Measurements and evaluation of concentration distributions in filter cake formed in dead-end ultrafiltration of protein solutions

Iritani, Eiji; Mukai, Yasuhito; Hagihara, E

doi:10.1016/s0009-2509(01)00362-1

Cited by 41 publications

(21 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Recently, however, Darcy's law has been applied to systems involving diffusion in colloidal and macromolecular solutions. [23][24][25] Our result lends theoretical support to such studies.…”

Section: Equivalence Of Fick's and Darcy's Lawssupporting

confidence: 82%

Pressure and relative motion in colloidal suspensions

Peppin

Elliott²,

Worster

2005

Physics of Fluids

View full text Add to dashboard Cite

We examine the nature of relative motion in colloidal suspensions. By distinguishing carefully between the thermodynamic pressure of a mixture, defined by Gibbs, and the pressure measured by Darcy in porous media, we resolve apparent contradictions between the results and interpretations of different experiments. We show that Fick's and Darcy's laws, two empirical equations thought to describe different and complementary physical phenomena, are in fact particular limits of a single, unifying thermodynamic equation which can be used more generally to describe transport in colloidal systems. Importantly, this equation relates macroscopically measurable quantities. We use it to provide new interpretations of experiments in ultrafiltration.

show abstract

Section: Equivalence Of Fick's and Darcy's Lawssupporting

confidence: 82%

Pressure and relative motion in colloidal suspensions

Peppin

Elliott²,

Worster

2005

Physics of Fluids

View full text Add to dashboard Cite

show abstract

“…(41) is related to the applied filtration pressure p by (Sperry, 1921;Murase et al, 1987;Iritani et al, 2002;Zhou et al, 2015) 1…”

Section: Blocking Filtration Equations For Constant Rate Filtrationmentioning

confidence: 99%

Developments of Blocking Filtration Model in Membrane Filtration

Iritani

Katagiri

2016

KONA

118

View full text Add to dashboard Cite

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.

show abstract

“…In steady-state dead-end ultrafiltration, a fixed mass of macromolecules is placed above a semi-permeable membrane; above the macromolecules is a solvent reservoir [19,22,52]. In steady-state dead-end ultrafiltration, a fixed mass of macromolecules is placed above a semi-permeable membrane; above the macromolecules is a solvent reservoir [19,22,52].…”

Section: Protein Ultrafiltrationmentioning

confidence: 99%

On Diffusion and Permeation

Peppin¹

2009

Journal of Non-Equilibrium Thermodynamics

View full text Add to dashboard Cite

Diffusion and permeation are discussed within the context of irreversible thermodynamics. A new expression for the generalized Stokes-Einstein equation is obtained which links the permeability to the diffusivity of a two-component solution and contains the poroelastic Biot-Willis coefficient. The theory is illustrated by predicting the concentration and pressure profiles during the filtration of a protein solution. At low concentrations the proteins diffuse independently while at higher concentrations they form a nearly rigid porous glass through which the fluid permeates. The theoretically determined pressure drop is nonlinear in the diffusion regime and linear in the permeation regime, in quantitative agreement with experimental measurements.

show abstract

Measurements and evaluation of concentration distributions in filter cake formed in dead-end ultrafiltration of protein solutions

Cited by 41 publications

References 28 publications

Pressure and relative motion in colloidal suspensions

Pressure and relative motion in colloidal suspensions

Developments of Blocking Filtration Model in Membrane Filtration

On Diffusion and Permeation

Contact Info

Product

Resources

About