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Characterization of two-phase axisymmetric plume in a gas stirred liquid bath—A water model study

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Abstract

Plume profile and plume cone angle (θc) were determined by still photographic technique in a cold model set-up where air was blown into a water bath through an axial nozzle located at the bottom of the vessel. Effects of various operating variables,e.g., gas flow rate(Q), bath height(H), and nozzle diameter(d n) on the plume profile were investigated. θc increased with increasingQ, decreased with increasingH, but was approximately independent ofd. Based on the experimental data the following empirical correlation was developed:\((\frac{{\theta _c }}{{180}}) = 0.915\;Fr_m^{0.12} (\frac{H}{D})^{ - 0.254} (\frac{{d_n }}{D})^{0.441} \) whereD is bath diameter, Frm is modified Froude number (= 16Q2/π2gd4 nH⋅ G/(pL-pG)), g is acceleration due to gravity, andp L andp G are densities of liquid and gas, respectively.

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Abbreviations

a 1,a2 :

empirical (dimensionless) constants as defineda 3,a4 in Eq. [6]

A pb :

estimated area using Eq. [1] within the plume boundaries (m2)

Á PB :

measured area within the plume boundaries (m2)

d n :

nozzle diameter (mm)

d p :

conical plume diameter at the bath surface (m)

D :

bath diameter (m)

Frm :

modified Froude number (dimensionless) as defined by Eq. [5]

g :

acceleration due to gravity (m/s2)

H :

bath height (m)

Q :

gas flow rate (Nm3/s)

t :

time (s)

z:

bath height (variable)

θ c :

plume cone angle (deg)

θ*c :

dimensionless plume cone angle

p G :

gas density (Kg/m3)

p L :

liquid density (Kg/m3)

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Authors and Affiliations

  1. Department of Materials Science and Engineering, Massachusetts Institute of Technology, 02139, Cambridge, MA

    G. G. Krishna Murthy (Postdoctoral Fellow)

  2. Department of Metallurgical Engineering, Indian Institute of Technology, 208016, Kanpur, India

    A. Ghosh (Professor) & S. P. Mehrotra (Professor)

Authors
  1. G. G. Krishna Murthy
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  2. A. Ghosh
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  3. S. P. Mehrotra
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Additional information

G.G. KRISHNA MURTHY, formerly Graduate Student in the Department of Metallurgical Engineering at the Indian Institute of Technology, Kanpur, India.

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Murthy, G.G.K., Ghosh, A. & Mehrotra, S.P. Characterization of two-phase axisymmetric plume in a gas stirred liquid bath—A water model study. Metall Trans B 19, 885–892 (1988). https://doi.org/10.1007/BF02651412

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