Dual-Phase Thermal and Concentration Relaxation Effects on Magneto-Viscoelastic Williamson Nanofluid: A Cattaneo-Christov Flux Approach

Dual-Phase Thermal and Concentration Relaxation Effects on Magneto-Viscoelastic Williamson Nanofluid: A Cattaneo-Christov Flux Approach | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 14 May 2025 V1 Latest version Share on Dual-Phase Thermal and Concentration Relaxation Effects on Magneto-Viscoelastic Williamson Nanofluid: A Cattaneo-Christov Flux Approach Authors : EYAYA ENEYEW 0000-0002-2508-7670 [email protected] , Eshetu Haile 0000-0002-2428-1842 , Assaye Walelgn , and Endalew Tsegaw Authors Info & Affiliations https://doi.org/10.22541/au.174720609.97833856/v1 218 views 56 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract This study numerically investigates dual-phase thermal and concentration relaxation effects on magneto-viscoelastic thermally radiating Williamson nanofluid flowing over a permeable stretching surface in 2D and steady-state conditions using the Cattaneo–Christov flux model with consideration of the effects of viscous dissipation and joule heating. The governing PDEs have been first transformed into a highly nonlinear coupled ODEs via suitable similarity variables. The resultant equations are solved with a two-step high-accuracy spectral quasilinearization method, whose accuracy and convergence are rigorously validated against previously published results. This allows for an in-depth investigation of how the key parameters including the Weissenberg number, velocity ratio, suction/injection, magnetic field, radiation, and relaxation times influence the characteristics of the boundary layer. Results show that thermal relaxation suppresses heat transfer by delaying thermal diffusion, while concentration relaxation enhances mass transfer through sharper concentration gradients. The velocity ratio increases skin friction drag, velocity, and rate of heat flow but reduces rate of mass flow; suction thins boundary layers to promote heat transfer, whereas injection amplifies velocity and temperature profiles, further boosting heat transfer. Viscoelasticity lowers skin friction and mass transfer but can enhance heat transfer, and magnetic and viscous dissipation effects further improve mass transfer. This work demonstrates the superiority of the Cattaneo–Christov model over classical Fourier and Fick laws in capturing finite-speed relaxation phenomena, offering critical insights for optimizing thermal and mass transport in engineering applications involving non-Newtonian nanofluids. Supplementary Material File (article_1_v4_coupled_thermal_and_solutal_relaxation_phenomena.pdf) Download 11.18 MB Information & Authors Information Version history V1 Version 1 14 May 2025 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords fluid dynamics heat transfer mathematical modeling nano-technology non-newtonian fluids numerical simulation Authors Affiliations EYAYA ENEYEW 0000-0002-2508-7670 [email protected] Bahir Dar University College of Science View all articles by this author Eshetu Haile 0000-0002-2428-1842 Bahir Dar University College of Science View all articles by this author Assaye Walelgn Bahir Dar University College of Science View all articles by this author Endalew Tsegaw Bahir Dar University College of Science View all articles by this author Metrics & Citations Metrics Article Usage 218 views 56 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation EYAYA ENEYEW, Eshetu Haile, Assaye Walelgn, et al. Dual-Phase Thermal and Concentration Relaxation Effects on Magneto-Viscoelastic Williamson Nanofluid: A Cattaneo-Christov Flux Approach. Authorea . 14 May 2025. 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