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Updated: Jul 31, 2026

Investigating the Three-dimensional Flow Separation Induced by a Model Vocal Fold Polyp
Published on: February 3, 2014
Effect of vorticity production on the structure and velocity of curved flames
Kirill A Kazakov1, Michael A Liberman
1Department of Physics, Uppsala University, Box 530, S-751 21, Uppsala, Sweden.
Abstract:
A nonlinear equation describing curved stationary flames with arbitrary gas expansion theta = rho(fuel)/rho(burnt) is obtained in a closed form without an assumption of weak nonlinearity. The equation respects all conservation laws and takes into account vorticity production in the flame. In the scope of the asymptotic expansion for theta -->1, the new equation solves the problem of stationary flame propagation with accuracy of the sixth order in theta - 1. Its analytical solutions give the flame velocity in tubes of arbitrary width, which agrees with available results of direct numerical modeling.
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