Employment of polymer degradation models in population balance equations describing flocculation with sonicated polymers

Al-Rashed, Mohsen H.; Lemanowicz, Marcin; Gierczycki, A.

doi:10.1016/j.minpro.2011.11.001

Cited by 8 publications

(7 citation statements)

References 46 publications

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“…In this section, foam infiltration distance ( L ) is a general term, which refers to both the maximum and the critical infiltration distance. Two different scenarios are presented in Figure , which are ( a ) L vs τ s at different P n when α n ( t ) = 0.125 and β n = 190 m and ( b ) L vs τ s at different P n when α n ( t ) = 0.500 and β n = 195 m. According to Figure , the following conclusions can be summarized: Foam infiltration distance drops with the increase of shear stress of foam fluid, foam infiltration distance increases with the increase of foam injection pressure, critical infiltration distance is always less than the maximum distance during the injection, and the gap between the maximum injection distance and critical distance reduces slowly with the increase of shear stress of foam fluid.…”

Section: Analytical Solutions Of a Groundwater Inflow Casementioning

confidence: 92%

“…However, this type of conditioning agent is not cost‐friendly because of the requirement for the large‐scale equipment to apply . Water‐soluble polymer, such as carboxy methyl cellulose (CMC), can be employed to increase of soil viscosity and to form plastic flow of soil . But it is only suitable for cohesionless soils.…”

Section: Introductionmentioning

confidence: 99%

“…23 Water-soluble polymer, such as carboxy methyl cellulose (CMC), can be employed to increase of soil viscosity and to form plastic flow of soil. [24][25][26] But it is only suitable for cohesionless soils. Super absorbent resin (SAR) is employed for preventing water inflow by changing soils with high water content to gelation conditions.…”

Section: Introductionmentioning

confidence: 99%

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Evaluation of foam conditioning effect on groundwater inflow at tunnel cutting face

Liu

Shen

Zhou

et al. 2018

Num Anal Meth Geomechanics

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Summary This paper presents an analytical evaluation on the influence of foam conditioning on groundwater inflow at shield tunnel cutting face by the force‐equilibrium principle. Three key variables are highlighted, namely, the maximum foam infiltration distance, the critical infiltration distance, and the hydraulic conductivity of foam‐conditioned soil or rock fissure. To capture the variation of water level induced by foam injection, a dynamic water‐level equation is considered in the force‐equilibrium principle. The proposed analytical equations are employed to analyze a water inflow case during shield tunneling in a weathered mylonite fault. The results indicate that the hydraulic conductivity of foam‐conditioned mylonite and the infiltration distance decrease with an increase of shear stress of foam fluid. A three‐dimensional finite element model is employed to validate the analytical solutions. The comparison between the observed and calculated results confirms that the proposed method can predict groundwater inflow in foam‐conditioned soils.

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Section: Analytical Solutions Of a Groundwater Inflow Casementioning

confidence: 92%

Section: Introductionmentioning

confidence: 99%

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Evaluation of foam conditioning effect on groundwater inflow at tunnel cutting face

Liu

Shen

Zhou

et al. 2018

Num Anal Meth Geomechanics

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“…Kırılma sabiti ve limit molekül ağırlığı sonikasyon koşullarına oldukça bağlıdır. (Rashed et al 2012) Deneysel sonuçlar sonikasyon süresince molekül ağırlığının değişimini belirlemede iyi sonuçlar veren Giz ve Madras modelleri ile analiz edilmiştir. Kullanılan modeller için verilen ifadelerde M t zamanın fonksiyonu olarak molekül ağırlığı M in başlangıç molekül ağırlığı, M lim limit molekül ağırlığıdır.…”

Section: Teorik Madras Ve Giz Modelleriunclassified

Ultrasonic Chain Scission of Polyethylene Oxide: Effect of Concentration and Temperature

Akyüz¹

2017

AKU-J. Sci. Eng.

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ÖzetPolietilen oksitin sulu çözeltilerde ultrasonik zincir kırılması çalışılmıştır. Çözelti konsantrasyonu ve sıcaklığın polietilen oksit zincir kırılmasına etkileri incelenmiştir. Sonikasyon 20 kHz ultrases frekansında sabit güç ile 1x10-3 , 4x10 -3 g/mL polietilen oksit konsantrasyonlarında ve 10, 20, 30, 40 0 C sıcaklıklarda gerçekleştirilmiştir. Polimer zincir kırılması çözeltinin spesifik viskozitesinin sonikasyon zamanına göre değişimi cinsinden karakterize edilmiştir. Teorik Madras ve Giz zincir kırılması modelleri viskozite ortalama molekül ağırlığı değişimini analiz etmek ve limit molekül ağırlığı -kırılma sabiti belirlemek için kullanılmıştır. Sonuçlar viskozite-molekül ağırlığının azaldığını ve zincir kırılmasının daha düşük sıcaklıklar ve çözelti konsantrasyonlarında daha hızlı ilerlediğini göstermektedir. Ultrasonic Chain Scission of Polyethylene Oxide: Effect of Concentration and Temperature KeywordsUltrasound; Polyethylene Oxide; Viscosity. AbstractThe ultrasonic chain scission of polyethylene oxide was studied in aqueous solutions. The effects of solution concentration and temperature on polyethylene oxide chains scission were investigated. Sonication is performed at 20 kHz ultrasound frequency with fixed power at 1x10 C. Poymer chain scission was charactrized in terms of the change in the specific viscosity of the solution as a function of sonication time. Theoretical Madras and Giz chain scission models were used to analyse the viscosity average molecular weight evaluation and determine the limit molecular weight -scission constant. Results show that viscosity -molecular weight decreased and the chain scission proceeded faster for lower temperatures and solution concentrations.

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“…Generally, they are known as specialty polymers with functional groups such as carboxyl, hydroxyl and amino groups that have applications in diverse fields such as packaging, agriculture, detergents, superabsorbents and others. [1,2] Nevertheless, the knowledge of the synthetic watersoluble polymers entering the environment is still sparse and due to their versatility, the environmental pollution by this type of polymers has become a major concern. [3,4] Also, as a result of their water solubility, they are able to reach sewage disposal systems and consequently contaminate water resources.…”

Section: Introductionmentioning

confidence: 99%

Optimisation of photo‐Fenton‐like degradation of aqueous polyacrylic acid using Box‐Behnken experimental design

2013

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The effectiveness of photo-Fenton-like process to degrade aqueous polyacrylic acid (PAA) is investigated in a batch recirculation system using two photoreactors in series. The response surface methodology (RSM) using the Box-Behnken experimental design combined with quadratic programming is employed for the experimental design, the statistical analysis and the optimisation. The effects of the initial concentration of PAA, the initial concentration of H 2 O 2 :Fe 3þ , pH and the recirculation rate on the percent removal of total organic carbon (TOC)and the 'pseudo'-second order rate constant as the process responses are studied. The statistical analysis of the results indicates a satisfactory prediction of the system behaviour by the developed quadratic models. Optimum operating conditions to maximise the percent TOC removal are also determined.

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Employment of polymer degradation models in population balance equations describing flocculation with sonicated polymers

Cited by 8 publications

References 46 publications

Evaluation of foam conditioning effect on groundwater inflow at tunnel cutting face

Evaluation of foam conditioning effect on groundwater inflow at tunnel cutting face

Ultrasonic Chain Scission of Polyethylene Oxide: Effect of Concentration and Temperature

Optimisation of photo‐Fenton‐like degradation of aqueous polyacrylic acid using Box‐Behnken experimental design

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