“…This phenomenon is associated with the unsteady motions of the Dean vortices (Dean, 1927(Dean, , 1928 downstream of 90 • bends. It has been the focus of many studies in the past two decades (Rütten et al, 2001(Rütten et al, , 2005Ebara et al, 2010;Ono et al, 2011;Takamura et al, 2012;Sakakibara and Machida, 2012;Kalpakli et al, 2012;Kalpakli andÖrlü, 2013;Hellström et al, 2013;Kalpakli Vester et al, 2015;Carlsson et al, 2015;Tunstall et al, 2016;Noorani and Schlatter, 2016;, and this phenomenon is directly associated with the thermal and mechanical fatigue in pipeline systems.…”