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Moderate Prandtl Number Nanofluid Thermocapillary Convection Instability in Rectangular Cavity

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Abstract

Thermocapillary convection of moderate Prandtl number nanofluid in rectangular cavity is numerically investigated in this paper, and the effect of nanoparticle volume fraction on flow instability is analyzed. The computational results show that, the critical temperature difference deceases gradually with nanoparticle volume fraction increasing, and nanofluid thermocapillary convection is less stable than the base fluid. With the increase of nanoparticle volume fraction the velocity oscillatory amplitude decreases, but the oscillatory period increases. Nanofluid oscillatory thermocapillary convection has one dominant oscillation frequency, and with nanoparticles volume fraction increasing the second fundamental frequency strengthens gradually.

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Data Availability

The datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.

Abbreviations

Cp :

specific heat, J/kgK

h:

cavity height, m

l:

cavity length, m

P:

pressure, Pa

Pr:

Prandtl number, Pr = Cpμ/λ

T:

fluid temperature, K

t:

time, s

V:

velocity vector, m/s

u:

x-velocity, m/s

v:

y-velocity, m/s

x:

x-direction coordinate, m

y:

y-direction coordinate, m

λ:

thermal conductivity, W/mK

ν:

kinematic viscosity, m2/s

αp :

nanoparticles volume fraction

μ:

dynamic viscosity, kg/ms

ρ:

density, kg/m3

τ:

oscillatory period, s

f:

base fluid

nf:

nanofluid

p:

nanoparticles

h:

hot wall

c:

cold wall

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Acknowledgements

The work was supported by National Natural Science Foundation of China (No.51976080, 12102128), the Fundamental Research Funds for the Central Universities (No. B200201037), and the Changzhou science and technology plan (Applied Basic Research) projects (CJ20200069).

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Correspondence to Yanni Jiang.

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We declare that we have no financial and personal relationships with other people or organizations that can inappropriately influence our work, there is no professional or other personal interest of any nature or kind in any product, service and/or company that could be construed as influencing the position presented in, or the review of, the manuscript entitled, “Moderate Prandtl number nanofluid thermocapillary convection instability in rectangular cavity”.

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Zhou, X., Chi, F., Jiang, Y. et al. Moderate Prandtl Number Nanofluid Thermocapillary Convection Instability in Rectangular Cavity. Microgravity Sci. Technol. 34, 24 (2022). https://doi.org/10.1007/s12217-022-09940-9

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