Solutions of the Jeffery-Hamel Problem Regularly Extendable in the Reynolds Number

The problem of steady viscous flow in a convergent channel is analyzed analytically and numerically for small, moderately large and asymptotically large Reynolds numbers over the entire range of allowed convergence angles. Attention is focused on regularly extendable problem solutions, for which purpose a high-accuracy hybrid numerical-analytical method of accelerated convergence and extension in a parameter is developed. For sufficiently large angles, the existence of tri-modal regimes symmetrical about the bisectrix and containing in- and outflow regions is established. The evolution of the velocity profiles with unbounded increase in the Reynolds number is investigated. Flow regimes for the critical convergence angle, which cannot be regularly extended in the parameter, are also studied. Several novel hydromechanical effects are noted.