2023/10/30 by T. W. Lee, Lee, T. W., Jung‐Eun Park +1
Engineering · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Heat Transfer Mechanisms #Particle Dynamics in Fluid Flows
paper · pdf · doi:10.48550/arxiv.2310.19723
openalex publication_date 2023/10/30 · openalex created_date 2023/11/01 · openalex updated_date 2026/07/28
Using the Lagrangian transport analysis for the turbulence momentum, the Reynolds stress gradient can be expressed as a function of the local momentum flux and force terms. From this perspective of an observer moving at the local mean velocity, the Reynolds stress gradient represents the lateral transport of streamwise momentum, balanced by the u'2 transport, pressure and viscous force terms. Data from direct numerical simulations (DNS) have been used to validate this approach for adverse pressure-gradient boundary layer flows at Clauser parameter of 1.4 and 39 (Kitsios et al., 2017), with a good degree of consistency and agreements. Minute fluctuations and attributes in the Reynolds shear stress profile are replicated through the Lagrangian momentum equation. Gradient analysis also leads to scaling at the first- and second-derivative levels, for u'2, v'2 and u'v'.