English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

In this paper, the authors investigate the membrane transport of aqueous non-electrolyte solutions in a single-membrane system with the membrane mounted horizontally. The purpose of the research is to analyze the influence of volume flows on the process of forming concentration boundary layers (CBLs). A mathematical model is provided to calculate dependences of a concentration polarization coefficient (ζ s ) on a volume flux (J vm ), an osmotic force (Δπ) and a hydrostatic force (ΔP) of different values. Property ζ s  = f(J vm ) for J vm  &gt; 0 and for J vm  ≈ 0 and property ζ s  = f(ΔC 1 ) are calculated. Moreover, results of a simultaneous influence of ΔP and Δπ on a value of coefficient ζ s when J vm  = 0 and J vm  ≠ 0 are investigated and a graphical representation of the dependences obtained in the research is provided. Also, mathematical relationships between the coefficient ζ s and a concentration Rayleigh number (R C ) were studied providing a relevant graphical representation. In an experimental test, aqueous solutions of glucose and ethanol were used.

The mathematical model of concentration polarization coefficient in membrane transport and volume flows