Reynolds number effects on turbulent flow in curved channels

TL;DR

This study investigates how Reynolds number influences turbulence and large-scale flow structures in curved channels, revealing the effects of curvature and flow regime on secondary motions and turbulence production.

Contribution

It provides a systematic analysis of Reynolds number effects on turbulent flow in curved channels using direct numerical simulations, highlighting the role of large-scale structures and curvature.

Findings

Reynolds number significantly affects large-scale flow structures.

Curvature influences the dynamics of Dean vortices and secondary motions.

Transverse structures on convex walls are linked to streamwise instabilities.

Abstract

In this work, we study the flow in curved channels, an archetypal configuration that allows insights into problems featuring turbulence bounded by curved walls. Besides its relevance to many engineering applications, it exhibits a rich physics due to the presence of turbulence superimposed to large-scale structures driven by centrifugal instabilities. The resulting secondary motions, which depend on the channel geometry and Reynolds number, break symmetry between the convex and the concave surface. We investigate the effects of curvature by focusing on two cases of mildly and strongly curved channel, in which shear and inertia are supposed to control the general features of the flow, respectively. For each geometry, we examine systematically the effects of the Reynolds number: we run a campaign of direct numerical simulations covering flow regimes from laminar up to moderately high value of Reynolds number - based on bulk velocity and channel height - of 87000. Our analysis pivots around the friction coefficient, which is the macroscopic observable of the flow, and explores how the large-scale structures change their shape and role on turbulence for increasing Reynolds numbers. Special attention is paid to the longitudinal large-scale structures (resembling Dean vortices), and how their dynamics of splitting and merging is influenced by curvature. In addition, we also observe and characterise transverse large-scale structures populating the convex wall of strongly curved channels, which are originated by streamwise instabilities and contribute to the negative production of turbulence kinetic energy.