Exact solutions for near-wall turbulence theory

✍ Scribed by S. Nazarenko

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 51 KB
• Volume: 264
• Category: Article
• ISSN: 0375-9601
• DOI: 10.1016/s0375-9601(99)00840-3

✦ Synopsis

Using the 2D case as a simple example, we outline an analytical approach to the near wall turbulence outside of the viscous sublayer. Our theory combines the Reynolds averaged mean-flow equation nonlinearly coupled to the RDT equations for turbulence with a weak small-scale forcing. Such an external forcing models the dilute vortex debris propagating away from the wall as a result of intermittent bursts accompanying the breakdown of the coherent vortices in the viscous sublayer. We show that the Log law of the wall exists as an exact analytical solution in our model if the starting turbulent vorticity is statistically homogeneous in space and shortly correlated in time.