Constant pressure filtration of power-law non-newtonian fluids.

Shirato, Mompei; Aragaki, Tsutomu; Iritani, Eiji; Wakimoto, Masaaki; Fujiyoshi, Satoshi; Nanda, Shoji

doi:10.1252/jcej.10.54

Cited by 30 publications

(11 citation statements)

References 4 publications

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“…The filtration rate in cake filtration is described by (Kozicki et al, 1968(Kozicki et al, , 1972Shirato et al, 1977Shirato et al, , 1980Murase et al, 1989) …”

Section: Blocking Filtration Equations For Filtrate Of Non-newtonian mentioning

confidence: 99%

Developments of Blocking Filtration Model in Membrane Filtration

Iritani

Katagiri

2016

KONA

Self Cite

117

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Blocking filtration laws consist of four different filtration mechanisms: complete blocking, standard blocking, intermediate blocking, and cake filtration. Blocking filtration laws for describing both the pore blocking and cake formation have been extensively employed over the past several decades to evaluate the increase in filtration resistance with the progress of filtration in the field of classical particulate filtration. In recent years, blocking filtration laws become widely used also in membrane filtration such as microfiltration and ultrafiltration of colloids. This paper gives an overview of the developments of blocking filtration laws and equations under constant pressure and constant rate conditions reported for the filtrate flow of Newtonian and non-Newtonian fluids. The fouling index evaluating the degree of membrane fouling was examined on the basis of the blocking filtration equations. The blocking filtration laws were reexamined to extend the range of their application. Moreover, various combined models developed based on the blocking filtration laws were introduced for describing more rigorously the complicated filtration behaviors controlled by more than one mechanism which occurs successively or simultaneously.

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“…The filtration rate in cake filtration is described by (Kozicki et al, 1968(Kozicki et al, , 1972Shirato et al, 1977Shirato et al, , 1980Murase et al, 1989) …”

Section: Blocking Filtration Equations For Filtrate Of Non-newtonian mentioning

confidence: 99%

Developments of Blocking Filtration Model in Membrane Filtration

Iritani

Katagiri

2016

KONA

Self Cite

117

View full text Add to dashboard Cite

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“…u-u1= -^r-(e-e&Y(0-E0)) (10) where E*=ah\0 wdu)lKW'^) (ll) The overall material balance in filtration is written as (O0= OS (l -ms)ps (12) where s the mass fraction of solids in slurry, p the liquid density and mthe ratio of wet to dry cake mass …”

Section: Discussionmentioning

confidence: 99%

Constant rate and variable pressure-variable rate filtration of power-law non-newtonian fluids.

Shirato

Aragaki

Iritani

et al. 1980

J. Chem. Eng. Japan

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Constant rate and variable pressure-variable rate filtration operations, which may be more frequently encountered in industrial filtrations involving centrifugal pumps, are investigated by using so-called power-law non-Newtonian fluids. Filtration pressure was manually controlled so that constant rate or variable pressure-variable rate filtration experimentswereexecuted. Slurries of Hyflo Super-Cel in sodium polyacrylate-deionized water solutions were filtered, the slurry concentration s being 0.18. The flow behavior index Nof the filtrate was about 0.3. Based upon the theories for constant pressure filtration of power-law non-Newtonian fluids presented in the previous paper, methods are presented for analyzing constant rate and variable pressure-variable rate filtration operations. The methods can be used for evaluating not only the overall filtration characteristics of the average specific resistance rav for filtration of power-law fluids and the ratio m of wetto-dry cake mass but also the detailed internal structures of the filter cake during filtration operations. It is also shown that good agreement exists between theories and experiments.

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“…(11) is 2.5, which corresponds to elliptically shaped flow channels with a ratio of minor to major axis in the order of 0.1 [13]. Kemblowski and Michniewicz [2] have successfully predicted the flow of molten polypropylene using the Kozeny-Carman equation for powerlaw fluids, and Shirato [16,17] has utilized the same equation in non-Newtonian filtration.…”

Section: +~( "7~'~'-11 (14)mentioning

confidence: 99%

A unified model for non-Newtonian flow in packed beds and porous media

Kozicki

Tiu

1988

Rheol Acta

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A generalized equation describing the flow of any time-independent purely viscous non-Newtonian fluid in packed beds and porous media is proposed. The equation, which is expressed in terms of the Kozeny constant k i and the bed tortuosity T, unifies the three well-known packed bed models due to Blake, Blake-Kozeny and Kozeny-Carman within a general framework which also brings out their differences. The accuracy of each of the three bed models is assessed by comparing the predictions with existing experimental results, and is found to depend on the rheological properties of the fluid. The Kozeny-Carman model appears to give the best overall description of the flow of pseudoplastic (shear-thinning) fluids in packed beds and porous media although the Blake-Kozeny model gives a better representation for the high shear-thinning fluids. consistency index defined for circular pipe flow L length of packed bed; subscript e denotes equivalent length n flow behaviour index in power-law model n* index defined by eq. (25) n' index defined for circular pipe flow P = P + Q 9 h, hydrostatic potential q = e (u), superficial average velocity qw = e ~7~, superficial effective velocity at the wall R h hydraulic radius

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Constant pressure filtration of power-law non-newtonian fluids.

Cited by 30 publications

References 4 publications

Developments of Blocking Filtration Model in Membrane Filtration

Developments of Blocking Filtration Model in Membrane Filtration

Constant rate and variable pressure-variable rate filtration of power-law non-newtonian fluids.

A unified model for non-Newtonian flow in packed beds and porous media

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