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Fluids
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Advances in Computational Mechanics of Non-Newtonian Fluids, 2nd Edition
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Advances in Computational Mechanics of Non-Newtonian Fluids, 2nd Edition

A special issue of Fluids (ISSN 2311-5521). This special issue belongs to the section "Non-Newtonian and Complex Fluids".

Deadline for manuscript submissions: 28 February 2026 | Viewed by 666

Special Issue Editors

Dr. Chengcheng Tao

E-Mail Website
Guest Editor
School of Construction Management Technology, Purdue University, West Lafayette, IN 47907, USA
Interests: multi-scale modeling of materials; hazard-resilient infrastructure; machine learning application; multi-objective optimization; computational fluid dynamics; sustainable construction materials
Special Issues, Collections and Topics in MDPI journals
Dr. Mehrdad Massoudi

E-Mail Website
Guest Editor
Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15213, USA
Interests: multi-component flows; non-Newtonian fluids; granular materials; heat transfer; mathematical modelling
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Non-Newtonian (non-linear) fluids are common in nature (mud, honey, avalanches, etc.), but are also found in many petroleum, geotechnical, chemical, biological, food, pharmaceutical, and personal care processing industries. This Special Issue of Fluids is dedicated to the recent advancements in the mathematical, physical, and computational aspects of non-linear fluids with industrial applications, especially those concerned with computational fluid dynamics (CFD) studies. These fluids include traditional non-Newtonian fluid models, electro- or magneto-rheological fluids, granular materials, slurries, drilling fluids, polymers, blood and other biofluids, mixtures of fluids and particles, etc.

Dr. Chengcheng Tao
Dr. Mehrdad Massoudi
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Fluids is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1800 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • non-Newtonian fluids
  • rheology
  • multiphase flow
  • computational fluid dynamics (CFD)
  • mathematical modeling
  • viscoelasticity
  • thixotropy
  • slurries
  • suspensions
  • polymers
  • biofluids
  • geofluids

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Published Papers (2 papers)

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Research

21 pages, 3783 KiB  
Article
Fluid–Structure Interaction Effects on Developing Complex Non-Newtonian Flows Within Flexible Tubes
by Sheldon Wang, Dalong Gao and Hassan Pouraria
Fluids 2025, 10(8), 210; https://doi.org/10.3390/fluids10080210 - 10 Aug 2025
Viewed by 209
Abstract
Complex non-Newtonian glues are widely used in electrical vehicle (EV) manufacturing plants. In this paper, we focus on initial transient and compressibility issues which are closely associated with high pressure, boundary conditions, and flexible tubes, as well as their respective fluid–structure interaction effects. [...] Read more.
Complex non-Newtonian glues are widely used in electrical vehicle (EV) manufacturing plants. In this paper, we focus on initial transient and compressibility issues which are closely associated with high pressure, boundary conditions, and flexible tubes, as well as their respective fluid–structure interaction effects. Both thixotropic and power law non-Newtonian nearly compressible fluid models have been employed to couple with flexible tubes with two different sets of material properties, namely, Young’s modulus and density. In addition to thick-wall cylindrical pressure vessel solutions, different pressure and velocity boundary conditions have also been studied with the consideration of initial transient and steady solutions for acoustic models. Moreover, the radial direction displacement distributions through the tube wall thickness and axial directions compare well within 4 to 9 percentage points with theoretical solutions of thick-wall cylinders under internal and external pressures. Finally, inverse optimization methods have been employed for the calibration of key parameters in comparison with experimental and computational results. Full article
(This article belongs to the Special Issue Advances in Computational Mechanics of Non-Newtonian Fluids, 2nd Edition)
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19 pages, 3763 KiB  
Article
Mathematical Study of Pulsatile Blood Flow in the Uterine and Umbilical Arteries During Pregnancy
by Anastasios Felias, Charikleia Skentou, Minas Paschopoulos, Petros Tzimas, Anastasia Vatopoulou, Fani Gkrozou and Michail Xenos
Fluids 2025, 10(8), 203; https://doi.org/10.3390/fluids10080203 - 1 Aug 2025
Viewed by 364
Abstract
This study applies Computational Fluid Dynamics (CFD) and mathematical modeling to examine uterine and umbilical arterial blood flow during pregnancy, providing a more detailed understanding of hemodynamic changes across gestation. Statistical analysis of Doppler ultrasound data from a large cohort of more than [...] Read more.
This study applies Computational Fluid Dynamics (CFD) and mathematical modeling to examine uterine and umbilical arterial blood flow during pregnancy, providing a more detailed understanding of hemodynamic changes across gestation. Statistical analysis of Doppler ultrasound data from a large cohort of more than 200 pregnant women (in the second and third trimesters) reveals significant increases in the umbilical arterial peak systolic velocity (PSV) between the 22nd and 30th weeks, while uterine artery velocities remain relatively stable, suggesting adaptations in vascular resistance during pregnancy. By combining the Navier–Stokes equations with Doppler ultrasound-derived inlet velocity profiles, we quantify several key fluid dynamics parameters, including time-averaged wall shear stress (TAWSS), oscillatory shear index (OSI), relative residence time (RRT), Reynolds number (Re), and Dean number (De), evaluating laminar flow stability in the uterine artery and secondary flow patterns in the umbilical artery. Since blood exhibits shear-dependent viscosity and complex rheological behavior, modeling it as a non-Newtonian fluid is essential to accurately capture pulsatile flow dynamics and wall shear stresses in these vessels. Unlike conventional imaging techniques, CFD offers enhanced visualization of blood flow characteristics such as streamlines, velocity distributions, and instantaneous particle motion, providing insights that are not easily captured by Doppler ultrasound alone. Specifically, CFD reveals secondary flow patterns in the umbilical artery, which interact with the primary flow, a phenomenon that is challenging to observe with ultrasound. These findings refine existing hemodynamic models, provide population-specific reference values for clinical assessments, and improve our understanding of the relationship between umbilical arterial flow dynamics and fetal growth restriction, with important implications for maternal and fetal health monitoring. Full article
(This article belongs to the Special Issue Advances in Computational Mechanics of Non-Newtonian Fluids, 2nd Edition)
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