#7361. Boundary Conditions and Polymeric Drag Reduction for the Navier–Stokes Equations

September 2026publication date
Proposal available till 13-05-2025
4 total number of authors per manuscript0 $

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Journal’s subject area:
Mathematics (miscellaneous);
Analysis;
Mechanical Engineering;
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Abstract:
Reducing wall drag in turbulent pipe and channel flows is an issue of great practical importance. In engineering applications, end-functionalized polymer chains are often employed as agents to reduce drag. These are polymers which are floating in the solvent and attach (either by adsorption or through irreversible chemical binding) at one of their chain ends to the substrate (wall). We propose a model to study this setup in the simple setting where the solvent is a viscous incompressible Navier–Stokes fluid occupying the bulk of a smooth domain.
Keywords:
Boundary conditions; polymeric drag reduction; Navier–Stokes equations

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