Mean Velocities and Reynolds Stresses in the Juncture Flow and in the Shear Layer Downstream of an Appendage


Book Description

Experimental measurements were carried out in an incompressible 3-dimensional turbulent shear layer at locations in the corner near the trailing edge and also downstream of an appendage mounted perpendicular to a flat plate. A fully developed turbulent boundary layer was growing on the plate. The symmetrical appendage had an elliptical nose and was aligned with the flow. Thickness of the boundary layer as it approached the appendage leading edge was 76 mm or 1.07 times the maximum thickness of the appendage. Shear layer thickness was small compared to the appendage span. As the oncoming boundary layer passed around the appendage, a strong secondary flow was formed which was dominated by a pair of streamwise vortices trailing downstream in the corner and into the shear layer behind the appendage. This secondary flow had major effect in redistributing both the mean flow and turbulence quantities throughout the shear layer, and this effect persisted to a significant degree up to at least 3 chord lengths behind the appendage leading edge. At the appendage trailing edge, the core of the vortex-like secondary flow was located at 8% of the shear layer thickness above the plate and 0.40 appendage thickness away from the trailing edge itself. At 3 chord lengths downstream of the appendage leading edge the core had moved away from the plate a distance corresponding to about 29% of the local shear layer thickness while simultaneously moving outboard to a distance of 0.80 appendage thickness from the plane of symmetry.




Reynolds Stress Modeling of Turbulent Open-channel Flows


Book Description

This book presents numerical simulations of three-dimensional turbulent open-channel flows. In the simulations, Reynolds-averaged Navier-Stokes equations are solved with the Reynolds stress model for turbulence closure. The overall solution strategy is the SIMPLER algorithm, and the power-law scheme is used to discretise the convection and diffusion terms in the governing equations. The Reynolds stress model is applied to rectangular open-channel flows, partly-vegetated open-channel flows, and compound open-channel flows. The simulated mean flow and turbulence structures including streamwise mean velocity, secondary currents, turbulence intensity, and Reynolds stress, are provided and compared with measure data in the literature. As shown in this book, these comparisons reveal that the proposed Reynolds stress model successfully predicts the mean flow and turbulence statistics of turbulent open-channel flows.













A New Hypothesis on the Anisotropic Reynolds Stress Tensor for Turbulent Flows


Book Description

This book gives a mathematical insight--including intermediate derivation steps--into engineering physics and turbulence modeling related to an anisotropic modification to the Boussinesq hypothesis (deformation theory) coupled with the similarity theory of velocity fluctuations. Through mathematical derivations and their explanations, the reader will be able to understand new theoretical concepts quickly, including how to put a new hypothesis on the anisotropic Reynolds stress tensor into engineering practice. The anisotropic modification to the eddy viscosity hypothesis is in the center of research interest, however, the unification of the deformation theory and the anisotropic similarity theory of turbulent velocity fluctuations is still missing from the literature. This book brings a mathematically challenging subject closer to graduate students and researchers who are developing the next generation of anisotropic turbulence models. Indispensable for graduate students, researchers and scientists in fluid mechanics and mechanical engineering.




Turbulent Flow


Book Description