A variational theory of lift

In this paper we revive a special, less-common, variational principle in analytical mechanics (Hertz’ of least curvature) to develop novel analogue Euler's equations for the dynamics an ideal fluid. The new formulation is fundamentally different from those formulations based on Hamilton's action. Using formulation, generalize century-old problem flow over two-dimensional body; developed closure condition that is, unlike Kutta condition, derived first principles. reduces classical Kutta–Zhukovsky special case sharp-edged airfoil, which challenges accepted wisdom about being manifestation viscous effects. Rather, found it represents conservation momentum. Moreover, provides, time, theoretical model lift smooth shapes without sharp edges where not applicable. We discuss how fundamental divergence current theory can explain discrepancies computational studies and experiments with superfluids.