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Establishment time of liquid flow in a bath agitated by bottom gas injection

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Abstract

The establishment time of gas-liquid two-phase flows in a cylindrical bath agitated by bottom gas injection through a central single-hole bottom nozzle was investigated. Because the turbulence intensity in the bath was comparable to or larger than the unity, the conventional definition of the flow establishment time based on the history of mean velocity was not suitable for the present case. In fact, it was difficult to determine the flow establishment time based on the well-known 90 or 99 pct criterion for the mean velocity. Accordingly, two methods of determining the flow establishment time by focusing on the turbulence components instead of the mean velocity components were proposed. Velocity measurements were made with a two-channel laser Doppler velocimeter. The flow establishment time was correlated as a function of gas flow rate. Close agreement was obtained by the two methods.

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Abbreviations

D :

bath diameter

E g :

energy introduced in a bath

g :

acceleration due to gravity

H L :

bath depth

N :

number of velocity data

r, z :

radial and axial coordinates

Q L :

liquid flow rate entrained into bubble plume

Q Lbs :

Q L value evaluated at the bath surface

Q g :

gas flow rate

T T :

flow establishment time

t c :

characteristic time

u, v :

axial and radial velocity components

\(\bar u,\bar v\) :

long-time averaged values of axial and radial velocity components

u′, v′:

axial and radial turbulence components

u′rms, v′rms :

rms values of axial and radial turbulence components

\(\bar u_{sa} \) :

short-time averaged value of axial velocity component

u′ sa :

axial turbulence component defined by Eq. [6]

u′ sa,rms :

rms value of u′ sa

Δt :

short-time interval

ϱ L, ϱ g :

densities of liquid and gas

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Author notes

  1. Manabu Iguchi (Associate Professor, Professor) & Tsuneo Kondoh (Graduate Student, Engineer)

    Present address: the Faculty of Engineering, Department of Materials Science and Processing, Osaka University, 565, Osaka, Japan

Authors and Affiliations

  1. Division of Materials Science and Engineering, Graduate School of Engineering, Hokkaido University, 060, Hokkaido, Japan

    Manabu Iguchi (Associate Professor, Professor)

  2. Wakayama Works, Sumitomo Metal Industries, Ltd., 640, Wakayama, Japan

    Tsuneo Kondoh (Graduate Student, Engineer)

  3. Corporate Research and Development Laboratories, Sumitomo Metal Industries, Ltd., 660, Hyogo, Japan

    Keiji Nakajima (Senior Research Engineer)

Authors
  1. Manabu Iguchi
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  2. Tsuneo Kondoh
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  3. Keiji Nakajima
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Iguchi, M., Kondoh, T. & Nakajima, K. Establishment time of liquid flow in a bath agitated by bottom gas injection. Metall Mater Trans B 28, 605–612 (1997). https://doi.org/10.1007/s11663-997-0032-4

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  • DOI: https://doi.org/10.1007/s11663-997-0032-4

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