The self-similarity of wall-bounded temporally accelerating turbulent flows

Transition of Transient Channel Flow with High Reynolds Number Ratios

“…More recently, the transition nature of a transient turbulent flow starting from a turbulent flow has been demonstrated experimentally by Mathur et al [19] in a channel, and Sundstrom and Cervantes [20,21] in a circular pipe. The former focused on the transition physics, especially the abrupt changes in the length and time scales of turbulence as the transition occurs.…”

“…Their experiments were accompanied by large eddy simulations (LES) of the experiments and an analytical solution based on the extended Stokes first problem solutions for the early stages of the flow. Sundstrom and Cervantes [20] obtained an analytical solution for the pre-transition phase of an accelerating flow and demonstrated that the velocity profile possess a self-similarity during the early stages. Sundstrom and Cervantes [21] on the other hand compared experimental results of accelerating and pulsating flows.…”

Transient dynamics of accelerating turbulent pipe flow

“…The early experimental investigation conducted by Kurokawa & Morikawa (1986) explains that the velocity profile for an accelerating flow that starts from rest can be explained by the presence of a wide 'potential' core, together with a thin temporally developing boundary layer at the wall, which later evolves into a fully-developed turbulent profile. Likewise, more recent experimental (He & Jackson 2000) and numerical studies for transient flows starting from turbulent (Seddighi et al 2013; and laminar flow fields (Wu et al 2015) have revealed that the evolution of the mean velocity profile of an internal flow at its early stages can be understood as the superposition of the initial turbulent mean velocity profile and a developing laminar boundary layer (Sundstrom & Cervantes 2017;Mathur et al 2018). Consequently, this implies a reduction in the displacement thickness at the onset of the flow acceleration (Greenblatt & Moss 2004), superseded by a dramatic increase in the wall friction, which overshoots the steady-state values (Kurokawa & Morikawa 1986;Annus & Koppel 2011;He, Ariyaratne & Vardy 2011).…”

A Lagrangian relaxation towards equilibrium wall model for large eddy simulation

“…, Tardu & da Costa (2005),Tardu & Maestri (2010),Weng et al (2016),Sundstrom & Cervantes (2018a) andCheng et al (2020). Streamwise accelerating flows were considered byHe & Jackson (2000),Greenblatt & Moss (2004),He, Ariyaratne & Vardy (2008),He, Ariyaratne & Vardy (2011),,He & Seddighi (2013),He & Seddighi (2015),Jung & Chung (2012),Jung & Kim (2017),Sundstrom & Cervantes (2017) andSundstrom & Cervantes (2018c).…”