Mathematical simulation of laminar-turbulent transition and the turbulence scale estimation

Abstract

The laminar-turbulent transition, analyzed in this work represents a particular interest for various branches of science and engineering. From the practical point of view, the turbulence scale represents one of the most important problems. This article goal of the article consisted in developing a deterministic mathematical model of laminar-turbulent transition effect. Elaborated is an original method for estimating the turbulence scale on the basis of the laminar flow stability problem solution and calculation of the wave length that corresponds to the fastest growth rate perturbation. This method efficiency is demonstrated by its application to investigate the flame waves and detonations structure and instability.

Keywords

• laminarity
• turbulence
• instability
• mathematical model
• deflagration
• detonation