“…The pH and surface tension in different fiber suspensions at various conditions are close to that of water except in BCTMP fiber suspensions, where surface tension decreases significantly with increasing fiber mass fraction in the range 0.05% S C S 0.8% and remains relative constant at about 50 mN/m when 1.0% :::;; C :::;; 1.5%. More details are presented in [22].…”
Section: Methodsmentioning
confidence: 99%
“…In a bubble column with the gas phase distributed by a perforated plate or sparger at the column bottom, coalescence between the newly generated bubbles at the aeration zone due to the slowing down or trapping effects of fiber networks is the major mechanism that fibers affect gas holdup in a bubble column [22]. Because do is directly related to the size of newly generated bubbles [42], the sparger orifice diameter do is used as the characteristic length in quantifying the bubble buoyancy pressure.…”
Section: Fiber Effectsmentioning
confidence: 99%
“…Hence, fiber spacing in a fiber suspension and the ratio between the network strength and the pressure exerted on the fiber network by the bubble due to its buoyancy force are two important factors to bubble movement through a fiber suspension. For multiple bubble motions in a fiber suspension, these two factors also play important roles [5,22]. It is expected that these two factors should also significantly affect gas holdup in a gas-liquid-fiber bubble column.…”
Section: Fiber Effectsmentioning
confidence: 99%
“…Bubble size distribution in gas-liquid-fiber flows and its variation with fiber mass fraction and fiber type have been investigated in semi-batch [8-1 0] and cocurrent bubble columns [11 ]. Gas holdup in gas-liquid-fiber systems has also been studied in both semi-batch [2,[12][13][14][15][16][17][18] and co current [2,[19][20][21][22][23] bubble columns. Effects of superficial gas and liquid velocity, fiber mass fraction, fiber type, and gas ·Corresponding author, Phone: 515-294-0057, Fax: 515-294-3261, Email: theindel@iastate.edu distribution method on gas holdup were studied in these investigations.…”
Gas-liquid-fiber systems are different from conventional gas-liquid-solid systems in that the solid material (i.e., fiber) is flexible, has a large aspect ratio, and forms flocs or networks when its mass fraction is above a critical value. With its wide application to the pulp and paper industry, it is important to investigate the hydrodynamics of gas-liquid-fiber systems. In this paper, 19 parameters that influence gas holdup in gasliquid-fiber bubble columns are critically examined and then a dimensional analysis based on the Buckingham Pi Theorem is used to derive the dimensionless parameters governing gas-liquid-fiber bubble column hydrodynamics. Seven dimensionless parameters that are related to the fiber effects on gas holdup are further analyzed, and a single dimensionless parameter combining these dimensionless parameters is derived based on a force analysis and experimental results. This dimensionless parameter is shown to be sufficient to quantify the influence of fiber on gas holdup in gas-liquid-fiber cocurrent bubble columns. It also reduces the number of parameters needed in correlating experimental gas holdup data in gas-liquid-fiber bubble columns.
ABSTRACTGas-liquid-fiber systems are different from conventional gas-liquid-solid systems in that the solid material (i.e., fiber) is flexible, has a large aspect ratio, and forms floes or networks when its mass fraction is above a critical value. With its wide application to the pulp and paper industry, it is important to investigate the hydrodynamics of gas-liquid-fiber systems.
“…The pH and surface tension in different fiber suspensions at various conditions are close to that of water except in BCTMP fiber suspensions, where surface tension decreases significantly with increasing fiber mass fraction in the range 0.05% S C S 0.8% and remains relative constant at about 50 mN/m when 1.0% :::;; C :::;; 1.5%. More details are presented in [22].…”
Section: Methodsmentioning
confidence: 99%
“…In a bubble column with the gas phase distributed by a perforated plate or sparger at the column bottom, coalescence between the newly generated bubbles at the aeration zone due to the slowing down or trapping effects of fiber networks is the major mechanism that fibers affect gas holdup in a bubble column [22]. Because do is directly related to the size of newly generated bubbles [42], the sparger orifice diameter do is used as the characteristic length in quantifying the bubble buoyancy pressure.…”
Section: Fiber Effectsmentioning
confidence: 99%
“…Hence, fiber spacing in a fiber suspension and the ratio between the network strength and the pressure exerted on the fiber network by the bubble due to its buoyancy force are two important factors to bubble movement through a fiber suspension. For multiple bubble motions in a fiber suspension, these two factors also play important roles [5,22]. It is expected that these two factors should also significantly affect gas holdup in a gas-liquid-fiber bubble column.…”
Section: Fiber Effectsmentioning
confidence: 99%
“…Bubble size distribution in gas-liquid-fiber flows and its variation with fiber mass fraction and fiber type have been investigated in semi-batch [8-1 0] and cocurrent bubble columns [11 ]. Gas holdup in gas-liquid-fiber systems has also been studied in both semi-batch [2,[12][13][14][15][16][17][18] and co current [2,[19][20][21][22][23] bubble columns. Effects of superficial gas and liquid velocity, fiber mass fraction, fiber type, and gas ·Corresponding author, Phone: 515-294-0057, Fax: 515-294-3261, Email: theindel@iastate.edu distribution method on gas holdup were studied in these investigations.…”
Gas-liquid-fiber systems are different from conventional gas-liquid-solid systems in that the solid material (i.e., fiber) is flexible, has a large aspect ratio, and forms flocs or networks when its mass fraction is above a critical value. With its wide application to the pulp and paper industry, it is important to investigate the hydrodynamics of gas-liquid-fiber systems. In this paper, 19 parameters that influence gas holdup in gasliquid-fiber bubble columns are critically examined and then a dimensional analysis based on the Buckingham Pi Theorem is used to derive the dimensionless parameters governing gas-liquid-fiber bubble column hydrodynamics. Seven dimensionless parameters that are related to the fiber effects on gas holdup are further analyzed, and a single dimensionless parameter combining these dimensionless parameters is derived based on a force analysis and experimental results. This dimensionless parameter is shown to be sufficient to quantify the influence of fiber on gas holdup in gas-liquid-fiber cocurrent bubble columns. It also reduces the number of parameters needed in correlating experimental gas holdup data in gas-liquid-fiber bubble columns.
ABSTRACTGas-liquid-fiber systems are different from conventional gas-liquid-solid systems in that the solid material (i.e., fiber) is flexible, has a large aspect ratio, and forms floes or networks when its mass fraction is above a critical value. With its wide application to the pulp and paper industry, it is important to investigate the hydrodynamics of gas-liquid-fiber systems.
“…It also significantly affects the gas holdup in gas-liquid-fiber bubble columns (Su and Heindel, 2003;Tang and Heindel, 2005a). In most practical applications, fiber suspensions are composed of natural fibers that come with a wide fiber length distribution.…”
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