Natural convection of SiO2-water nanofluid in square cavity with thermal square column

doi:10.1007/s10483-017-2183-6

Abstract

Abstract:

A square with a thermal square column is a simple but nontrivial research prototype for nanofluid research. However, until now, the effects of the temperature of the square column on the heat and mass transfer of nanofluids have not been revealed comprehensively, especially on entropy generation. To deepen insight into this important field, the natural convection of the SiO₂-water nanofluid in a square cavity with a square thermal column is studied numerically in this study. The effects of the thermal column temperature (T=0.0, 0.5, 1.0, 1.5), the Rayleigh number (ranging from 10³ to 10⁶), and the volume fraction of the nanoparticle (varying from 0.01 to 0.04) on the fluid flow, heat transfer, and entropy generation are investigated, respectively. It is found that, no matter at a low or high Rayleigh number, the volume fraction of the nanoparticle shows no considerable effects on the flow field and temperature field for all the temperatures of the thermal column. With an increase in the volume fraction, the mean Nusselt number increases slightly. At the same time, it is found that, with an increase in the temperature of the thermal column, the average Nusselt number gradually decreases at all values of the Rayleigh number. Meanwhile, it is found that, at a high Rayleigh number, the heat transfer mechanism is the main parameter affecting the increase in the total entropy generation rather than the volume fraction. In addition, no matter at a high or low Rayleigh number, when T=0.5, the total entropy generation is the minimum.

Key words: dry friction, Poincar´e map, normal form, periodic solution, torus, Rayleigh number, volume fraction, SiO₂-water nanofluid, natural convection, entropy generation

2010 MSC Number:

O351.2

Xiaopeng XIONG, Sheng CHEN, Bo YANG. Natural convection of SiO₂-water nanofluid in square cavity with thermal square column. Applied Mathematics and Mechanics (English Edition), 2017, 38(4): 585-602.

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References

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Natural convection of SiO₂-water nanofluid in square cavity with thermal square column

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