Internal flow mechanism in filter cakes

Shirato, Mompei; Sambuichi, Masao; Kato, Hiroo; Aragaki, Tsutomu

doi:10.1002/aic.690150320

Cited by 110 publications

(43 citation statements)

References 9 publications

(1 reference statement)

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“…Therefore flow rate equations, stress balances, constitutive equations and continuity equations are needed. For the flow rate equation the Darcy-Shirato equation (Shirato et al, 1969) is used which takes into account the solids movement Combination of the above equations leads to a partial differential equation, which describes the change of the porosity in time and place in a filter cake ~ps where u~m is the superficial liquid velocity through the falter medium, p~ the density of the solids, p, the density of the liquid and g the gravity acceleration.…”

Section: Governing Equationsmentioning

confidence: 99%

Fundamental aspects of sludge filtration and expression

et al. 1996

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Abstract--The filtration and expression behaviour of sewage sludge is discussed. Due to the increase of costs for controlled dumping and transport and more severe environmental legislation the need for decreased sludge volumes is rising. Filtration and expression are the cheapest dewatering operations and it is therefore desirable to remove the maximal feasible amount of water by mechanical dewatering. High dry solids contents of 35-40 wt% can already be reached at pressures of 300-400 kPa and optimal flocculation conditions; however at pressures of 6--10 MPa dry solids contents of 60 wt% can be reached. Further the modelling of the dewatering is discussed; model and experiment show acceptable agreement. Greek symbols= specific cake resistance (m kg -1) E = porosity (--) Eo = porosity at top of filter cake (ps = 0) (--) q = viscosity dash pot (Pa s) g = viscosity filtrate (Pa s) p~ = density liquidkg m -~ ps = density solids (kg m ~) r = relaxation time (s)

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Section: Governing Equationsmentioning

confidence: 99%

Fundamental aspects of sludge filtration and expression

et al. 1996

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“…The theory of cake filtration in which the filter cake forms on the surface of filter medium was initially established by Ruth (1935Ruth ( , 1946 and then extended to deal with the case of the compressible filter cake, as referred to as the modern filtration theory (Grace, 1953;Tiller, 1953;Okamura and Shirato, 1955;Tiller and Shirato, 1964;Shirato et al, 1969).…”

Section: Introductionmentioning

confidence: 99%

Developments of Blocking Filtration Model in Membrane Filtration

Iritani

Katagiri

2016

KONA

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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“…V r0 ) roln(ro/rc) and Ap is the total liquid driving pressure, given by CO2 Ap=-y à" {P(r2-rf)+psl(r2-r2)+p(r2-r2)} =PLc + P^\r2 -r2)l2 (10) where psl is the apparent density of the slurry and the VOL.21 NO. 4 1988 thickness of filter medium is considered to be negligible.…”

Section: Introductionmentioning

confidence: 99%