鉛直管内気液二相スラグ流における大気泡長さ，液体スラグ長さ，スラグユニット長さ並びにスラグ周期の推算式
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Fundamental forms of correlations are proposed for large bubble lengths, liquid slug lengths and slug unit lengths, and slug periods of gas-liquid two-phase slug flow in vertical pipes. The empirical correlations for each length are derived using 337 experimental data obtained from water-air, water solution containing NaOH, K<SUB>3</SUB>Fe(CN)<SUB>6</SUB> and K<SUB>4</SUB>Fe(CN)<SUB>6</SUB>- air and water-carbon dioxide two-phase slug flows in pipes of their diameter 8-50.8mm, and volumetric fluxes J<SUB>G</SUB>=0.0256−3.42m/s, J<SUB>L</SUB>=0.0390−1.50m/s, J<SUB>T</SUB>=0.0847−4.40 m/s. They are shown below. For large bubble length L<SUB>LB</SUB>: L<SUB>LB</SUB>=0.121D(J<SUB>G</SUB>/J<SUB>T</SUB>)<SUP>1.70</SUP>(J<SUB>L</SUB>/J<SUB>T</SUB>)<SUP>-0.408</SUP>(J<SUB>T</SUB>/(gD)<SUP>0.5</SUP>)<SUP>0.582</SUP>(ρ<SUB>L</SUB>DJ<SUB>T</SUB>/μ<SUB>L</SUB>)<SUP>0.149</SUP>(ρ<SUB>L</SUB>DJ<SUB>T</SUB><SUP>2</SUP>/σ)<SUP>-0.207</SUP>(μ<SUB>G</SUB>/μ<SUB>L</SUB>)<SUP>0.291</SUP>(ρ<SUB>G</SUB>/ρ<SUB>L</SUB>)<SUP>-0.831</SUP>+0.00186. For liquid slug length L<SUB>LS</SUB>: L<SUB>LS</SUB>=534000D(J<SUB>G</SUB>/J<SUB>T</SUB>)<SUP>0.415</SUP>(J<SUB>L</SUB>/J<SUB>T</SUB>)<SUP>0.143</SUP>(J<SUB>T</SUB>/(gD)<SUP>0.5</SUP>)<SUP>0.143</SUP>(ρ<SUB>L</SUB>DJ<SUB>T</SUB>/μ<SUB>L</SUB>)<SUP>0.0983</SUP>(ρ<SUB>L</SUB>DJ<SUB>T</SUB><SUP>2</SUP>/σ)<SUP>-0.119</SUP>(μ<SUB>G</SUB>/μ<SUB>L</SUB>)<SUP>1.34</SUP>(ρ<SUB>G</SUB>/ρ<SUB>L</SUB>)<SUP>0.753</SUP>−0.124. For slug unit length L<SUB>SU</SUB>: L<SUB>SU</SUB>=19700D(J<SUB>G</SUB>/J<SUB>T</SUB>)<SUP>0.305</SUP>(J<SUB>L</SUB>/J<SUB>T</SUB>)<SUP>-0.340</SUP>(J<SUB>T</SUB>/(gD)<SUP>0.5</SUP>)<SUP>0.393</SUP>(ρ<SUB>L</SUB>DJ<SUB>T</SUB>/μ<SUB>L</SUB>)<SUP>0.0275</SUP>(ρ<SUB>L</SUB>DJ<SUB>T</SUB><SUP>2</SUP>/σ)<SUP>-0.154</SUP>(μ<SUB>G</SUB>/μ<SUB>L</SUB>)<SUP>0.944</SUP>(ρ<SUB>G</SUB>/ρ<SUB>L</SUB>)<SUP>0.346</SUP>−0.291. The similar method is applied to derive the correlation for the slug period. The following correlation is obtained using 205 experimental data. T<SUB>B</SUB>=16100(D/J<SUB>T</SUB>)(J<SUB>G</SUB>/J<SUB>T</SUB>)<SUP>1.38</SUP>(J<SUB>L</SUB>/J<SUB>T</SUB>)<SUP>-0.166</SUP>(J<SUB>T</SUB>(gD)<SUP>0.5</SUP>)<SUP>-0.317</SUP>(ρ<SUB>L</SUB>DJ<SUB>T</SUB>/μ<SUB>L</SUB>)<SUP>1.61</SUP>(ρ<SUB>L</SUB>DJ<SUB>T</SUB><SUP>2</SUP>/σ)<SUP>-0.564</SUP>(μ<SUB>G</SUB>/μ<SUB>L</SUB>)<SUP>0.333</SUP>(ρ<SUB>G</SUB>/ρ<SUB>L</SUB>)<SUP>3.04</SUP>+0.0870. These empirical correlations are applicable for gas-liquid two-phase slug flow under nearly room temperature and at atmospheric pressure.
- 日本混相流学会の論文
日本混相流学会 | 論文
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