Microfluidic
(Image: darwin-microfluidics.com)Porous Media flow
(Image: Oregon State University)MD Simulations
(Image:Longshaw et al 2017)Complex Fluids
(Image: Soft Matter, 2011)Welcome to the One-Week Online Short Term Course (Self-Sponsored) on Mathematical Modeling of Complex Fluids and Flows – 2025 (MMCFF-2025). The course will be organized by the Department of Chemical Engineering, NIT Jalandhar, and is scheduled to be held from December 20–24, 2025.
Mathematical modeling of complex fluids and flows involves applying mathematical and computational techniques to understand the behavior of fluids exhibiting non-Newtonian and/or multi-phase characteristics. Examples of such fluids include suspensions, emulsions, polymers, and biological fluids. The complexity of these systems arises from the interaction of multiple components—such as particles, droplets, or macromolecules—as well as their non-linear and often time-dependent rheological properties.
To model complex fluids and flows a variety of mathematical approaches are employed. Continuum-based methods such as the Navier–Stokes equations describe the macroscopic behavior of fluids while discrete methods such as molecular dynamics and Monte Carlo simulations explore the interactions at a microscopic level. These techniques allow researchers to investigate how individual interactions collectively influence macroscopic properties like viscosity, elasticity, and yield stress. Moreover, numerical simulations are increasingly used to predict and optimize complex fluid behavior in applications spanning microfluidics, pharmaceuticals, food processing, and the oil and gas industry. Insights gained from these simulations help in designing efficient and effective processing strategies for handling complex fluids in practical systems.
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