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

Gianluca Argentini
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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.

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Gianluca Argentini. 2006-06-28. Exact solution of a differential problem in analytical fluid dynamics: use of Airy's functions. https://arxiv.org/abs/math/0606723

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