1981
DOI: 10.1016/0301-9322(81)90004-5
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Momentum and heat transfer in two-phase bubble flow—II. A comparison between experimental data and theoretical calculations

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Cited by 62 publications
(19 citation statements)
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“…Two contributions to the turbulent diffusivity of the liquid phase have been identified for bubble flow in channels: one contribution regards the inherent wall turbulence and does not depend on bubble agitation of the culture; the other contribution regards the turbulence caused by the bubbles. For columns operated batchwise with respect to the liquid phase—absence of net liquid flow—the bubble‐induced turbulence is dominant and the turbulent diffusivity depends on the gas flow rate according to the relationship: normalDT=1.2εnormalGnormaldB2normalUB where ε G is the gas‐holdup, d B the Sauter mean bubble diameter, and U B the mean bubble slip velocity . Under operating conditions typical of a bubble‐column, ε G ranges between 2 and 10%, d B ranges between 2 and 10 mm, U B ranges between 10 and 30 cm/s.…”
Section: Resultsmentioning
confidence: 99%
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“…Two contributions to the turbulent diffusivity of the liquid phase have been identified for bubble flow in channels: one contribution regards the inherent wall turbulence and does not depend on bubble agitation of the culture; the other contribution regards the turbulence caused by the bubbles. For columns operated batchwise with respect to the liquid phase—absence of net liquid flow—the bubble‐induced turbulence is dominant and the turbulent diffusivity depends on the gas flow rate according to the relationship: normalDT=1.2εnormalGnormaldB2normalUB where ε G is the gas‐holdup, d B the Sauter mean bubble diameter, and U B the mean bubble slip velocity . Under operating conditions typical of a bubble‐column, ε G ranges between 2 and 10%, d B ranges between 2 and 10 mm, U B ranges between 10 and 30 cm/s.…”
Section: Resultsmentioning
confidence: 99%
“…Uniform gas-sparging at the bottom of the photobioreactor provides a sufficient culture mixing. Two contributions to the turbulent diffusivity of the liquid phase have been identified for bubble flow in channels: 58,64,65 one contribution regards the inherent wall turbulence and does not depend on bubble agitation of the culture; the other contribution regards the turbulence caused by the bubbles. For columns operated batchwise with respect to the liquid phase-absence of net liquid flow-the bubble-induced turbulence is dominant and the turbulent diffusivity depends on the gas flow rate according to the relationship:…”
Section: Flat Photobioreactorsmentioning
confidence: 99%
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“…While the focus of applicationoriented studies is to formulate empirical correlations a) Electronic mail: s.g.huisman@utwente.nl for the net heat and mass transfer coefficients, fundamental research focuses on measuring and characterising the local flow statistics which leads to physical insight behind the observed correlations. In particular, recent studies in turbulent bubbly flows have investigated a variety of aspects such as: (i) bubble size and velocity distributions 11,12 , (ii) global heat and mass transport measurements [12][13][14] , (iii) computational studies with ideal boundary conditions 15,16 , (iv) liquid velocity and temperature profile 11,17,18 , (v) homogeneous and inhomogeneous bubble injection [17][18][19] , and (vi) natural and forced convection 16,[19][20][21][22][23] .…”
Section: Introductionmentioning
confidence: 99%
“…(3) The turbulence intensity increases with the increase in void fraction, flow direction and radial direction. The predicted liquid velocities by using existing algebraic turbulence models of Sato et al [1,2] and Kataoka and Serizawa [3] were compared with the present experimental data. The comparison indicates that those models do not reasonably predict the liquid velocity distribution in a two-phase flow in a large diameter pipe mainly due to the defect in the predictive model of the liquid shear stress.…”
mentioning
confidence: 99%