Guest Editors
Dr. Zubair Ahmad
Email: zubair.ahmad@unicampania.it
Affiliation: 1Department of Political Science, University of Naples Federico II, 80138 Naples, Italy 2Department of Mathematics and Physics, University of Campania "Luigi Vanvitelli", 81100 Caserta, Italy
Homepage:
Research Interests: mathematical modelling, differential fractional derivatives, numerical mathematical biology, fluid flow problems

Prof. Lioua Kolsi
Email: l.kolsi@uoh.edu.sa
Affiliation: Department of Mechanical Engineering, University of Ha'il, Ha'il 81451, Saudi Arabia
Homepage:
Research Interests: thermodynamics, nanofluids applications, CFD, heat and mass transfer, flow visualization, MHD

Summary
Fluid mechanics remains a cornerstone of modern engineering and scientific research, deeply intertwined with advances in aerospace, energy, biomedical systems, industrial processes, and increasingly, materials science. This special issue seeks to highlight cutting-edge developments in mathematical and computational modeling of fluid flows, with a renewed emphasis on how fluid dynamics shapes the behavior, processing, and synthesis of materials across scales.
The issue will feature innovative methodologies—ranging from first-principles modeling and data-driven approaches to hybrid analytical-computational techniques—aimed at understanding and predicting complex fluid phenomena such as turbulence, multiphase flows, and the behavior of nanofluids and hybrid nanofluids in structured and irregular geometries. These flows play a critical role in material processing techniques (e.g., casting, additive manufacturing, and crystal growth), heat and mass transfer in composites, and design of functional fluids with tailored rheological or thermal properties.
A key focus will be the translation of theoretical models into robust tools for engineering and materials applications. This includes systems for thermal regulation, drug delivery, materials synthesis and flow-assisted self-assembly of nano- and microstructures. The issue encourages contributions that reveal the fluid-mechanics-driven dynamics underpinning material design, fabrication, and performance.
Topics of interest include, but are not limited to:
· Differential equations-based models in fluid mechanics with relevance to materials processing and transport phenomena.
· Numerical techniques for nonlinear systems in fluid mechanics as applied to porous media, soft materials, or complex interfaces.
· Nanofluid and hybrid nanofluid models with applications in thermal management, microfluidics, and advanced materials development.
· Fractional order systems capturing memory and anomalous transport effects in complex fluids and soft matter.
· Single and multiphase flow phenomena relevant to solidification, emulsions, and fluid-assisted material shaping.
· Magnetohydrodynamic flows with applications in metallurgy, electrochemical processing, and smart fluid systems.
· Uncertainty quantification and validation of fluid models against experimental data in materials research.
· Case studies demonstrating successful deployment of fluid models in industrial settings, particularly where material behavior is flow-dependent.
By bridging the gap between theoretical fluid mechanics, materials science, and industrial practice, this issue aims to foster interdisciplinary collaboration and accelerate innovation in fluid-mediated material technologies. We invite original research articles, comprehensive reviews, and technical case studies that demonstrate rigorous modeling approaches with direct impact on materials design, processing, and performance.
Keywords
differential equations, fluid flow, nanofluid, hybrid nanofluid, magnetohydrodynamics, numerical method, single and multiphase flow, fractional derivatives
Published Papers