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An experimental research on surface oscillation of buoyant-thermocapillary convection in open cylindrical annuli

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Abstract

An experiment is carried out on the surface oscillation of buoyant-thermocapillary convection in an open cylindrical annulus. When the radial temperature difference ΔT reaches a critical value ΔT c, a regular oscillation appears and soon disappears on the open surface, which varies when the liquid layer’s thickness h and temperature difference ΔT are varied. With growth of ΔT, dominant frequency of the visible oscillation will grow too but is found within certain frequencies. Driving forces, buoyance and thermocapillarity, are responsible for this phenomanon and the “balance” point is considered to exist when h is between 4.5–5.0mm. Surface oscillation region is also found restricted within a narrow gap when Bo is smaller than 3.7.

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Abbreviations

h :

Layer thickness, mm

d :

Depth of cylindrical annuli, mm

R o :

Outer radius of the cylindrical annuli, mm

R i :

Inner radius of the cylindrical annuli, mm

Hr :

Heat ratio, \(Hr = \frac{{R_i }} {{R_o }} \)

A :

Aspect ratio, \(A = \frac{h} {{R_o - R_i }} \)

ΔT :

Temperature difference, °C

ΔT c :

Critical temperature difference, °C

ν:

Kinematic viscosity, m2/s

α:

Thermal diffusivity, m2/s

µ:

Dynamic viscosity, kg/(m·s)

γ T :

Temperature derivative of surface tension, N/(m·°C)

β :

Volume expansion coefficient

ρ :

Density, kg/m3

g :

Normal earth gravity, m/s2

Pr :

Prandtl number, \(Pr = \frac{v} {\alpha } \)

Ma :

Marangoni number, \(Ma = \gamma _T \frac{{\Delta Th}} {{\mu \alpha }} \)

Ra :

Rayleigh number, \(Ra = \frac{{g\beta h^3 \Delta T}} {{\alpha v}} \)

Bo :

Bond number, \(Bo = \frac{{\rho g\beta h^2 }} {{\gamma _T }} \)

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Authors and Affiliations

  1. National Microgravity Laboratory, Institute of Mechanics Chinese Academy of Sciences, 100190, Beijing, China

    Li Zhang, Li Duan & Qi Kang

Authors
  1. Li Zhang
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  2. Li Duan
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  3. Qi Kang
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Corresponding author

Correspondence to Qi Kang.

Additional information

The project was supported by the National Natural Science Foundation of China (11032011 and 10972224) and Knowledge Innovation Program of Chinese Academy of Sciences (KJCX2-YW-L08).

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Zhang, L., Duan, L. & Kang, Q. An experimental research on surface oscillation of buoyant-thermocapillary convection in open cylindrical annuli. Acta Mech Sin 30, 681–686 (2014). https://doi.org/10.1007/s10409-014-0073-2

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  • DOI: https://doi.org/10.1007/s10409-014-0073-2

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