triangular cavities where a lot of application areas exist as mentioned above. A vast amount of studies are dedicated to the application of convective heat transfer with nanofluids under the effect of magnetic field In most of these studies, the Maxwell model for the electrical conductivity of the nanofluid was utilized. The numerical simulation results are expressed with streamline, isotherm plots and local and average Nusselt number distribution plots for various values of Richardson and Hartmann numbers considering three different electrical conductivity models

Numerical Modeling
Numerical
O3 and Al2 O3
Results and Discussion
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