Retained-spin micropolar hydrodynamics from the Boltzmann--Curtiss equation: a generalized Chapman--Enskog construction

This project is an academic contribution to the field of non-equilibrium statistical mechanics and fluid dynamics. It addresses a specific gap in micropolar hydrodynamics (fluids with internal rotational degrees of freedom) by deriving a new closure model that keeps spin as a primary variable rather than treating it as a fast-relaxing parameter. From a software perspective, the defensibility is low (2/10) because it is currently a theoretical reference implementation with no stars, no community, and a very recent release date. It is a 'paper-plus-code' repo rather than a tool. Frontier labs like OpenAI have zero interest in specialized kinetic theory for micropolar fluids, making the frontier risk 'low'. The primary value is intellectual; the moat would be the specific mathematical expertise required to implement this in a CFD (Computational Fluid Dynamics) solver like OpenFOAM or a custom Lattice Boltzmann method. Competitors would be other theoretical frameworks or established CFD libraries, but since this is research, the 'market' is peer-reviewed citations rather than commercial users.