Fluid Dynamics

These pages develop fluid models from classical frames, primitive quantities and units through boundary data, constitutive assumptions and conditional predictions. Newtonian stress and Fourier conduction lead to periodic incompressible evolution, mechanical power balances and exact flow examples. Restricted non-Newtonian models, kinetic descriptions, wall and free-surface qualifications, geophysical approximations and phase-field assumptions extend the collection. Numerical and statistical pages distinguish properties of a calculation from its physical interpretation, including measurement, assimilation and calibrated model evidence.

Read each model's adopted assumptions and physical scope alongside its conclusions. Mathematical deductions establish consequences within those assumptions; they do not by themselves establish empirical validity or resolve open closure and regularity questions. The mathematical companion category supplies the function spaces, estimates and numerical constructions used here. Each main page has an examples companion, and the prerequisite links identify the earlier definitions and results needed for that page. The table below orders the available pairs by their dependencies.