A numerical method of resolution of laminar incompressible flows in cones of revolution is proposed by asymptotic expansions in powers of 1/r (r radius vector).
Remarks on linearity allow to calculate all wanted terms, function after function, by fourth-order Runge-Kutta process.
Two examples are selected: the flow between two symmetric cones and one between a cone and a plane.
The study of the flow between two symmetric cones as a function of the aperture angle reveals the existence of two patterns separated by a discontinuity at approximately 156°.
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Fohr, J.P., Mallet, J. Ecoulement visqueux entre deux cones coaxiaux. Appl. Sci. Res. 30, 221–236 (1975). https://doi.org/10.1007/BF00705748