JAPANESE JOURNAL OF MULTIPHASE FLOW
Online ISSN : 1881-5790
Print ISSN : 0914-2843
ISSN-L : 0914-2843
Short Paper
Correlation for Volume Fraction of Solid-phase in Liquid-solid Upward Two-phase Flows in Vertical Pipes
Tadashi SAKAGUCHI
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2010 Volume 24 Issue 4 Pages 470-473

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Abstract

A correlation based on the drift-flux model is proposed to estimate volume fraction of solid-phase in developed steady liquid-solid upward two-phase flows in vertical pipes. The distribution parameter and the drift velocity in the model are expressed by the six non-dimensional groups composed of input physical quantities and others. Their fundamental frames are given as follows:
   VS = JS/αS = Co(JL+JS) − {1-(dS/D)2}αLs VST
       Co=A1(dS/D)a{JL/(JL+JS)}b{JS/(JL+JS)}e(ρS/ρL)f{(JL+JS)/(gD)0.5}h
          {ρLD(JL+JS)/μL}j + B1
       αL=A2(dS/D)k{JL/(JL+JS)}m{JS/(JL+JS)}n(ρS/ρL)p{(JL+JS)/(gD)0.5}q
          {ρLD(JL+JS)/μL}r + B2
By using these new expressions, the volume fraction of solid-phase can be estimated with higher precisions than the author's previous correlation and Bankoff-type correlation.

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© 2010 by The Japanese Society for Multiphase Flow
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