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Oscillating convection modes in the surroundings of an air bubble under a horizontal heated wall

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Abstract

The development of different oscillatory modes and their transition into a non-periodic state of convection, initiated by the thermal Marangoni-effect in the vicinity of an air bubble under a horizontal, heated wall, was investigated. In the further surroundings of the air bubble a stably stratified thermal field was maintained. The flow phenomena in the vicinity of the bubble were studied using light sheet and shearing interferometer flow visualization techniques. The observed modes are described with regard to their kinematics. The influence of the Marangoni number and of the bubble geometry on the mode selection is discussed. The boundaries of the different modes and of the non-periodic state are indicated.

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Abbreviations

a :

thermal diffusivity

Bo :

Bond number, Eq. (4)

c :

phase velocity, Eq. (6)

g :

acceleration due to gravity

l :

characteristic length

Mg :

Marangoni number, Eq. (1)

n :

wavenumber

Pr :

Prandtl number ( = v/a)

r :

radial coordinate

r B :

bubble radius

Ra :

Rayleigh number ( = ga¦∂T/∂r¦l 4/va)

Re :

Reynolds number ( = ϱu mg l/μ)

t p :

oscillation period

T :

temperature

T w :

wall temperature

u mg :

characteristical Marangoni velocity, Eq. (2)

z :

axial coordinate normal to the heated wall

z B :

bubble height

σ:

surface tension

ν:

kinematic viscosity

μ:

dynamic viscosity

References

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Authors and Affiliations

  1. Institut für Experimentelle Strömungsmechanik, DLR, W-3400, Göttingen, Germany

    Ch. -H. Chun

  2. Lehrstuhl für Mechanik, Universität-GH-Essen, W-4300, Essen, Germany

    D. Raake & G. Hansmann

Authors
  1. Ch. -H. Chun
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  2. D. Raake
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  3. G. Hansmann
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Additional information

Dedicated to Professor Dr.-Ing. Julius Siekmann on the occasion of his 65th birthday

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Chun, C.H., Raake, D. & Hansmann, G. Oscillating convection modes in the surroundings of an air bubble under a horizontal heated wall. Experiments in Fluids 11, 359–367 (1991). https://doi.org/10.1007/BF00211790

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  • DOI: https://doi.org/10.1007/BF00211790

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