Exact solution of a differential problem in analytical fluid dynamics: use of Airy's functions

Details Exact solution of a differential problem in analytical fluid dynamics: use of Airy's functions Exact solution of a differential problem in analytical fluid dynamics: use of Airy's functions

2006-06-28

arxiv.org/abs/math/0606723v1

Mathematics

Classical Analysis and ODEs

7 pages

Scientific paper

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.

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