Studies on the second virial coefficient of sodium alginate solution

Zhang, Hucheng; Zheng, Honghe; Zhang, Qinghi; Gao, Shuyan; Wang, Jianji

doi:10.1002/(sici)1099-1581(199711)8:11<722::aid-pat708>3.0.co;2-0

Cited by 3 publications

(2 citation statements)

References 13 publications

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“…2) in Fig. 6 Zhang, et al, 1997). The value of the second virial coefficient for I = 44 mM, which was the lowest ion strength I of EDTA added to the sodium alginate solution, is 4.5 × 10 -8 m 3 mol/g 2 (Strand, et al, 1982).…”

Section: Calculation Results and Discussionmentioning

confidence: 90%

Energy generation characteristics of pressure retarded osmosis using polymer solution

Bando

Otomo

SUZUKI

et al. 2022

JFST

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Research on energy generation characteristics based on pressure retarded osmosis (PRO) using seawater is being widely carried out. However, there are few studies that use polymer solutions. Therefore, the purpose of this study is to evaluate energy generation characteristics when using a polymer solution. We established a PRO model with a constant hydrostatic pressure difference in a semipermeable membrane, through which pure water permeates into the polymer solution side. The concentration of the polymer solution was determined by solving the one-dimensional convection-diffusion equation, and the osmotic pressure difference in the semipermeable membrane was evaluated. The following four dimensionless parameters were derived by making the basic equations dimensionless; the dimensionless second virial coefficient , the dimensionless hydrostatic pressure difference p*, the Péclet number Pe, and the cross-sectional area reduction ratio of the tube on the solution side . The generation characteristics of dimensionless power densities were evaluated by changing the  representing the properties of the polymer solution. The value of p* for which the largest dimensionless power density obtained was 0.5 or more, and approached 1 as  increased. When compared with seawater, the power density while using polymer solution was smaller than that while using seawater. However, by preventing the temporal decrease in the concentration of the polymer solution and the generation of a concentration boundary layer, it is possible to significantly improve the power density and obtain a power density close to that of seawater. In addition, when the membrane used for standard PRO is applied to the present model, a commerciallevel power density can be obtained.

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Section: Calculation Results and Discussionmentioning

confidence: 90%

Energy generation characteristics of pressure retarded osmosis using polymer solution

Bando

Otomo

SUZUKI

et al. 2022

JFST

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show abstract

“…While R g of the two polymers is nearly identical, the Li system shows a sharp drop in A 2 as the theta point is approached. A review of second virial coefficient data for flexible, 486,[504][505][506][507][508][509] semiflexible, 109,296,359,360,476,[510][511][512][513][514][515][516] and rigid polyelectrolytes 120,517 revealed that A 2 does not follow a universal power-law with c s . Exponents both larger and smaller than À0.6 are observed in the low c s region (i.e.…”

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confidence: 99%