{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,23]],"date-time":"2025-12-23T16:31:12Z","timestamp":1766507472645,"version":"3.48.0"},"reference-count":58,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2025,12,23]],"date-time":"2025-12-23T00:00:00Z","timestamp":1766448000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Polymers"],"abstract":"<jats:p>Controlling the rheological properties of liquids allows for the regulation of effective movement, transport of substances, and processes in biological systems. This work presents an experimental investigation into the influence of the proton-exchange polymer membrane Nafion on the surface tension coefficient (STC) of distilled water, aqueous solutions of two methylene blue (MB) forms, and ascorbic acid (AA). Immediately upon membrane immersion in the solutions, a sharp decrease in the surface tension of distilled water, as well as of the oxidized and reduced forms of MB, occurs. The observed narrow time interval is associated with the formation of an exclusion zone near the membrane\u2013solution interface, containing dissociated sulfonate groups (SO3\u2212). The value of the time interval depends on the type of aqueous solution. At long soaking of the membrane in solutions, we obtained: for the aqueous solution of Mb+ (blue-coloured solution) the STC value eventually increases by about 5%, and for the reduced form of methylene blue MbH0-colourless solution, the STC value decreases by 4%. The STC value of the solutions formed during diffusion into the membrane has a significantly lower value compared to the STC of distilled water by 20% for the Mb+ form and by 24% for the MbH0 form of MB. The presence of the membrane in the aqueous AA solution causes only an increase in the STC value of the solution. Ultimately, for the solution with a concentration of 5 g\/L, this increase reached 15% relative to the STC value of the original AA solution. The change in surface tension of the investigated solutions in the presence of the membrane is due to their adsorption onto the membrane surface. Fourier-transform infrared (FTIR) spectroscopy investigation of distilled water, MB, and AA solution diffusion into the membrane across the range (370\u20137800) cm\u22121 confirms the process nonlinearity and enables identification of distinct time intervals corresponding to membrane swelling stages. The positions of IR transmission minima for membranes containing water and solution components remain unchanged; only the numerical values of the transmission coefficients vary. Using spectrophotometry, absorption lines of the membrane with adsorbed components of MB and AA solutions were identified in the range of (190\u2013900) nm. The absorption spectra of dried membranes with adsorbed Mb+ and AA solutions show a redshift to the IR region for the Nafion with Mb+ and a shift to the UV region for the Nafion soaked in an aqueous ascorbic acid solution. A surface tension gradient at the membrane\u2013solution interface can induce concentration-capillary convection in the liquid.<\/jats:p>","DOI":"10.3390\/polym18010036","type":"journal-article","created":{"date-parts":[[2025,12,23]],"date-time":"2025-12-23T14:05:22Z","timestamp":1766498722000},"page":"36","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Rheology of Aqueous Solutions in the Presence of Proton Exchange Membrane: Surface Tension"],"prefix":"10.3390","volume":"18","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2147-1077","authenticated-orcid":false,"given":"Svetlana L.","family":"Timchenko","sequence":"first","affiliation":[{"name":"Department of Fundamental Sciences, Bauman Moscow State Technical University, 2-nd Baumanskaya Street 5, Building 1, 105005 Moscow, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yurii Yu.","family":"Infimovskii","sequence":"additional","affiliation":[{"name":"Department of Fundamental Sciences, Bauman Moscow State Technical University, 2-nd Baumanskaya Street 5, Building 1, 105005 Moscow, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0001-7547-9410","authenticated-orcid":false,"given":"Evgenii N.","family":"Zadorozhnyi","sequence":"additional","affiliation":[{"name":"Department of Fundamental Sciences, Bauman Moscow State Technical University, 2-nd Baumanskaya Street 5, Building 1, 105005 Moscow, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0007-5279-549X","authenticated-orcid":false,"given":"Nikolai A.","family":"Zadorozhnyi","sequence":"additional","affiliation":[{"name":"Department of Fundamental Sciences, Bauman Moscow State Technical University, 2-nd Baumanskaya Street 5, Building 1, 105005 Moscow, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2025,12,23]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"333","DOI":"10.1016\/0032-3861(93)90086-P","article-title":"Swelling study of perfluorosulphonated ionomer membranes","volume":"34","author":"Gebel","year":"1993","journal-title":"Polymer"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"5829","DOI":"10.1016\/S0032-3861(99)00770-3","article-title":"Structural evolution of water swollen perfluorosulfonated ionomers from dry membrane to solution","volume":"41","author":"Gebel","year":"2000","journal-title":"Polymer"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"987","DOI":"10.1021\/acs.chemrev.6b00159","article-title":"New Insights into Perfluorinated Sulfonic-Acid Ionomers","volume":"117","author":"Kusoglu","year":"2017","journal-title":"Chem. 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