Exact solution of a differential problem in analytical fluid dynamics: use of Airy's functions
arXiv:math/0606723
Abstract
Treating a boundary value problem in analytical fluid dynamics, translation of 2D steady Navier-Stokes equations to ordinary differential form leads to a second order equation of Riccati type. In the case of a compressible fluid with constant kinematic viscosity along streamlines, it is possible to find an exact solution of the differential problem by rational combination of Airy's functions and their derivatives.
7 pages